Stability of viscous shock wave for compressible Navier-Stokes equations with free boundary

2009/12/24 by Huang, Feimin, Shi, Xiaoding, Wang, Yi
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.0912.4783

Abstract

A free boundary problem for the one-dimensional compressible Navier-Stokes equations is investigated. The asymptotic stability of the viscous shock wave is established under some smallness conditions. The proof is given by an elementary energy estimate.

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