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

Chao Wang; Yuxi Wang; Zhifei Zhang

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arxiv 2305.09393 v1 pith:LGS24UUD submitted 2023-05-16 math.AP

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

Chao Wang , Yuxi Wang , Zhifei Zhang This is my paper

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keywords compressibleboundaryequationsanalyticlimitnavier-stokesprandtlzero-viscosity

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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.

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

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