Uniform dissipativity for mixed-order hyperbolic systems, with an application to relativistic fluid dynamics
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
Author(s)
Detail(s)
Original language | English |
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Pages (from-to) | 70-81 |
Journal / Publication | Journal of Differential Equations |
Volume | 325 |
Online published | 13 Apr 2022 |
Publication status | Published - 15 Jul 2022 |
Externally published | Yes |
Link(s)
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.
Citation Format(s)
Uniform dissipativity for mixed-order hyperbolic systems, with an application to relativistic fluid dynamics. / Freistühler, Heinrich; Reintjes, Moritz; Sroczinski, Matthias.
In: Journal of Differential Equations, Vol. 325, 15.07.2022, p. 70-81.
In: Journal of Differential Equations, Vol. 325, 15.07.2022, p. 70-81.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review