Research Interests:

• Nonlinear hyperbolic partial differential equations (systems,shock waves, stability, long-time existence)
• Fluid dynamics (incompressible fluids, relativistic fluids with viscosity)
• Fluid-structure interaction (Interactions between viscous fluids and elastic solids, uniqueness)

Publications

Paper:

1. Global existence and decay of small solutions for quasi-linear second-order uniformly dissipative hyperbolic-hyperbolic systems, J. Differential Equations 383, 130-162 (2024) Preprint
2. With Heinrich Freistühler and Moritz Reintjes: Uniform dissipativity for mixed-order hyperbolic systems, with an application to relativistic fluid dynamics, J. Differential Equations 325, 70-81, (2022)
3. With Sebastian Schwarzacher: Weak-strong uniqueness for an elastic plate interacting with the Navier Stokes equation, SIAM J. Math. Anal. 54, 4104-4138 (2022) Preprint
4. With Heinrich Freistühler: A class of uniformly dissipative symmetric hyperbolic-hyperbolic systems, J. Differ. Equations 288, 40-61 (2021).
5. Asymptotic stability in a second-order symmetric hyperbolic system modeling the relativistic dynamics of viscous heat-conductive fluids with diffusion. J. Differ. Equations 268, 825-851 (2020). Preprint
6. Asymptotic stability of homogeneous states in the relativistic dynamics of viscous, heat-conductive fluids. Arch. Rational Mech. Anal. 231 (1), 91-113 (2019). Preprint

PhD Thesis:

1. Global existence and asymptotic decay for quasilinear second-order symmetric hyperbolic systems of partial differential equations occuring in the relativistic dynamics of dissipative fluids. PhD Thesis, University of Konstanz, (2019) [PDF],
   Supervisor: Prof. Dr. Heinrich Freistühler.

Master Thesis:

1. Hilbertraumwertige Superlösungen stochastischer Rückwärts-Differentialgleichungen, Masterarbeit an der Universität Konstanz [PDF],
   Supervisors: Prof. Dr. Robert Denk and Prof. Dr. Michael Kupper .
   

Home
Teaching