中国科学院数学与系统科学研究院

科研进展与学术交流报告会

（第138期）

报告人：王勇  研究员（中国科学院数学与系统科学研究院）

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

摘  要：Studying steady flows is crucial in fluid dynamics for designing efficient systems (e.g., pipes, turbines, aircraft). Boundary layer study is fundamental in flying vessels surrounded by a compressible fluid, for which the classical boundary layer theory for incompressible fluid becomes inadequate. Despite its importance both from mathematical and physical standpoints, to our knowledge, there are very limited mathematical results to solve the steady compressible flows with both momentum and energy equations even for a finite Reynolds' number in the presence of mixed non-slip and in-flow boundary condition.

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.

时  间：2026.5.8(星期五), 10:40-11:50

地  点：南楼204会议室，腾讯会议907-5908-5643

报告会视频

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