Publikation: Compressible Navier-Stokes equations with revised Maxwell's law
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2017
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Hu, Yuxi
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Journal of Mathematical Fluid Mechanics. 2017, 19(1), pp. 77-90. ISSN 1422-6928. eISSN 1422-6952. Available under: doi: 10.1007/s00021-016-0266-5
Zusammenfassung
We investigate the compressible Navier-Stokes equations where the constitutive law for the stress tensor given by Maxwell's law is revised to a system of relaxation equations for two parts of the tensor. The global well-posedness is proved as well as the compatibility with the classical compressible Navier-Stokes system in the sense that, for vanishing relaxation parameters, the solutions to the Maxwell system are shown to converge to solutions of the classical system.
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Fachgebiet (DDC)
510 Mathematik
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compressible Navier–Stokes, Maxwell fluid, global existence, singular limit
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HU, Yuxi, Reinhard RACKE, 2017. Compressible Navier-Stokes equations with revised Maxwell's law. In: Journal of Mathematical Fluid Mechanics. 2017, 19(1), pp. 77-90. ISSN 1422-6928. eISSN 1422-6952. Available under: doi: 10.1007/s00021-016-0266-5BibTex
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year={2017},
doi={10.1007/s00021-016-0266-5},
title={Compressible Navier-Stokes equations with revised Maxwell's law},
number={1},
volume={19},
issn={1422-6928},
journal={Journal of Mathematical Fluid Mechanics},
pages={77--90},
author={Hu, Yuxi and Racke, Reinhard}
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<dcterms:abstract xml:lang="eng">We investigate the compressible Navier-Stokes equations where the constitutive law for the stress tensor given by Maxwell's law is revised to a system of relaxation equations for two parts of the tensor. The global well-posedness is proved as well as the compatibility with the classical compressible Navier-Stokes system in the sense that, for vanishing relaxation parameters, the solutions to the Maxwell system are shown to converge to solutions of the classical system.</dcterms:abstract>
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