Jan Prüß
Professor of Mathematics

siegfried_carl Department of Mathematics Theodor-Lieser-Straße 5
06120 Halle (Saale)
Office No. 1.34
Phone +49 345 55 24633
Fax + 49 345 55 27003
Email: jan.pruess@mathematik.uni-halle.de

Postal Address Prof. Dr. Jan Prüß
Martin-Luther-Universität
Halle-Wittenberg
Institut für Mathematik
06099 Halle (Saale), Germany
Jan Prüß - Professor of Mathematics
Curriculum Vitae

Jan. 13, 1951Born in Heiligenhafen, Kreis Ostholstein
1969-1976Studies in mathematics/physics, Diploma (Master), CAU Kiel
1976-1981Research associate, Univ. Paderborn
January 1979Ph.D. (Dr.rer.nat.), Supervisor Prof. K. Deimling, Univ. Paderborn
1981-1987Assistant professor (C1), Univ. Paderborn
June 1984Habilitation (Dr. rer. nat. habil.), Univ. Paderborn
1988-1992Heisenberg scholarship holder of the German Research Foundation (DFG)
1993Monograph 'Evolutionary Integral Equations and Applications', Birkhäuser Verlag, Basel
Spring 1993Representation of the professorship (C3) for 'Analysis', Univ. Oldenburg
June 1993Adjunct professor, Univ. Paderborn
Sept. 1993Offered a chair for 'Analysis', Univ. Weimar
1993-94Substitution of the chair for 'Analysis', Univ. Weimar
March 1994Offer on the professorship (C4) for 'Applied Analysis', Martin-Luther Univ. Halle-Wittenberg
since Oct. 1994University professor (C4) for 'Applied Analysis', Martin-Luther-Univ. Halle-Wittenberg
since 1999Co-publisher of the 'TC-Schriftenreihe', Shaker Verlag, Aachen
since March 2000Co-publisher of the 'Journal of Evolution Equations', Birkhäuser Verlag, Basel
March 2002Offer on the professorship (C4) in 'Analysis', Univ. Hannover
August 2002Refusal of the appointment at Hannover
2003-2006Vice Dean of the department of mathematics and informatics, Martin-Luther-Univ. Halle-Wittenberg
Sept. 2008Offer on the W3-professorship at the cluster of excellence 'Smart Interfaces', Darmstadt
2008Monograph 'Mathematische Modelle in der Biologie', Mathematik Kompakt, Birkhäuser, Basel
2010Monograph 'Gewöhnliche Differentailgleichungen und Dynamische Systeme', Birkhäuser, Basel.
since 2012Editor of 'Evolution Equations and Control Theory'
2016Monograph 'Moving Interfaces and Quasilinear Parabolic Evolution equations', Monographs im Mathematics 105, Birkhäuser Verlag, Basel
Jan Prüß - Professor of Mathematics
Workshops

January 1996Oberwolfach conference Funktionalanalysis und partielle Differentialgleichungen
March 1998Workshop of the Volkswagen Stiftung Maximale Regularität parabolischer Probleme, Alexisbad
March 2000Oberwolfach conference Functional Analysis and Partial Differential Equations
March 2001DFG-Workshop Maximale Regularität und Asymptotik elliptischer und parabolischer Probleme, Halle
Dec. 2002Workshop of the Volkswagen Stiftung Modelling and Analysis of Moving Boundaries
Dec. 2003Workshop of the Volkswagen Stiftung Elliptic and Parabolic Problems in Rough Environments
February 2006Organisation of the workshop Analysis und Numerik freier Randwertprobleme, Halle
May 2009Co-organizer of the conference Nonlinear Parabolic Problems in Bedlewo, Poland
March 2013Workshop Maxwell-Stefan meets Navier-Stokes, Halle
Jan Prüß - Professor of Mathematics
Guest Professorships

1982–1983Visiting Assistant Prof., Southern Illinois University, Carbondale, Illinois
1985-1986Visiting Associate Prof., Virginia Polytechnic Institute and State University, Blacksburg, Virginia
June 1988Guest professorship at the Univ. Besancon
Fall 1988/89Guest professorship at the TU Delft
Fall 1989/90Guest professorship at the Univ. Zürich
May 1991Guest professorship at the Univ. Hiroshima
Fall 1991/92Guest professorship at the Univ. Graz
Sept. 1994Guest professorship at the TU Delft
June 1995Guest professorship at the Univ. Besancon
Aug. 2000Guest professorship at the Helsinki University of Technology
08/2002-04/2003Guest professorship at the Vanderbilt University, Nashville
June 2008Guest professorship at the Université de Le Havre
Jan Prüß - Professor of Mathematics
Publications

Monographs
  1. Moving Interfaces and Quasilinear Parabolic Evolution equations', Monographs im Mathematics 105, Birkhäuser Verlag, Basel 2016
  2. Gewöhnliche Differentialgleichungen und Dynamische Systeme. Birkhäuser Verlag, Basel 2010 (mit M. Wilke)
  3. Mathematische Biologie. Mathematik Kompakt, Birkhäuser Verlag, Basel 2008. (with R. Schnaubelt, R. Zacher)
  4. R-boundedness, Fourier multipliers, and problems of elliptic and parabolic type. Memoirs Amer. Math. Soc. 166 no. 788 (2003) (with R. Denk, M. Hieber)
  5. Evolutionary Integral Equations and Applications. Modern Birkhäuser Classics, Birkhäuser Verlag, Basel, 2012.
  6. Evolutionary Integral Equations and Applications. Monographs in Mathematics 87, Birkhäuser Verlag, Basel, 1993.
Mathematics Articles
  1. Well-posedness and qualitative behaviour of the Navier-Stokes equations on compact hypersurfaces without boundary in R^(d+1). eingereicht (mit G. Simonett, M. Wilke)
  2. On the bidomain problem with Fitzhugh-Nagumo transport. eingereicht (mit M. Hieber)
  3. Stability of the motion of a cavity filled with a viscous liquid. eingereicht (mit G. Simonett, G. Mazzone)
  4. Dynamics of the Ericksen-Leslie equations with general Leslie stress II: the compressible isotropic case. eingereicht (mit M. Hieber)
  5. Lp-theory for the bidomain operator. eingereicht (mit M. Hieber)
  6. The Rayleigh-Taylor instability for the Verigin problem with and without phase transition. eingereicht (mit G. Simonett, M. Wilke)
  7. Qualitative behaviour of incompressible two-phase flows with phase transitions: the isothermal case. Math. Sci. erscheint 2018 (mit S. Shimizu)
  8. On the Verigin problem with and without phase transition. Interfaces & Free Boundaries erscheint 2018 (mit G. Simonett)
  9. Critical spaces for quasilinear parabolic evolution equations and applications. J. Differential Eqns. erscheint 2018 (mit G. Simonett, M. Wilke)
  10. On critical spaces for the Navier-Stokes equations. J. Math. Fluid Mech. erscheint 2018 (mit M. Wilke)
  11. Modeling of two-phase flows with and without phase transitions. In: Handbook of Mathematical Analyis in Mechanics of Viscous Fluids. erscheint 2018 (mit S. Shimizu)
  12. Modeling and analysis of the Ericksen-Leslie equations for nematic liquid crystal flows. In: Handbook of Mathematical Analyis in Mechanics of Viscous Fluids. erscheint 2018 (mit M. Hieber)
  13. Vector-valued Fourier multipliers in Lp-spaces with power weigths. Studia Math. erscheint 2018
  14. On some classes of elliptic systems with fractional boundary relaxation. J. Integral Eqns. Appl. erscheint 2017
  15. On a Navier-Stokes-Ohm problem from plasma physics. J. Evolution Eqns. erscheint 2017 (mit S. Shimizu)
  16. Modeling and analysis of nematic liquid crystal flows I. Math. Ann. 369, 977-996 (2017) (mit M. Hieber)
  17. Addendum to the paper 'On quasilinear evolution equations in weighted Lp-spaces II'. J. Evolution Eqns. 17, 1381-1388 (2017) (mit M. Wilke)
  18. On Maxwell-Stefan diffusion with chemical reactions. Nonlinear Analysis 159, 264-284 (2017) (mit M. Herberg, M. Meyries, M. Wilke)
  19. Modeling and analysis of reactive multi-component two-phase flow with mass transfer and phase transition: The isothermal incompressible case. Discrete Cont. Dyn. Sys. (S) 10, 673-696 (2017) (mit D. Bothe)
  20. On second-order elliptic operators with complete first-order boundary degeneration and strong outward drift. Archiv Math. 108, 301-311 (2017)
  21. On the quasi-geostrophic equations on closed compact hyper-surfaces in R3. J. Functional Anal. 272, 2641-2658 (2017)
  22. Singular perturbation approach to Legendre type operators. Riv. Mat. Univ. Parma 7, 309-319 (2016) (mit A. Favini, N. Okazawa)
  23. On the interface formation model for dynamic triple lines. Springer Proc. Math. & Statistics 183, Y. Suzuki, Y. Shibata (eds.) Mathematical Fluid Dynamics: Present and Future, 25-47 (2016) (mit D. Bothe)
  24. Thermodynamical consistent modeling and analysis of nematic liquid crystal flows. Springer Proc. Math. & Statistics 183, Y. Suzuki, Y. Shibata (eds.) Mathematical Fluid Dynamics: Present and Future, 433-459 (2016) (mit M. Hieber)
  25. On the Muskat flow. Evolution Eqns. Control Th. 5, 631-645 (2016) (mit G. Simonett)
  26. The Hartman-Grobman theorem for semilinear hyperbolic evolution equations. J. Di erential Eqns. 261, 4709-4727 (2016) (mit M.-L. Hein)
  27. Semigroup-theoretic approach to identifcation of linear diffusion coeffcients. Discrete Cont. Dyn. Systems Ser. S 9, 777-790 (2016) (mit G. Mola, N. Okazawa, T. Yokota)
  28. On Incompressible Two-Phase Flows with Phase Transitions and Variable Surface Tension. Rec. Developments in Math. Fluid Dyn., eds. H. Amann et al., 411-442, Springer Verlag, Berlin (2016) (mit S. Shimizu, G. Simonett, M. Wilke)
  29. On thermodynamically consistent Stefan problems with variable surface energy. Arch. Rat. Mech. Anal. 220, 603-638 (2016) (mit G. Simonett, M. Wilke)
  30. Dynamics of Nematic Liquid Crystal Flows. Ann. Inst. H. Poincaré-NA 33, 397-408 (2016)(mit M. Hieber, M. Nesensohn, K. Schade)
  31. On the regularity of the interface of a thermodynamically consistent two-phase Stefan problem with surface tension. Interfaces & Free Boundaries 17, 555-600 (2015) (mit Y. Shao, G. Simonett)
  32. Perturbation of Exponential Dichotomiess for Hyperbolic Evolution Equations. Operator Theory: Adv. Appl. 250, 453-461 (2015)
  33. On quasilinear evolution equations in weighted L_p-spaces II. J. Evol. Eqns. 14, 509-533 (2014) (mit J. LeCrone, M. Wilke)
  34. Qualitative behaviour of incompressible two-phase flows with phase transitions: the case of different densities. Com. Part. Diff. Eqns. 39, 1236-1283 (2014) (mit S. Shimizu, M. Wilke)
  35. Qualitative behaviour of incompressible two-phase flows with phase transitions: equal densities. Interfaces & Free Boundaries 15, 405-428 (2013) (mit G. Simonett, R. Zacher)
  36. Energy preserving boundary conditions for the Navier-Stokes equations. SIAM J. Math. Anal. 45, 3768-3822 (2013) (mit D. Bothe, M. Köhne)
  37. Singular limits for the two-phase Stefan problem. Discrete Cont. Dyn. Sys. A, 33, 5379-5405 (2013) (mit J. Saal, G. Simonett)
  38. Invariant Foliations near normally hyperbolic equilibria for quasilinear parabolic problems. Adv. Nonlinear Studies, 13, 231-244 (2013) (mit G. Simonett, M. Wilke)
  39. On the manifold of closed hyper-surfaces in R^n. Discrete Cont. Dyn. Sys. A, 33, 5407-5428 (2013) (mit G. Simonett)
  40. Qualitative behaviour of solutions for thermodynamically consistent Stefan problems with surface tension. Arch. Rat. Mech. Anal. 207, 611-667 (2013) (mit G. Simonett, R. Zacher)
  41. Qualitative behaviour of solutions for the two-phase Navier-Stokes equations with surface tension. Math. Ann. 356, 737-792 (2013) (mit M. Köhne, M. Wilke)
  42. On well-posedenss of incompressible two-phase flows with phase transition: non-equal densities. J. Evol. Eqns. 12, 917-941 (2012) (mit S. Shimizu)
  43. On well-posedness of incompressible two-phase flows with phase transition: the case of equal densities. Evolution Equations & Control Theory 1, 171-194 (2012) (mit Y. Shibata, S. Shimizu, G. Simonett)
  44. On conserved Penrose-Fife type models. Progr. Nonlinear Differential Equations Appl. 80, 541–576 (2011) (with M. Wilke)
  45. Analytic solutions for the two-phase Navier-Stokes equations with surface tension and gravity. Progr. Nonlinear Differential Equations Appl. 80, 507–540 (2011) (with G. Simonett)
  46. On the Rayleigh-Taylor instability for the two-phase Navier-Stokes equations. Indiana Univ. Math. J. 59 (2010), no. 6, 1853–1871 (with G. Simonett)
  47. On the two-phase Navier-Stokes equations with surface tension. Interfaces Free Bound. 12 (2010), no. 3, 311–345 (with G. Simonett)
  48. Stability of equilibria of two-phase flows with soluable surfactant. Q. Jl. Mech. Appl. Math. 63, 177-199 (2010) (with D. Bothe)
  49. On quasilinear evolution equations in weighted Lp-spaces. J. Evol. Equ. 10 (2010), no. 2, 443–463 (with M. Köhne, M. Wilke)
  50. On the two-phase Navier-Stokes equations with Boussinesq-Scriven surface fluid. J. Math. Fluid Mech. 12, 133-50 (2010) (with D. Bothe)
  51. Well-posedness and long-time behaviour for the non-isothermal Cahn-Hilliard equation with memory. Discrete Contin. Dyn. Syst. 26 (2010), no. 2, 625–647 (with V. Vergara, R. Zacher)
  52. On normal stability for nonlinear parabolic problems. Amer. Inst. Math. Supplement, 612-621 (2009) (with G. Simonett, R. Zacher)
  53. Analysis of the boundary symbol for the two-phase Navier-Stokes equations with surface tension. Banach Center Publ. 86, 265-285 (with G. Simonett)
  54. On convergence to equilibria of solutions of quasilinear parabolic problems. J. Differential Equations 246 (2009), no. 10, 3902-3931 (with G. Simonett, R. Zacher)
  55. Exponential and polynomial stability of wave equations for boundary memory damping with singular kernels. C.R. Acad. Sci. Paris, Ser. I 347, 277-282 (2009) (with F. Alabau-Boussouira, R. Zacher)
  56. Decay properties for the solutions of a partial differential equation with memory. Arch. Math. 92, 158-173 (2009).
  57. Global properties of generalized Ornstein-Uhlenbeck operators on Lp with more than linearly growing coefficients. J. Math. Anal. Appl. 350, 100-121 (2009) (with M. Hieber, L. Lorenzi, A. Rhandi, R. Schnaubelt)
  58. Global Asymptotic stability of equilibria in models for virus dynamics. Math. Model. Nat. Phenom. 3 (2008), no. 7, 126-142. (with R. Schnaubelt, R. Zacher)
  59. Maximal Lp-regularity of parabolic problems with boundary dynamics of relaxation type. J. Funct. Anal. 255, 3149-3187 (2008) (with R. Denk, R. Zacher)
  60. An analysis of Asian options. Functional analysis and evolution equations, 547-559, Birkhäuser, Basel, 2008. ( with S. Sperlich, M. Wilke)
  61. Stability of equilibria for the Stefan problem with surface tension. SIAM J. Math. Anal. 40, 675-698 (2008) (with G. Simonett)
  62. Center manifolds and dynamics near equilibria of quasilinear parabolic systems with fully nonlinear boundary conditions. Discrete Contin. Dyn. Syst. Ser. B 9, 595-633 (2008). (with Y. Latushkin, R. Schnaubelt)
  63. Maximal regularity for degenerate evolution equations with an exponential weight function. Functional analysis and evolution equations, 531-545, Birkhäuser, Basel, 2008. (with G. Simonett)
  64. Lp-theory for some elliptic and parabolic problems with first order degeneracy at the boundary. J. Math. Pures Appl. 87, 367-393 (2007). (with S. Fornaro, G. Metafune, D. Pallara)
  65. Lp-theory for a class of non-Newtonian fluids. SIAM J. Math. Anal. 39, 379-421 (2007) (with D. Bothe)
  66. Optimal Lp-Lq-regularity for parabolic problems with inhomogeneous boundary data. Math.Z. 257, 193-224 (2007) (with R. Denk, M. Hieber)
  67. H∞-calculus for the sum of noncommuting operators. Trans.Amer.Math.Soc. 359, 3549-3565 (2007) (with G. Simonett)
  68. Existence of analytic solutions for the classical Stefan problem. Math. Annalen 338, 703-755 (2006) (with J. Saal, G. Simonett)
  69. Stable and unstable manifolds for quasilinear parabolic systems with fully nonlinear boundary conditions. J.Evol.Eqns. 6, 537–576 (2006) (with Y. Latushkin, R. Schnaubelt)
  70. Analysis of a Model for the Dynamics of Prions II. J. Math. Anal. Appl. 324, 98–117 (2006) (with H. Engler, G.F. Webb)
  71. Polynomial stability of operator semigroups. Math. Nachr. 279, 1425–1440 (2006) (with A. Batkai, K.-J. Engel, R. Schnaubelt)
  72. The domain of elliptic operators on Lp(Rd) with unbounded drift coefficients. Houston J. Math. 32, 563–576 (2006) (with A. Rhandi, R. Schnaubelt)
  73. Analysis of a Model for the Dynamics of Prions. Discrete Cont. Dyn. Systems 6, 225–235 (2006), with G.F. Webb, R. Zacher)
  74. Convergence to steady states of solutions of the Cahn-Hilliard equation with dynamic boundary conditions. Math. Nachr. 279, 1448–1462 (2006) (with R. Chill, E. Fasangova)
  75. Operator-valued symbols for elliptic and parabolic problems on wedges. Operator Theory 168, 189–208 (2006) (with G. Simonett)
  76. Maximal Lp-regularity for the Cahn-Hilliard equation with nonconstant temperature and dynamic boundary condition. Operator Theory 168, 209–236 (2006) (with M. Wilke)
  77. Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions. Annali di Matematica 185(4), 627–648 (2006) (with R. Racke, S. Zheng)
  78. Well-posedness of a two-phase flow with soluble surfactant. Progr.Nonlin.Diff.Eqns.Appl. 64, 34–61 Birkhäuser Verlag, Basel 2005 (with D. Bothe, G. Simonett)
  79. Lp-theory for elliptic operators on Rd with singular coefficients. Z. Analysis Anw. 24, 497–521 (2005) (with G. Metafune, D. Pallara, R. Schnaubelt)
  80. Analytic solutions for the classical two-phase Stefan problem. Proc. Equadiff-11, 1-11 (2005) (with J. Saal, G. Simonett)
  81. Lp-regularity for elliptic operators with unbounded coefficients. Adv. Diff. Eqns. 10, 1131–1164 (2005) (with G. Metafune, A. Rhandi, R. Schnaubelt)
  82. Maximal regularity for evolution equations in weighted Lp-spaces. Archiv Math. 82, 415–431 (2004) (with G. Simonett)
  83. New thoughts on old results of R.T.Seeley. Math. Ann. 328, 545–583 (2004) ( with R. Denk, G. Dore, M. Hieber, A. Venni)
  84. Analytic solutions for a Stefan problem with Gibbs-Thomson correction. J. Reine Angew. Math. 506, 1–52 (2003) (with J. Escher, G. Simonett)
  85. A new approach to the regularity of solutions for parabolic equations. Evolution Equations: Proceedings in Honor of J.A. Goldstein’s 60th Birthday, (eds. G.R. Goldstein, R. Nagel, S. Romanelli), Marcel Dekker, New York (2003), 167-190. (with J. Escher, G. Simonett)
  86. Maximal regularity for evolution equations in Lp-spaces. Conf. Sem. Mat. Univ. Bari 285, 1–39 (2003)
  87. Global well-posedness and stability of a fractional partial differential equation with applications in viscoelasticty. J. Evolution Eqns. 3, 169–201 (2003) (with S-O. Londen, H. Petzeltova)
  88. Towards an L1-theory for vector-valued elliptic boundary value problems. Proc. 7th Int. Conf. on Evolution equations, Prog. Nonl. Diff. Equ. Applns. 55, 141–147 (2003) (with R. Denk, M. Hieber)
  89. Some remarks on maximal regularity of parabolic problems. Proc. 7th Int. Conf. on Evolution Equations, Prog. Nonl. Diff. Equ. Applns. 55, 101–111 (2003) (with Ph. Clément)
  90. On the Stefan problem with surface tension. Proc. 4th European Conf.“Elliptic and Parabolic Problems”, Rolduc and Gaeta 2001, eds. J. Bemelmans et al., World Scientific 2002 (with J. Escher, G. Simonett)
  91. Mass transport through charged membranes. Proc. 4th European Conf.“Elliptic and Parabolic Problems”, Rolduc and Gaeta 2001, eds. J. Bemelmans et al., World Scientific 2002 (with D. Bothe)
  92. Maximal regularity for abstract parabolic problems with inhomogeneous boundary data. Math. Bohemica 127, 311-317 (2002)
  93. The domain of the Ornstein-Uhlenbeck operator on a Lp-space with invariant measure. Ann. Scuola Norm. Sup. Pisa Cl. Sci (5), Vol. I, 471-485 (2002) (with G. Metafune, A. Rhandi, R. Schnaubelt)
  94. Lp-Theory of the Stokes equation in a half space. J. Evolution Eqns. 1, 115-142 (2001) (with W. Desch, M. Hieber)
  95. Solvability and maximal regularity for parabolic evolution equations with coefficients continuous in time. J. Math. Anal. Appl. 256, 405–430 (2001) (with R. Schnaubelt)
  96. Asymptotic behaviour of linear evolutionary integral equations. Int. Eqns. Op. Th. 39 193–213 (2001) (with R. Chill)
  97. Asymptotic behaviour of a semilinear viscoelastic beam model. Arch. Math. 77, 488-497 (2001) (with E. Fasángova)
  98. An operator-valued transference principle and maximal regularity on vector-valued Lp-spaces. Proc. 6th Int. Conf. on Evolution Equations, Marcel Dekker 2000 (with Ph. Clément)
  99. Global stability of a fractional partial differential equation. J. Int. Eqns. Appl. 12, 323–347 (2000) (with H. Petzeltova)
  100. Dynamics of a core-shell reaction diffusion system. Comm. Part. Diff. Eqns. 24, 463–497 (1999) (with D. Bothe)
  101. Evolution equations with dissipation of memory type. Topics in Nonlinear Analysis, Birkhäuser Verlag, Basel 1998 (with E. Fasángova)
  102. Evolution problems with nonlocal damping. Semi-groupes d'oprateurs et calcul fonctionnel (Besanon, 1998), 113-119, Publ. Math. UFR Sci. Tech. Besanon, 16, Univ. Franche-Comt, Besanon, 1998.
  103. Functional calculi for linear operators in vector-valued Lp-spaces via the transference principle. Adv.Diff.Eqns. 3, 847–872 (1998) (with M. Hieber)
  104. Poisson estimates and maximal regularity for evolutionary integral equations. Rend. Istit. Mat. Univ. Trieste 28, 287–321 (1997)
  105. On a fractional partial differential equation with dominating linear part. Math. Meth. Appl. Sci. 20, 1427–1448 (1997) (with G. Gripenberg, S.-O. Londen)
  106. White noise perturbation of the equations of linear viscoelasticity. Rend.Istit.Mat.Univ.Trieste 29, 207–220 (1997) (with Ph. Clément, G. Da Prato)
  107. Heat kernels and maximal Lp-Lq-estimates for parabolic evolution equations. Comm. Part. Diff. Eqns. 22, 1647–1669 (1997) (with M. Hieber)
  108. A theorem of the Dore-Venni type for non-commutative operators and applications to evolution equations. Trans. Amer. Math. Soc. 349, 4787-4814 (1997) (with S. Monniaux)
  109. On wave equations with boundary dissipation of memory type. J. Integral Eqns. Appl. 8, 99–123 (1996) (with G. Propst)
  110. Persistent age-distributions for a pair formation model. J. Math. Biology 33, 17–33 (1994) (with W. Schappacher)
  111. Dynamical behaviour of a two-phase chemical reacting system including mass transfer. Diff. Int. Eqns. 7, 767–793 (1994) (with W. Desch)
  112. Semigroup Methods for Age-Structured Population Dynamics. Eingeladener übersichtsartikel, Jahrbuch 'Überblicke Mathematik 1994', Vieweg Verlag 1994. (with W. Schappacher)
  113. Stability of linear hyperbolic viscoelasticity. Proc. Workshop on Nonlinear and Inelastic Material Behaviour, Darmstadt 1992. Bonner Math. Schriften 1993.
  114. Weak almost periodicity of convolutions. J. Integral Eqns. Appl. 5, 519–530 (1993). (with W. Ruess)
  115. Solvability behaviour of linear evolutionary integral equations on the line. Proc. Third Int. Workshop on Evolution Equations, Han-sur-Lesse 1991. Lect. Notes Pure Applied Math. 155, 485–513, Marcel Dekker, New York 1993.
  116. Stability of linear evolutionary systems in viscoelasticity. Proc. Conf. Differential Equations in Banach Spaces, Bologna 1991. Lect. Notes Pure Applied Math. 148, 195–214, Marcel Dekker, New York 1993.
  117. Counterexamples for abstract linear Volterra equations. J. Integral Eqns. Appl. 5, 29–45 (1993) (with W. Desch)
  118. Imaginary powers of second order elliptic differential operators in Lp-spaces. Hiroshima Math. J. 23, 161–192 (1993) (with H. Sohr)
  119. Global existence for a semilinear parabolic Volterra equation. Math. Zeitschrift 209, 17–26 (1992) (with Ph. Clément)
  120. Vector-valued Tauberian theorems and asymptotic behavior of linear Volterra equations. SIAM J. Math. Anal. 23, 412–448 (1992) (with W. Arendt)
  121. Quasilinear parabolic Volterra equations in spaces of integrable functions. Proc. Conf. Trends in Semigroup Theory and Evolution Equations, Delft 1989. Lect. Notes Pure Applied Math. 135, 401–420, Marcel Dekker, New York 1991.
  122. Maximal regularity of vector-valued linear parabolic Volterra equations. J. Integral Eqns. Appl. 3, 63–83 (1991)
  123. Completely positive measures and Feller semigroups. Math. Annalen 287, 73–105 (1990) (with Ph. Clément)
  124. On operators with bounded imaginary powers. Math. Zeitschrift 203, 429–452 (1990) (with H. Sohr)
  125. Linear hyperbolic Volterra equations of scalar type. Proc. Conf. Trends in Semigroup Theory and Applications, Trieste 1987. Lect. Notes Pure Applied Math. 116, 367–385, Marcel Dekker, New York 1989.
  126. Regularity and integrability of resolvents of linear Volterra equations in Banach spaces. Proc. Conf. Volterra Integrodifferential Equations in Banach Spaces and Applications, Trento 1987. Pitman Res. Notes in Math. 190, 339–367, Longman, Harlow, Essex 1989
  127. On second order differential equations in Hilbert spaces. Boll. Unione Mat. Ital. (7) 3-B, 623–638 (1989) (with Ph. Clément)
  128. On bounded solutions of Volterra equations. SIAM J. Math. Anal. 19, 133–149 (1988)
  129. Positivity and regularity of hyperbolic Volterra equations in Banach spaces. Math. Annalen 279, 317–344 (1987)
  130. On Volterra equations of parabolic type in Banach spaces. Trans. Amer. Math. Soc. 301, 691–721 (1987)
  131. A positivity method for linear Volterra equations in Banach spaces. Proc. VII. Int. Conf. Nonlinear Analysis and Applications, Arlington, Texas 1986. Lect. Notes Pure Applied Math. 109, 483–489, Marcel Dekker, New York 1987.
  132. On periodic solutions of the thermostat problem. Proc. Conf. Differential Equations in Banach Spaces, Bologna 1985 Lect. Notes Math. 1223, 216–226, Springer Verlag, Heidelberg 1987
  133. Fixed points of weakly inward multivalued maps. Nonlin. Analysis TMA 10, 465–469 (1986) (with H.S. Chuan, K. Deimling)
  134. On linear Volterra equations in Banach spaces. Comp. Math. Appls. 11, 189–205 (1985) (with R. Grimmer)
  135. On the spectrum of C_0-semigroups. Trans. Amer. Math. Soc. 284, 847–857 (1984)
  136. On resolvent operators for linear integrodifferential equations of Volterra type. J. Integral Eqns. 5, 211–236 (1983)
  137. Stability analysis for equilibria in age-specific population dynamics. Nonlin. Analysis TMA 7, 1291–1313 (1983)
  138. On the qualitative behaviour of populations with age-specific interactions. Comp. Math. Appls. 9, 327–339 (1983)
  139. Equilibrium solutions of age-specific population dynamics of several species. J. Math. Biology 11, 65–84 (1981)
  140. A characterization of uniform convexity and applications to accretive operators. Hiroshima Math. J. 11, 229–234 (1981)
  141. On semilinear parabolic evolution equations on closed sets. J. Math. Anal. Appl. 77, 513–538 (1980)
  142. A note on strict solutions to semilinear evolution equations. Math. Zeitschrift 171, 285–288 (1980)
  143. Periodic solutions of semilinear evolution equations. Nonlin. Analysis TMA 3, 601–612 (1979)
  144. On semilinear evolution equations in Banach spaces. J. Reine Angew. Math. 303/304, 144–154 (1978)

Scientific Articles
  1. Direct numerical simulation of mass transfer between rising gas bubbles and water. pp. 159-174 in Bubbly Flows: Analysis, Modelling and Calculation (M. Sommerfeld ed.), Heat and Mass Transfer, Springer 2004. ( with D. Bothe, M. Koebe, H.J.Warnecke, K. Wielage)
  2. Modelling and simulation of the desintegration process in ultrasonic standing wave atomizers. pp. 449-454 in Proc. 18th Annual Conf. Liquid Atomization and Spray Systems (A. Lozano ed.), ILASS-Europe 2002. ( with D. Bothe, O. Reipschläger, B. Monien, H.J. Warnecke, B. Weigand)
  3. The effect of non-Newtonian flow behaviour on binary droplet collisions: VOF-simulations and experimental analysis. Proc. 18th Annual Conf. Liquid Atomization and Spray Systems, 559-564, ILASS-Europe 2002. (with D. Bothe, M. Motzigemba, N. Roth, B.Weigand, H.J. Warnecke, K. Wielage)
  4. 3D-direct numerical simulation of air bubbles in water at high Reynolds numbers. Proc. 2002-ASME Joint U.S.-European Fluids Eng. Conf., Montreal, Canada, ASME 2002. (with D. Bothe, M. Koebe, H.J. Warnecke)
  5. Modellierung und Simulation zur Optimierung des Zerstäubungsprozesses im Ultraschall-Stehwellenfeld. Frontiers in Simulation, ASIM Fortschrittsberichte Simulation, eds. K. Panreck, F. D¨orrscheidt, SCS Publishing House Erlangen, 2001 (withD. Bothe, O. Reipschläger, B. Monien, H.C. Broecker, H.J. Warnecke, B. Weigand, K. Wielage)
  6. Instationary shrinking-core model for heterogeneous ionic reactions. Chem. Eng. Technol. 24, 809-814 (2001) (with D. Bothe, G. Koschut, H.J. Warnecke)
  7. Chemo-enzymatic epoxidation of unsaturated plant oils. Chem. Eng. Sci. (2000) (with D. Bothe, I. Hilker, H.J. Warnecke)
  8. A contribution to simulation of mixing in screw extruders employing commercial CFDsoftware. Proc. 10th European Conf. on Mixing, Delft, Elsevier 2000 (with H.C. Broecker, M. Motzigemba, H.J. Warnecke)
  9. Modeling of the suspension polymerization process using a particle population balance. Chem. Eng. Technol. 22, 609–616 (1999) (with Zhong Chen, W. Pauer, H.U. Moritz, H.J. Warnecke)
  10. A population balance model for disperse systems. Particle size distribution in suspension polymerization. Chin. J. Chem. Eng. 7, 332-344 (1999) (mit Zhong Chen, W. Pauer, H.U. Moritz, H.J. Warnecke)
  11. A concept to simulate an industrial size tube reactor with fast complex kinetics and absorbtion of two gases on the basis of CFD-modelling. Chem. Eng. Sci. 54, 2513–2519 (1999) (with M. Schäfer, H.J. Warnecke, M. Weidenbach)
  12. Modellierung und Validierung eines styrolabbauenden Biofilters. Chem. Ing. Technik 71, 619–624 (1999) (with H.J. Warnecke, O. Decreßin, K. Forell)
  13. Kontinuierliche Epoxidation von Soja¨ol: Prozessanalyse und Verfahrensentwicklung. Fett/Lipid 100, 404–411 (1998) (with H.J. Warnecke, M. Wiebe, J. Kümmel)
  14. A Population balance model for disperse systems. Part I: Drop size distribution in emulsions. Chem. Eng. Sci. 53, 1959–1066 (1998)(with H.J. Warnecke, Z. Chen, W. Pauer)
  15. Modelling reactive absorption processes via film-renewal theory: Numerical schemes and simulation results. Computers & Chem. Eng. 22 515–524 (1998) (with H.J. Warnecke, M. Brinkmann)
  16. Modelling and simulation of extraction of oligomer from granular polymer. The Chem. Eng. J. 68, 165–172 (1997) (with Z. Chen, D. Meier, H.J. Warnecke)
  17. Influence of hydrodynamics on modelling absorption processes with fast chemical reaction. Proc. 3rd Japanese/German Symp. Bubble Columns, Kyoto, Japan 1997 (with H.J. Warnecke, M. Schäfer)
  18. Formation of emulsions in a screw loop reactor. Chem. Eng. Technol. 20, 149–161 (1997) (with H.J. Warnecke, A. Ludwig)
  19. Modeling of mass transfer of volatile organic compounds in highly viscous media. The Chem. Eng. J. 67 45–53 (1997) (with H.J. Warnecke, D. Meier)
  20. Modellierung reaktiver Stoffaustauschprozesse. Chemie Ingenieur Technik 68, 239–253 (1996) (with H.J. Warnecke, M. Brinkmann)
  21. Cooling of extruder strands - experiments and modelling. Plastics, Rubber and Composites Processing and Application 23, 305–310 (1995)(with H. Güldener, J.G. Duffy, M. Weidenbach, H.J. Warnecke)
  22. Modellierung des Stoffaustausches von flüchtigen organischen Verbindungen in hochviskosen Medien. Chem. Ing. Technik. 5/95,570–577 (1995) (with H.J. Warnecke, W. Hbinger, R. Minges)
  23. Residence time distribution of a screw loop reactor: Experiments and modelling. Chem. Eng. Sci. 50, 299–308 (1995) (with H.J. Warnecke, Ch. Kersting)
  24. Ergodicity of multiserver queueing systems with various bandwidth allocation techniques. Australian Telecom. Res. 29, 13–23 (1995) (with R. Schlott)
  25. Chemical absorption of mercaptan in an aerosol operated loop reactor. Can. J. Chem. Eng. 72, 1000–1006 (1994) (with H.J. Warnecke, Ch. Kube)
  26. Influence of liquid viscosity on hydrodynamics and mass transfer in a g-l jet loop reactor. Proc. 3rd German-Japanese Symp. “Bubble Columns”, Schwerte, GVC, 141-146 (1994)(with M. Brinkmann, H.J. Warnecke)
  27. Zur Parameterbestimmung bei chemischen Prozessen. Chem. Ing. Technik 65, 914–920 (1993) (with H.J. Warnecke, T. Blume)
  28. The influence of recycling on mass transfer and reaction in a g-l jet loop reactor with variable interfacial area. Chem. Eng. Technol. 16, 58–61 (1993) (with H.J. Warnecke, G. Tamm, M. Brinkmann)
  29. An isoperibol calorimeter: A simple apparatus for monitoring polymerization reactions. Proc. Fourth Int. Workshop on Polymer Reaction Engineering, 341–349, Dechema 1992 (with H.U. Moritz, T. Stockhausen)
  30. Scale-up of airlift-loop bioreactors based on modelling the Oxygen mass transfer. Chem. Eng. Sci. 47, 2281–2286 (1992) (with H.J. Warnecke, M. Lindert, B. Kochbeck)
  31. Oxidation of organic air pollutions in an aerosol operated jet loop reactor. Proc. Fourth World Congress of Chemical Engineering, Karlsruhe 1991, Dechema 1992. (with H.J. Warnecke, P. Hußmann, Ch. Kube, F. Reineke)
  32. Modeling isobutene extraction from mixed C4-streams. Chem. Eng. Sci. 47, 533–541 (1992) (with H.J. Warnecke, B. Bienek, R.G. Presenti)
  33. Integration of wideband service in time division multiplex systems. Trans. IEEE 39, 256–268 (1991) (with R. Schlott, G. Mrozynski)
  34. Isobuten-Abtrennung: Experimente und Modellierung. In: Katalyse, Dechema-Monographien 118, 337–347 (1989) (with H.J. Warnecke)
  35. Gasphasedispersion in Gas-Flüssig Strahldüsen-Schlaufenreaktoren. Chemie Ingenieur Technik 61, (10) (1989)(with H.J. Warnecke, D. Vaupel, H. Langemann)
  36. A new model for isobutene separation from C4-cuts. Proc. Conf. Chemeca , Sydney 1988. Inst. Eng. Australia 88/16, 594–601 (1988)(with H.J. Warnecke)
  37. Absorption von Kohlendioxid in Wasser. Chemie Ingenieur Technik 60, 401–403 (1988) (with H.J. Warnecke, G. Tamm)
  38. Bestimmung von Dispersionskoeffizienten in Gas-Flüssig Strahldüsen-Schlaufenreaktoren. Chemie Ingenieur Technik 59, 496–499 (1987)(with H.J. Warnecke, M. Weidenbach, H. Langemann)
  39. On a mathematical model of loop reactors II. Chem. Eng. Sci. 40, 2327–2331 (1985) (with H.J. Warnecke, L. Leber, H. Langemann)
  40. On a mathematical model of loop reactors I. Chem. Eng. Sci. 40, 2321–2326 (1985) (with H.J. Warnecke, H. Langemann)

Jan Prüß - Professor of Mathematics
Author Citations

Jan W. Prüss is cited 3385 times by 1533 authors (source: MR Citation Database (Bielefeld, Germany) from December 6, 2017). The following list states the papers and books which have at least 30 citations each.
CitationsPublication
379R-boundedness, Fourier multipliers, and problems of elliptic and parabolic type. Memoirs Amer. Math. Soc. 166 no. 788 (2003) (with R. Denk, M. Hieber)
296Evolutionary Integral Equations and Applications. Monographs in Mathematics 87, Birkhäuser Verlag, Basel, 1993.
235On the spectrum of C_0-semigroups. Trans. Amer. Math. Soc. 284, 847–857 (1984)
215Evolutionary Integral Equations and Applications. Modern Birkhäuser Classics, Birkhäuser Verlag, Basel, 2012.
110Heat kernels and maximal Lp-Lq-estimates for parabolic evolution equations. Comm. Part. Diff. Eqns. 22, 1647–1669 (1997) (with M. Hieber)
91Optimal Lp-Lq-regularity for parabolic problems with inhomogeneous boundary data. Math.Z. 257, 193-224 (2007) (with R. Denk, M. Hieber)
83Maximal regularity for evolution equations in Lp-spaces. Conf. Sem. Mat. Univ. Bari 285, 1–39 (2003)
71On operators with bounded imaginary powers. Math. Zeitschrift 203, 429–452 (1990) (with H. Sohr)
66Convergence to steady states of solutions of the Cahn-Hilliard equation with dynamic boundary conditions. Math. Nachr. 279, 1448–1462 (2006) (with R. Chill, E. Fasangova)
64Lp-Theory of the Stokes equation in a half space. J. Evolution Eqns. 1, 115-142 (2001) (with W. Desch, M. Hieber)
61An operator-valued transference principle and maximal regularity on vector-valued Lp-spaces. Proc. 6th Int. Conf. on Evolution Equations, Marcel Dekker 2000 (with Ph. Clément)
60Analytic solutions for a Stefan problem with Gibbs-Thomson correction. J. Reine Angew. Math. 506, 1–52 (2003) (with J. Escher, G. Simonett)
55Polynomial stability of operator semigroups. Math. Nachr. 279, 1425–1440 (2006) (with A. Batkai, K.-J. Engel, R. Schnaubelt)
53New thoughts on old results of R.T.Seeley. Math. Ann. 328, 545–583 (2004) ( with R. Denk, G. Dore, M. Hieber, A. Venni)
51Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions. Annali di Matematica 185(4), 627–648 (2006) (with R. Racke, S. Zheng)
50Imaginary powers of second order elliptic differential operators in Lp-spaces. Hiroshima Math. J. 23, 161–192 (1993) (with H. Sohr)
48The domain of the Ornstein-Uhlenbeck operator on a Lp-space with invariant measure. Ann. Scuola Norm. Sup. Pisa Cl. Sci (5), Vol. I, 471-485 (2002) (with G. Metafune, A. Rhandi, R. Schnaubelt)
40Lp-regularity for elliptic operators with unbounded coefficients. Adv. Diff. Eqns. 10, 1131–1164 (2005) (with G. Metafune, A. Rhandi, R. Schnaubelt)
40Lp-theory for a class of non-Newtonian fluids. SIAM J. Math. Anal. 39, 379-421 (2007) (with D. Bothe)
37Global existence for a semilinear parabolic Volterra equation. Math. Zeitschrift 209, 17–26 (1992) (with Ph. Clément)
37On the two-phase Navier-Stokes equations with surface tension. Interfaces Free Bound. 12 (2010), no. 3, 311–345 (with G. Simonett)
36Maximal regularity for evolution equations in weighted Lp-spaces. Archiv Math. 82, 415–431 (2004) (with G. Simonett)
35Maximal regularity for abstract parabolic problems with inhomogeneous boundary data. Math. Bohemica 127, 311-317 (2002)
34Solvability and maximal regularity for parabolic evolution equations with coefficients continuous in time. J. Math. Anal. Appl. 256, 405–430 (2001) (with R. Schnaubelt)
30Functional calculi for linear operators in vector-valued Lp-spaces via the transference principle. Adv.Diff.Eqns. 3, 847–872 (1998) (with M. Hieber)
30On convergence to equilibria of solutions of quasilinear parabolic problems. J. Differential Equations 246 (2009), no. 10, 3902-3931 (with G. Simonett, R. Zacher)