The Cauchy problem for compressible Navier–Stokes equations with shear viscosity and large data

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• 作者：Qingyang Zou ; Hao Lei
• 关键词：35D30 ; 35Q35 ; 35D35 ; 76D05 ; 76N10 ; Compressible Navier–Stokes equations ; Shear viscosity ; Viscous coefficients ; Heat ; conducting coefficient
• 刊名：Zeitschrift f篓鹿r angewandte Mathematik und Physik
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：66
• 期：5
• 页码：2305-2341
• 全文大小：805 KB
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• 作者单位：Qingyang Zou (1)
  Hao Lei (2)
  
  1. College of Science, Wuhan University of Science and Technology, Wuhan, 430081, China
  2. School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China
  
• 刊物主题：Theoretical and Applied Mechanics; Mathematical Methods in Physics;
• 出版者：Springer Basel
• ISSN：1420-9039

文摘

In this paper, we establish the existence of global-in-time smooth solutions to the compressible Navier–Stokes system for a viscous and heat-conducting ideal polytropical gas with shear viscosity and large data. Here, the viscosity coefficients can be degenerate functions on density, and the heat-conductive coefficient can also be a degenerate function on both density and temperature. Keywords Compressible Navier–Stokes equations Shear viscosity Viscous coefficients Heat-conducting coefficient