Asymptotic Stability of Homogeneous States in the Relativistic Dynamics of Viscous, Heat-Conductive Fluids
| Type of Publication: | Journal article |
| Publication status: | Published |
| Author: | Sroczinski, Matthias |
| Year of publication: | 2019 |
| Published in: | Archive for Rational Mechanics and Analysis ; 231 (2019), 1. - pp. 91-113. - ISSN 0003-9527. - eISSN 1432-0673 |
| DOI (citable link): | https://dx.doi.org/10.1007/s00205-018-1274-9 |
| Summary: |
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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| Subject (DDC): | 510 Mathematics |
| Bibliography of Konstanz: | Yes |
| Refereed: | Unknown |
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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. 231(1), pp. 91-113. ISSN 0003-9527. eISSN 1432-0673. Available under: doi: 10.1007/s00205-018-1274-9
@article{Sroczinski2019Asymp-39488.2, title={Asymptotic Stability of Homogeneous States in the Relativistic Dynamics of Viscous, Heat-Conductive Fluids}, year={2019}, doi={10.1007/s00205-018-1274-9}, number={1}, volume={231}, issn={0003-9527}, journal={Archive for Rational Mechanics and Analysis}, pages={91--113}, author={Sroczinski, Matthias} }
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