Mathematik und Statistik
Universit├Ąt Konstanz
> Matthias Sroczinski> Research

Research Interests:



  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 .