1,213 research outputs found

    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 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.Comment: 20 page

    On the stability of contact discontinuity for compressible Navier-Stokes equations with free boundary

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