Validity of Prandtl Expansion for Steady Compressible Navier-Stokes-Fourier Flows
流体力学数学理论专题报告
报告题目(Title)：Validity of Prandtl Expansion for Steady Compressible Navier-Stokes-Fourier Flows
报告人(Speaker)：王勇 研究员（中国科学院数学与系统研究院）
地点(Place)：后主楼1124
时间(Time)：2026年1月15日（周四）15:00-15:50
邀请人(Inviter)：许孝精
报告摘要
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 ε → 0, we develop a mathematical framework for the uniform-in-ε remainder estimate for the linear steady compressible Navier-Stokes-Fourier equations around a Prandtl layer profile (ρ_s, p_s, T_s) with both velocity and thermal layers, which leads to the validity of the Prandtl layer expansion.
