The 3D non-isentropic compressible Euler equations with damping in a bounded domain

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• 作者：Yinghui Zhang ; Guochun Wu
• 关键词：Non ; isentropic ; Euler equations ; Damping ; Exponential convergence
• 刊名：Chinese Annals of Mathematics - Series B
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：37
• 期：6
• 页码：915-928
• 全文大小：223 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Applications of Mathematics
  Chinese Library of Science
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1860-6261
• 卷排序：37

文摘

The authors investigate the global existence and asymptotic behavior of classical solutions to the 3D non-isentropic compressible Euler equations with damping on a bounded domain with slip boundary condition. The global existence and uniqueness of classical solutions are obtained when the initial data are near an equilibrium. Furthermore, the exponential convergence rates of the pressure and velocity are also proved by delicate energy methods.