Mathias Wilke
استاد · Nonlinear Partial Differential Equations
Martin Luther University Halle-Wittenbergمعرفی
Prof. Dr. Mathias Wilke is a Professor of Mathematics at Martin Luther University Halle-Wittenberg (MLU Halle), affiliated with the Institute of Mathematics within the Faculty of Natural Sciences II. His academic journey includes a Diploma (2004) and PhD (2007) from MLU Halle, followed by habilitation (2014). He has held visiting roles at Vanderbilt University (2010-2011) and guest professorships at Humboldt University Berlin (2014) and Hannover University (2015).
His research focuses on nonlinear partial differential equations, fluid dynamics on manifolds, phase transition modeling, and acoustic wave propagation. Key areas include Navier-Stokes equations on surfaces, free boundary problems, and stability analysis of solutions. Applications span mathematical fluid dynamics, Cahn-Hilliard-type phase transitions, and Maxwell-Stefan reaction-diffusion systems.
Publications include monographs on ordinary differential equations and over 30 peer-reviewed articles. Current work emphasizes well-posedness and qualitative behavior of multiphase flow systems and geometric fluid mechanics. The Institute of Mathematics serves as his primary research hub, with collaborations extending to international institutions.
Education:
- 2004: Diploma in Mathematics, MLU Halle
- 2007: PhD in Mathematics, MLU Halle (advisor: Jan Prüss)
- 2014: Habilitation, MLU Halle
Advising & Grants: No current students listed; research supported through institutional funding and collaborative grants.
Labs/Teams: Core member of the Institute of Mathematics research group, contributing to the Parabolic Evolution Equations and Free Boundary Problems initiatives.
