Type of Publication: | Journal article |
Publication status: | Published |
Author: | Hu, Yuxi; Racke, Reinhard |
Year of publication: | 2020 |
Published in: | Journal of Differential Equations ; 269 (2020), 4. - pp. 3196-3220. - Elsevier. - ISSN 0022-0396. - eISSN 1090-2732 |
DOI (citable link): | https://dx.doi.org/10.1016/j.jde.2020.02.025 |
Summary: |
We consider the non-isentropic compressible Navier-Stokes equations with hyperbolic heat conduction and a law for the stress tensor which is modified correspondingly by Maxwell's law. These two relaxations, turning the whole system into a hyperbolic one, are not only treated simultaneously, but are also considered in a version having Galilean invariance. For this more complicated relaxed system, the global well-posedness is proved for small data. Moreover, for vanishing relaxation parameters the solutions are shown to converge to solutions of the classical system.
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Subject (DDC): | 510 Mathematics |
Bibliography of Konstanz: | Yes |
Refereed: | Yes |
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HU, Yuxi, Reinhard RACKE, 2020. Hyperbolic compressible Navier-Stokes equations. In: Journal of Differential Equations. Elsevier. 269(4), pp. 3196-3220. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2020.02.025
@article{Hu2020Hyper-47267.2, title={Hyperbolic compressible Navier-Stokes equations}, year={2020}, doi={10.1016/j.jde.2020.02.025}, number={4}, volume={269}, issn={0022-0396}, journal={Journal of Differential Equations}, pages={3196--3220}, author={Hu, Yuxi and Racke, Reinhard} }
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