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On temporal asymptotics for the \(p\)th power viscous reactive gas. (English) Zbl 1094.76052
Summary: 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.

MSC:
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76V05 Reaction effects in flows
35Q35 PDEs in connection with fluid mechanics
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