Nonlinear Stability of First-Order Relativistic Viscous Hydrodynamics
Analysis of PDEs
2025-04-25 v3
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).
Keywords
Cite
@article{arxiv.2406.00673,
title = {Nonlinear Stability of First-Order Relativistic Viscous Hydrodynamics},
author = {Heinrich Freistuhler and Matthias Sroczinski},
journal= {arXiv preprint arXiv:2406.00673},
year = {2025}
}