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MiS Preprint

On temporal asymptotics for the p'th power viscous reacitve gas

Marta Lewicka and Piotr B. Mucha


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.

MSC Codes:
76N10, 35B40, 35Q35
viscous reactive gas, p'th power gas, temporal asymptotics

Related publications

2004 Repository Open Access
Piotr B. Mucha and Marta Lewicka

On temporal asymptotics for the pth power viscous reactive gas

In: Nonlinear analysis / A, 57 (2004) 7/8, pp. 951-969