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Communications in Mathematical Sciences
Volume 19 (2021)
Number 5
Stability of degenerate stationary solution to the outflow problem for full Navier–Stokes equations
Pages: 1233 – 1246
DOI: https://dx.doi.org/10.4310/CMS.2021.v19.n5.a3
Authors
Abstract
This paper is concerned with large-time behavior of solutions to the outflow problem of full compressible Navier–Stokes equations in the half line. This is one out of the series of papers by the authors on the stability of nonlinear waves to the outflow problem. We show the time-asymptotic stability of degenerate (transonic) stationary solution for the general gas including ideal polytropic gas. The proof is based on delicate energy estimates.
Keywords
compressible, Navier–Stokes equations, outflow problem, stationary solution, stability
2010 Mathematics Subject Classification
35B35, 35L65, 35Q30, 74J40, 76D33
Received 16 May 2020
Accepted 24 December 2020
Published 11 November 2021