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arXiv · 2501.13360

Validity of Prandtl Expansion for Steady Compressible Navier-Stokes-Fourier Flows

Yan Guo·Yong Wang
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Abstract

Assume no-slip boundary conditions for the velocity field and either insulated or Dirichlet boundary conditions for the temperature field in a steady compressible fluid. In the inviscid limit $\v \rightarrow 0$, we develop a mathematical framework for the uniform-in-$\v$ remainder estimate for the linear steady compressible Navier-Stokes-Fourier equations around a Prandtl layer profile with both velocity and thermal layers, which leads to the validity of the Prandtl layer expansion.

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Yan Guo, Yong Wang. 2025-01-23. Validity of Prandtl Expansion for Steady Compressible Navier-Stokes-Fourier Flows. https://arxiv.org/abs/2501.13360

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