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Vanishing viscosity limit to rarefaction wave with vacuum for 1-D compressible Navier-Stokes equations with density-dependent viscosity
The vanishing viscosity limit of the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity (ρ) = ρ α (α > 0) is considered in the present paper.It is proven that given a rarefaction wave with one-side vacuum state to the compressible Euler equations, we can construct a sequence of solutions to …