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arXiv · 1905.06154

Vanishing viscosity of one-dimensional isentropic Navier-Stokes equations with density dependent viscous coefficient

Meiying Cui
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Abstract

In this paper, we study the vanishing viscosity of the isentropic compressible Navier-Stokes equations with density dependent viscous coefficient in the presence of the shock wave. Given a shock wave to the corresponding Euler equations, we can construct a sequence of solutions to one-dimensional compressible isentropic Navier-Stokes equations which converge to the shock wave as the viscosity tends to zero. The proof is given by an elementary energy method.

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Meiying Cui. 2019-05-14. Vanishing viscosity of one-dimensional isentropic Navier-Stokes equations with density dependent viscous coefficient. https://arxiv.org/abs/1905.06154

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