Publikation: Asymptotic Stability of Homogeneous States in the Relativistic Dynamics of Viscous, Heat-Conductive Fluids
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2019
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Archive for Rational Mechanics and Analysis. 2019, 231(1), pp. 91-113. ISSN 0003-9527. eISSN 1432-0673. Available under: doi: 10.1007/s00205-018-1274-9
Zusammenfassung
This paper shows global-in-time existence and asymptotic decay of small solutions to the Navier–Stokes–Fourier equations for a class of viscous, heat-conductive relativistic fluids. As this second-order system is symmetric hyperbolic, existence and uniqueness on a short time interval follow from the work of Hughes, Kato and Marsden. In this paper it is proven that solutions which are close to a homogeneous reference state can be extended globally and decay to the reference state. The proof combines decay results for the linearization with refined Kawashima-type estimates of the nonlinear terms.
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510 Mathematik
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SROCZINSKI, Matthias, 2019. Asymptotic Stability of Homogeneous States in the Relativistic Dynamics of Viscous, Heat-Conductive Fluids. In: Archive for Rational Mechanics and Analysis. 2019, 231(1), pp. 91-113. ISSN 0003-9527. eISSN 1432-0673. Available under: doi: 10.1007/s00205-018-1274-9BibTex
@article{Sroczinski2019Asymp-39488.2,
year={2019},
doi={10.1007/s00205-018-1274-9},
title={Asymptotic Stability of Homogeneous States in the Relativistic Dynamics of Viscous, Heat-Conductive Fluids},
number={1},
volume={231},
issn={0003-9527},
journal={Archive for Rational Mechanics and Analysis},
pages={91--113},
author={Sroczinski, Matthias}
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