Home /  Euler/Navier Stokes (Part 2): Incompressible Euler limit from the Boltzmann equation with diffuse boundary

Seminar

Euler/Navier Stokes (Part 2): Incompressible Euler limit from the Boltzmann equation with diffuse boundary May 20, 2021 (09:30 AM PDT - 10:30 AM PDT)
Parent Program:
Location: SLMath: Online/Virtual
Speaker(s) Juhi Jang (University of Southern California)
Description

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

 

 

Keywords and Mathematics Subject Classification (MSC)
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Abstract/Media

To participate in this seminar, please register here: https://www.msri.org/seminars/25657

Abstract:

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 this, we study the Euler limit through the Navier Stokes flows of large Reynolds 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. 

 

 

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