On the Analyticity of Particle Trajectories in the Ideal Incompressible Fluid
| Autor: | Shnirelman, Alexander |
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| Rok vydání: | 2012 |
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| Druh dokumentu: | Working Paper |
| Popis: | A new proof is given of the fact that the particle trajectories of the ideal incompressible fluid are analytic curves, though the solutions of the Euler equations may have a finite regularity. This is a consequence of a general fact that the geodesic exponential map on the group of volume preserving diffeomorphisms belonging to the Sobolev space is real-analytic. The proof is based on the general properties of holomorphic maps in complex Banach spaces. Comment: 9 pages |
| Databáze: | arXiv |
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