Incompressible Euler limit from the Boltzmann equation with diffuse boundary

Incompressible Euler limit from the Boltzmann equation with diffuse boundary

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Juhi Jang, University of Southern California

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.