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arXiv · 0912.4783

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

Feimin Huang·Xiaoding Shi·Yi Wang
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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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Feimin Huang, Xiaoding Shi, Yi Wang. 2009-12-24. Stability of viscous shock wave for compressible Navier-Stokes equations with free boundary. https://arxiv.org/abs/0912.4783

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