Hyperbolic compressible Navier-Stokes equations
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2020
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Hu, Yuxi
Racke, Reinhard
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Journal of Differential Equations. Elsevier. 2020, 269(4), pp. 3196-3220. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2020.02.025
Zusammenfassung
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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510 Mathematik
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HU, Yuxi, Reinhard RACKE, 2020. Hyperbolic compressible Navier-Stokes equations. In: Journal of Differential Equations. Elsevier. 2020, 269(4), pp. 3196-3220. ISSN 0022-0396. eISSN 1090-2732. Available under: doi: 10.1016/j.jde.2020.02.025BibTex
@article{Hu2020Hyper-47267.2, year={2020}, doi={10.1016/j.jde.2020.02.025}, title={Hyperbolic compressible Navier-Stokes equations}, 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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