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<p>In this paper, we study the zero-viscosity limit of the compressible Navier-Stokes equations in a half-space with the 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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Chao Wang,
  • Yuxi Wang,
  • Zhifei Zhang

摘要

In this paper, we study the zero-viscosity limit of the compressible Navier-Stokes equations in a half-space with the 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.