Mathias Wilke
Kontakt
Prof. Dr. Mathias Wilke
Raum 1.34.0
Georg-Cantor-Haus
Theodor-Lieser-Str. 5
06120 Halle (Saale)
Telefon: +49-345-55-24645
Telefax: +49-345-55-27001
mathias.wilke@mathematik.uni-halle.de
Postanschrift:
Martin-Luther-Universität Halle-Wittenberg
06099 Halle (Saale)
Publications
- Monographs
- Gewöhnliche Differentialgleichungen und dynamische Systeme , Grundstudium Mathematik, Birkhäuser Verlag, Basel, 2010. xiv+320 pp. ISBN: 978-3-0348-0001-3 (with J. Prüss).
- Gewöhnliche Differentialgleichungen und dynamische Systeme, 2nd, revised and extended edition , Grundstudium Mathematik, Birkhäuser Verlag, Basel, 2019. xvii+432 pp. ISBN: 978-3-030-12361-1 (with J. Prüss).
- Complete List
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
- Free boundary problems, two-phase problems, contact angle problems
- Applications:
- Mathematical fluid dynamics (e.g. incompressible Navier-Stokes on manifolds)
- Phase transitions (e.g. Stefan problems, Cahn-Hilliard type equations)
- Reaction-Diffusion systems (e.g. of Maxwell-Stefan type)
- Propagation of acoustic waves (e.g. Westervelt equation, Kuznetsov equation)