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Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity (2207.12222v1)

Published 25 Jul 2022 in math.AP

Abstract: We consider the compressible Navier-Stokes system describing the motion of a barotropic fluid with density dependent viscosity confined in a three-dimensional bounded domain $\Omega$. We show the convergence of the weak solution to the compressible Navier-Stokes system to the strong solution to the compressible Euler system when the viscosity and the damping coefficients tend to zero.

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