Thursday,
September 16, 12:00 p.m. PSA 311
Bin Cheng
School of Mathematical and Statistical Sciences
Low-Mach-Number Compressible Euler Equations with Solid-Wall Boundary Condition and general Initial Data
Abstract
We prove that the divergence-free component of the compressible
Euler equations with solid-wall boundary condition converges strongly
towards its incompressible counterpart as the Mach number approaches zero.
The major analytical and numerical challenge is: large amplitude of
fast oscillations (i.e. acoustic waves) exists initially and, in the bounded
domain, persists permanently in the compressible
solutions. I will address these issues WITHOUT filtering the initial
data. The computational implication of this study is open and I will be
happy to have it discussed if time permits.
