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Stability analysis of nonlinear fluid models around affine motions
PDE and Applied Math Seminar| Speaker: | Calum Rickard, USC |
| Location: | Zoom |
| Start time: | Thu, May 6 2021, 4:10PM |
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.