English

Remarks on Ruggeri's First Model of Dissipative Fluid Dynamics as a Symmetric Hyperbolic System

Analysis of PDEs 2021-12-09 v1 Mathematical Physics math.MP

Abstract

This note establishes properties of a model of dissipative fluid dynamics as a symmetric hyperbolic system by which Ruggeri once triggered the development of Rational Extended Thermodynamics. These properties, i.e., (1) convergence of solutions to those of the Navier-Stokes-Fourier equations and (2) nonlinear asymptotic stability of homogeneous reference solutions, also hold in the analogous situation for barotropic fluids.

Keywords

Cite

@article{arxiv.2112.04133,
  title  = {Remarks on Ruggeri's First Model of Dissipative Fluid Dynamics as a Symmetric Hyperbolic System},
  author = {Heinrich Freistuhler},
  journal= {arXiv preprint arXiv:2112.04133},
  year   = {2021}
}