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Global existence and asymptotic decay for small solutions of general quasilinear hyperbolic balance laws
Matthias Sroczinski
This paper establishes global existence and asymptotic decay for small solutions to quasilinear systems of hyperbolic balance laws, where, generalizing previous works, the hyperbol…
Nonlinear Stability of First-Order Relativistic Viscous Hydrodynamics
Heinrich Freistuhler, Matthias Sroczinski
This paper shows nonlinear stability of homogeneous states in second-order hyperbolic systems of partial differential equations that model the dynamics of dissipative relativistic…
Global existence and decay of small solutions for quasi-linear second-order uniformly dissipative hyperbolic-hyperbolic systems
Matthias Sroczinski
This paper is concerned with quasilinear systems of partial differential equations consisting of two hyperbolic operators interacting dissipatively. Its main theorem establishes gl…
Weak-strong uniqueness for an elastic plate interacting with the Navier Stokes equation
Sebastian Schwarzacher, Matthias Sroczinski
We show weak-strong uniqueness and stability results for the motion of a two or three dimensional fluid governed by the Navier-Stokes equation interacting with a flexible, elastic…