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arxiv: 0912.4783 · v1 · submitted 2009-12-24 · 🧮 math.AP

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

classification 🧮 math.AP
keywords boundarycompressibleequationsfreenavier-stokesshockstabilityviscous
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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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