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

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  • A free boundary problem for the one-dimensional compressible Navier-Stokes equations in Eulerian coordinate is investigated. The stability of the viscous shock wave to the free boundary problem is established under some smallness conditions. The proof is given by an elementary energy method.
    Mathematics Subject Classification: Primary: 35Q30, 76D05, 76D33; Secondary: 76N15, 76D15.

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