On temporal asymptotics for the p'th power viscous reacitve gas
Marta Lewicka and Piotr B. Mucha
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Submission date: 29. Aug. 2002
published in: Nonlinear analysis / A, 57 (2004) 7/8, p. 951-969
DOI number (of the published article): 10.1016/j.na.2003.12.001
MSC-Numbers: 76N10, 35B40, 35Q35
Keywords and phrases: viscous reactive gas, p'th power gas, temporal asymptotics
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In this paper we investigate the long time behaviour of solutions to the system governing a heat-conductive, viscous reactive p'th 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.