Nonlinear Stability of First-Order Relativistic Viscous Hydrodynamics

Fuente: arXiv
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Autori principali: Freistuhler, Heinrich, Sroczinski, Matthias
Natura: Preprint
Pubblicazione: 2024
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author Freistuhler, Heinrich
Sroczinski, Matthias
author_facet Freistuhler, Heinrich
Sroczinski, Matthias
contents 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).
format Preprint
id arxiv_https___arxiv_org_abs_2406_00673
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Nonlinear Stability of First-Order Relativistic Viscous Hydrodynamics
Freistuhler, Heinrich
Sroczinski, Matthias
Analysis of PDEs
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).
title Nonlinear Stability of First-Order Relativistic Viscous Hydrodynamics
topic Analysis of PDEs
url https://arxiv.org/abs/2406.00673