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

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

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FREISTÜHLER, Heinrich, Moritz REINTJES, Matthias SROCZINSKI, 2022. Uniform dissipativity for mixed-order hyperbolic systems, with an application to relativistic fluid dynamics. In: Journal of Differential Equations. Elsevier. 325, pp. 70-81. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2022.04.008

@article{Freistuhler2022Unifo-57710, title={Uniform dissipativity for mixed-order hyperbolic systems, with an application to relativistic fluid dynamics}, year={2022}, doi={10.1016/j.jde.2022.04.008}, volume={325}, issn={0022-0396}, journal={Journal of Differential Equations}, pages={70--81}, author={Freistühler, Heinrich and Reintjes, Moritz and Sroczinski, Matthias} }

Freistühler, Heinrich Reintjes, Moritz Uniform dissipativity for mixed-order hyperbolic systems, with an application to relativistic fluid dynamics Reintjes, Moritz 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 L<sup>2</sup> based Sobolev spaces. 2022-06-01T07:05:31Z Sroczinski, Matthias Sroczinski, Matthias 2022 2022-06-01T07:05:31Z Freistühler, Heinrich eng

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