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<p>In this paper, we study the inviscid limit of the Navier-Stokes equations in the half-space with non-slip boundary conditions and vortex patch data. In this case, the boundary layer, the initial layer and the internal transition layer will come out simultaneously. We justify the Prandtl boundary layer expansion in the case where the initial patch does not touch the boundary.</p>

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Inviscid limit of the Navier-Stokes equations with vortex patch data in the half-space

  • 期刊论文

  • 发表日期：

    2025年12月10日

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  • Chao Wang,
  • Jingchao Yue,
  • Zhifei Zhang

摘要

In this paper, we study the inviscid limit of the Navier-Stokes equations in the half-space with non-slip boundary conditions and vortex patch data. In this case, the boundary layer, the initial layer and the internal transition layer will come out simultaneously. We justify the Prandtl boundary layer expansion in the case where the initial patch does not touch the boundary.