Validity of Prandtl boundary layer from the kinetic theory

Chanwoo Kim, University of Wisconsin-Madison
Fine Hall 314

In this talk, we discuss an asymptotic expansion of the Boltzmann equation in the high Reynolds number regime. This expansion incorporates the diffuse reflection boundary condition which corresponds to the no-slip boundary in the fluid. Our analysis demonstrates the convergence of this expansion toward the Prandtl boundary layer solution.