Nonlinear stability of viscous shock wave to one-dimensional compressible isentropic Navier-Stokes equations with density dependent viscous coefficient

Abstract

We prove nonlinear stability of viscous shock wave of arbitrary amplitudes to a one-dimensional compressible isentropic Navier-Stokes equations with density dependent viscosity. Under the assumption that the viscous coefficient is given as a power function of density, any viscous shock wave is shown to be nonlinear stable for small initial perturbations… (More)

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