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arXiv · 2305.09393

Zero-viscosity limit of the compressible Naiver-Stokes equations in the analytic setting

Chao Wang·Yuxi Wang·Zhifei Zhang
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Abstract

In this paper, we study the zero-viscosity limit of the compressible Navier-Stokes equations in a half-space with non-slip boundary condition. We justify the Prandtl boundary layer expansion for the analytic data: the compressible Navier-Stokes equations can be approximated by the compressible Euler equations away from the boundary, and by the compressible Prandtl equation near the boundary.

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Chao Wang, Yuxi Wang, Zhifei Zhang. 2023-05-16. Zero-viscosity limit of the compressible Naiver-Stokes equations in the analytic setting. https://arxiv.org/abs/2305.09393

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