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Self-similar Compressible Euler Flows
PDE and Applied Math Seminar| Speaker: | Kris Jenssen, Penn State University |
| Location: | Zoom |
| Start time: | Thu, May 4 2023, 4:10PM |
Gas flow in several dimensions is notoriously challenging to analyze in any generality. Self-similar flows provide a subclass of solutions that can be studied in detail. They are relevant in applications (bomb-making, inertial confinement fusion), and have recently provided a key ingredient in the work by Merle-Raphael-Rodnianski-Szeftel on singularity formation in compressible Navier-Stokes flows.
We will describe the setup for three uses of self-similarity in Euler flow: Guderley's original converging shock solution, continuous collapse of focusing waves, and the motion of fluid-vacuum interfaces.