On temporal asymptotics for the pth power viscous reactive gas

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• 作者：Lewicka ; Marta ; Mucha ; Piotr B.
• 关键词：76N10 ; 35B40 ; 35Q35 ; Viscous reactive gas ; pth power gas ; Temporal asymptotics
• 刊名：Nonlinear Analysis
• 出版年：2004
• 期刊代码：43_0362546x
• 类别：mt
• 出版时间：June, 2004
• 卷：57
• 期：7-8
• 页码：951-969
• 文件大小：292 K

摘要

In this paper, we investigate the long time behaviour of solutions to the system governing a heat-conductive, viscous reactive pth power gas confined between two parallel plates. For initial-boundary value problems with the end-points held at a prescribed temperature or insulated, we prove the global existence of physically relevant solutions, and establish their rate of convergence to equilibria, for generic initial data. The estimates for different boundary conditions are presented in a unified manner.