Local Well Posedness And Break Down Criterion Of The Incompressible Euler Equations With Free Boundary
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| Author | : Chao Wang |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 119 |
| Release | : 2021-07-21 |
| Genre | : Education |
| ISBN | : 1470446898 |
In this paper, we prove the local well-posedness of the free boundary problem for the incompressible Euler equations in low regularity Sobolev spaces, in which the velocity is a Lipschitz function and the free surface belongs to C 3 2 +ε. Moreover, we also present a Beale-Kato-Majda type break-down criterion of smooth solution in terms of the mean curvature of the free surface, the gradient of the velocity and Taylor sign condition.
| Author | : CHAO. WANG |
| Publisher | : |
| Total Pages | : |
| Release | : 2021 |
| Genre | : |
| ISBN | : 9781470465247 |
| Author | : William Gignac |
| Publisher | : American Mathematical Society |
| Total Pages | : 100 |
| Release | : 2021-11-16 |
| Genre | : Mathematics |
| ISBN | : 1470449587 |
| Author | : Guy David |
| Publisher | : American Mathematical Society |
| Total Pages | : 123 |
| Release | : 2021-12-30 |
| Genre | : Mathematics |
| ISBN | : 1470450437 |
| Author | : Alexander V. Kolesnikov |
| Publisher | : American Mathematical Society |
| Total Pages | : 78 |
| Release | : 2022-05-24 |
| Genre | : Mathematics |
| ISBN | : 1470451603 |
| Author | : Leonard Gross |
| Publisher | : American Mathematical Society |
| Total Pages | : 111 |
| Release | : 2022-02-02 |
| Genre | : Mathematics |
| ISBN | : 1470450534 |
| Author | : Gijs Heuts |
| Publisher | : American Mathematical Society |
| Total Pages | : 108 |
| Release | : 2021-11-16 |
| Genre | : Mathematics |
| ISBN | : 1470448939 |
| Author | : Yann Palu |
| Publisher | : American Mathematical Society |
| Total Pages | : 95 |
| Release | : 2021-12-30 |
| Genre | : Mathematics |
| ISBN | : 1470450046 |
| Author | : Pierre Patie |
| Publisher | : American Mathematical Society |
| Total Pages | : 182 |
| Release | : 2021-11-16 |
| Genre | : Mathematics |
| ISBN | : 1470449366 |
| Author | : Mima Stanojkovski |
| Publisher | : American Mathematical Society |
| Total Pages | : 117 |
| Release | : 2021-12-09 |
| Genre | : Mathematics |
| ISBN | : 1470450038 |
