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

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

2009-12-24

arxiv.org/abs/0912.4783v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

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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