English

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

Analysis of PDEs 2023-05-17 v1

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.

Keywords

Cite

@article{arxiv.2305.09393,
  title  = {Zero-viscosity limit of the compressible Naiver-Stokes equations in the analytic setting},
  author = {Chao Wang and Yuxi Wang and Zhifei Zhang},
  journal= {arXiv preprint arXiv:2305.09393},
  year   = {2023}
}

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43 pages