Uniform dissipativity for mixed-order hyperbolic systems, with an application to relativistic fluid dynamics

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

2 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)70-81
Journal / PublicationJournal of Differential Equations
Volume325
Online published13 Apr 2022
Publication statusPublished - 15 Jul 2022
Externally publishedYes

Abstract

This paper extends a characterization of uniform dissipativity given in a previous publication by two of the authors for second-order hyperbolic systems to an equally natural class of hyperbolic systems of mixed order. These systems are finite-speed-of-propagation counterparts of symmetric hyperbolic-parabolic systems, and the characterizing condition obtained plays a role analogous to the Kawashima condition, inducing decay rates for all Fourier modes in a way that gives – at least for linear constant-coefficients problems, to which this paper restricts attention – uniform decay of solutions in L2 based Sobolev spaces.