Zoom link: https://princeton.zoom.us/j/4745473988
In this talk, we discuss the derivation of the incompressible Euler equations with the no-penetration boundary condition from the Boltzmann equation with the diffuse reflection boundary condition. The main difficulty lies in the boundary mismatch in the limit, as the no-penetration boundary condition of Euler flows does not honor the diffuse reflection boundary condition at the leading order. To overcome, we study the Euler limit through the Navier-Stokes flows of large Reynold numbers satisfying the no-slip boundary condition as intermediary approximations via a new Hilbert type expansion.
The talk is based on a joint work with Chanwoo Kim.