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Smooth Implosion for 3d Fluids, Part 2
PDE and Applied Math Seminar| Speaker: | Tristan Buckmaster, University of Maryland |
| Location: | Zoom |
| Start time: | Thu, Oct 20 2022, 4:10PM |
We construct exact, smooth self-similar imploding solutions to the 3D isentropic compressible Euler equations for ideal gases. We also construct asymptotically self-similar imploding solutions to the compressible Navier-Stokes equations with density independent viscosity. These solutions have density bounded away from zero and converge to a constant at infinity, representing the first example of singularity formation in such a setting.