Compressible Navier–Stokes Equations with Revised Maxwell’s Law

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• 作者：Yuxi Hu ; Reinhard Racke
• 关键词：Mathematics Subject Classification35B25 ; 76N10
• 刊名：Journal of Mathematical Fluid Mechanics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：19
• 期：1
• 页码：77-90
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Fluid- and Aerodynamics; Mathematical Methods in Physics; Classical and Continuum Physics;
• 出版者：Springer International Publishing
• ISSN：1422-6952
• 卷排序：19

文摘

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.