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

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2022
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https://doi.org/10.1016/j.jde.2022.04.008
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Journal of Differential Equations. Elsevier. 2022, 325, pp. 70-81. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2022.04.008
Zusammenfassung

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.

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ISO 690FREISTÜHLER, 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. 2022, 325, pp. 70-81. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2022.04.008
BibTex
@article{Freistuhler2022Unifo-57710,
  year={2022},
  doi={10.1016/j.jde.2022.04.008},
  title={Uniform dissipativity for mixed-order hyperbolic systems, with an application to relativistic fluid dynamics},
  volume={325},
  issn={0022-0396},
  journal={Journal of Differential Equations},
  pages={70--81},
  author={Freistühler, Heinrich and Reintjes, Moritz and Sroczinski, Matthias}
}
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