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Stability analysis of nonlinear fluid models around affine motions

Student-Run Analysis & PDE

Speaker: Calum Rickard, University of Southern California
Related Webpage: https://sites.google.com/view/calumrickard/home
Location: Zoom
Start time: Thu, Feb 4 2021, 1:10PM

The compressible Euler equations describe the flow of an inviscid ideal gas. The global-in-time existence of strong solutions is proven for three distinct compressible Euler systems in the presence of vacuum states which describe different physical and mathematical situations. Our results are obtained through perturbations around various forms of expanding background affine motions. The particular properties of the different affine motions present new mathematical challenges to the stability analysis in each case.


Zoom link: https://ucdavis.zoom.us/j/91748527825?
Passcode: first six digits of pi