Stability of aerostatic equilibria in porous medium flows
JOURNAL OF DIFFERENTIAL EQUATIONS(2024)
摘要
This paper is concentrated upon the qualitative analysis of two specific cases of the compressible Euler equations with linear damping: self-balanced non-isentropic system and externally driven isentropic system. We consider initial-boundary value problems of the models on bounded domains in Rd. Both systems are supplemented with the no-normal-flow boundary condition. Under smallness assumptions on the initial perturbation and/or external force, it is shown that non-trivial steady states associated with the initial-boundary value problems are asymptotically stable in the long run.(c) 2023 Elsevier Inc. All rights reserved.
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关键词
Compressible Euler equations,Damping,Initial-boundary value problem,Classical solution,Global well-posedness,Long-time behavior
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