Singular limits for compressible inviscid rotating fluids
Analysis of PDEs
2019-07-17 v1
Abstract
We study singular limit for scaled barotropic Euler system modelling a rotating, compressible and inviscid fluid, where Mach and Rossby numbers are proportional to a small parameter . If the fluid is confined to an infinite slab, the limit behaviour is identified as a horizontal motion of an incompressible inviscid system that is analogous to the Euler system. We consider a very general class of solutions, named dissipative solution for the scaled compressible Euler systems and will show that it converges to a strong solution of that incompressible inviscid system.
Cite
@article{arxiv.1907.06784,
title = {Singular limits for compressible inviscid rotating fluids},
author = {Nilasis Chaudhuri},
journal= {arXiv preprint arXiv:1907.06784},
year = {2019}
}