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arXiv · 2406.00673

Nonlinear Stability of First-Order Relativistic Viscous Hydrodynamics

Heinrich Freistuhler·Matthias Sroczinski
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Abstract

This paper shows nonlinear stability of homogeneous states in second-order hyperbolic systems of partial differential equations that model the dynamics of dissipative relativistic fluids, by checking a dissipativity criterion formulated earlier by the authors and invoking a recent general result by the second author on long-time existence and time-asymptotic stability of small-data solutions to nonlinear hyperbolic systems. Version 3 differs from version 2 by a trivial correction (minus signs in front of six coefficients).

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Heinrich Freistuhler, Matthias Sroczinski. 2024-06-02. Nonlinear Stability of First-Order Relativistic Viscous Hydrodynamics. https://arxiv.org/abs/2406.00673

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