Address:
PD Dr. habil. Mathias Wilke
Martin-Luther-Universität Halle-Wittenberg
Naturwissenschaftliche Fakultät II
Institut für Mathematik
06099 Halle (Saale)
Research interests:
Systems of nonlinear partial
differential equations, nonlinear evolution equations,
dynamical systems
Well-posedness, qualitative
behaviour of solutions, stability properties, (optimal)
regularity of solutions
Applications:
Publications:
Monographs:
Articles (all peer-reviewed):
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).
Convergence to Equilibrium for
the Cahn-Hilliard Equation with a Logarithmic Free Energy,
Nonlinear Analysis TMA 67,
3176-3193, 2007, (pdf-file
of preprint-version), (with H. Abels).
An Analysis of Asian
Options,
Functional Analysis and Evolution Equations, 547-559,
Birkhäuser, Basel, 2007 (with
S. Sperlich, J. Prüss).
Fractional white noise
perturbations of parabolic Volterra equations,
Journal of Applied Analysis 16, 31-48,
2010 (with S. Sperlich).
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).
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).
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).
Lp-theory for a
Cahn-Hilliard-Gurtin system,
Evolution Equations and Control Theory 1,
393-429, 2012, (Link to
preprint version).
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
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).
Preprints:
A short curriculum vitae
|
1999-2004 |
Study of mathematics and physics at the Martin-Luther-University Halle-Wittenberg, Germany |
|
September 2004 |
Diploma (master) in mathematics, Martin-Luther-University Halle-Wittenberg, Germany |
|
2004 - 2007 |
Ph.D student & Research assistant, Martin-Luther-University Halle-Wittenberg, Germany |
November 2007 | Defense of the Ph.D. thesis, Martin-Luther-University Halle-Wittenberg, Germany | |
Dec. 2007 - March 2015 | Postdoc, Martin-Luther-University Halle-Wittenberg, Germany | |
Aug. 2010 - July 2011 | Visiting Assistant Professor,
Vanderbilt University, Nashville, TN, USA (on leave in
Halle) |
|
January 2014 |
Habilitation, Martin-Luther-University Halle-Wittenberg, Germany | |
April 2014 - Sept. 2014 | Substitute Professor, Humboldt University, Berlin, Germany (on leave in Halle) | |
April 2015 - Sept. 2015 | Substitute Professor, Leibniz University Hanover, Germany | |
Oct. 2015 - March 2018 | University of Regensburg, Germany | |
April 2017 - Sept. 2017 | Substitute Professor, Martin-Luther-University Halle-Wittenberg, Germany (on leave in Regensburg) | |
since April 2018 | Martin-Luther-University Halle-Wittenberg, Germany |
Last modified: May 3, 2022
© Mathias Wilke