Address: 

PD Dr. habil. Mathias Wilke
Martin-Luther-Universität Halle-Wittenberg
Naturwissenschaftliche Fakultät II
Institut für Mathematik
06099 Halle (Saale)

Email: mathias.wilke(at)mathematik.uni-halle.de
Office:
Theodor-Lieser-Str. 5, Office: 1.34.0
Phone:
+49 - 345 - 55 24645


Research interests:

Publications:

Monograph:

    Gewöhnliche Differentialgleichungen und dynamische Systeme,
    
Grundstudium Mathematik, Birkhäuser Verlag, Basel, 2010. xiv+320 pp. ISBN: 978-3-0348-0001-3 (with J. Prüss).

Articles (all peer-reviewed):

  1. Maximal Lp - Regularity and Long - Time Behaviour of the Non-Isothermal Cahn-Hilliard Equation with Dynamic Boundary Conditions,
    Operator Theory: Advances and Applications 168,  209-236, Birkhäuser, Basel, 2006 (with J. Prüss).

  2. Convergence to Equilibrium for the Cahn-Hilliard Equation with a Logarithmic Free Energy,
    Nonlinear Anal
    ysis TMA 67, 3176-3193, 2007, (pdf-file of preprint-version), (with H. Abels).

  3. An Analysis of Asian Options,
    Functional Analysis and Evolution Equations,
    547-559, Birkhäuser,
     Basel, 2007 (with S. Sperlich, J. Prüss). 

  4. Fractional white noise perturbations of parabolic Volterra equations,
    Journal of Applied Analysis 16, 31-48, 2010 (with S. Sperlich).

  5. On quasilinear parabolic evolution equations in weighted Lp spaces,
    Journal of Evolution Equations 10,
    443-463, 2010 (Link to preprint version), (with M. Köhne, J. Prüss).

  6. On Conserved Penrose-Fife type Models,
    Progress in Nonlinear Differential Equations and Their Applications 80, 541-576, 2011, (Link to preprint version), (with J. Prüss). 

  7. Optimal regularity and long-time behavior of solutions for the Westervelt equation,
    Applied Mathematics and Optimization 64, 257-271, 2011, (Link to preprint version), (with St. Meyer).

  8. Lp-theory for a Cahn-Hilliard-Gurtin system,
    Evolution Equations and Control Theory 1, 393-429, 2012, (Link to preprint version).

  9. Invariant foliations near normally hyperbolic equilibria for quasilinear parabolic problems,
    Advanced Nonlinear Studies 13, 231-244, 2013, (Link to preprint version), (with J. Prüß, G. Simonett).

  10. Global well-posedness and exponential stability for Kuznetsov's equation in Lp-spaces,
    Evolution Equations and Control Theory 2, 365-378, 2013, (Link to preprint version), (with St. Meyer).

  11. Qualitative Behaviour of Solutions for the Two-Phase Navier-Stokes Equations with Surface Tension,
    Mathematische Annalen 356, 737-792, 2013, (Link to preprint version), (with M. Köhne, J. Prüss).

  12. Maximal regularity and global existence of solutions to a quasilinear thermoelastic plate system,
    Discrete and Continuous Dynamical Systems A, 33, 5189 - 5202, 2013, (Link to preprint version), (with I. Lasiecka).

  13. Well-Posedness and Qualitative Behaviour of Solutions for the Two-Phase Navier-Stokes-Mullins-Sekerka Equations,
    Interfaces and Free Boundaries 15, 39-75, 2013, (Link to preprint version), (with H. Abels).
     

  14. Qualitative behaviour of incompressible two-phase flows with phase transitions: The case of non-equal densities,
    Communications in Partial Differential Equations
    39,
    1236–1283, 2014, (Link to preprint version), (with J. Prüss, S Shimizu).

  15. On quasilinear parabolic evolution equations in weighted Lp-spaces II,
    Journal of Evolution Equations 14,
    509–533, 2014, (Link to preprint version), (with J. LeCrone, J. Prüss).
  16. On thermodynamically consistent Stefan problems with variable surface energy,
    Archive for Rational Mechanics and Analysis 202, 603-638, 2016 (Link to preprint version), (with J. Prüss, G. Simonett).

  17. On incompressible two-phase flows with phase transitions and variable surface tension,
    Recent Developments of Mathematical Fluid Mechanics, 411-442, Birkhäuser, Basel, 2016, (Link to preprint version), (with J. Prüss, S. Shimizu, G. Simonett).

  18. Well-posedness and long-time behaviour for the Westervelt equation with absorbing boundary conditions of order zero,
    Journal of Evolution Equations 17, 551-571, 2017 (Link to preprint version), (with G. Simonett).

  19. Reaction-diffusion systems of Maxwell-Stefan type with reversible mass-action kinetics,
    Nonlinear Analysis TMA 159, 264-284, 2017 (Link to preprint version), (with M. Herberg, M. Meyries, J. Prüss).

  20. Stability of Equilibrium Shapes in Some Free Boundary Problems Involving Fluids,
    Handbook of Mathematical Analysis of Viscous Fluids, 2017, Article (Link to preprint version), (with G. Simonett).

  21. Addendum to the paper “On quasilinear parabolic evolution equations in weighted -spaces II”,

    Journal of Evolution Equations 17, 1381-1388, 2017, Article (Link to preprint version), (with J. Prüss).

  22. On critical spaces for the Navier-Stokes equations,
    Journal of Mathematical Fluid Mechanics 20, 733-755, 2018,
    Article (Link to preprint version), (with J. Prüss).

  23. Critical spaces for quasilinear parabolic evolution equations and applications,
    Journal of Differential Equations 264, 2028-2074, 2018,
    Article (Link to preprint version), (with J. Prüss, G. Simonett)


Preprints:

  1. Rayleigh-Taylor instability for the two-phase Navier-Stokes equations with surface tension in cylindrical domains,
    submitted for publication, 2017 (Link to preprint version).

  2. The Rayleigh-Taylor instability for the Verigin problem with and without phase transition,
    submitted for publication, 2018 (Link to preprint version).

A short curriculum vitae

 

1999-2004

Study of mathematics and physics at the University of Halle, Germany

 

September 2004

Diploma (master) in mathematics, University of Halle, Germany

 

2004 - 2007

Ph.D student & Research assistant, University of Halle, Germany

  November 2007 Defense of the Ph.D. thesis, University of Halle, Germany
  Dec. 2007 - March 2015 Postdoc, Lecturer & Research assistant, University of Halle, Germany
  Aug. 2010 - July 2011 Visiting Assistant Professor, Vanderbilt University, Nashville, TN, USA (on leave in Halle)
  January 2014
Habilitation, University of Halle, Germany

April 2014 - Sept. 2014 Substitute Professor "Applied Analysis", Humboldt University, Berlin, Germany (on leave in Halle)

April 2015 - Sept. 2015 Substitute Professor "Scientific Computing", Leibniz University Hanover, Germany

Oct. 2015 - March 2018 Akademischer Rat, University of Regensburg, Germany

April 2017 - Sept. 2017 Substitute Professor, University of Halle, Germany (on leave in Regensburg)

since April 2018 Lecturer & Research assistant, University of Halle, Germany


Last modified:  August 30, 2018
© Mathias Wilke