From point vortices to vortex patches in self-similar expanding configurations
| Autor: | Samuel Zbarsky |
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| Rok vydání: | 2019 |
| Předmět: | |
| DOI: | 10.48550/arxiv.1912.10862 |
| Popis: | The main result is that given a generic self-similarly expanding configuration of 3 point vortices that start sufficiently far out, we can instead take compactly supported vorticity functions, and the resulting solution to 2D incompressible Euler will evolve like a nearby point vortex configuration for all time, with the size of the patches growing at most as $t^{1/4+\epsilon}$ and the distance between them growing as $\sqrt{t}$. Comment: Updated and expanded introduction; some fixed typos |
| Databáze: | OpenAIRE |
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