Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
Download or Read eBook Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary PDF written by Chao Wang and published by American Mathematical Soc.. This book was released on 2021-07-21 with total page 119 pages. Available in PDF, EPUB and Kindle.
| Author | : Chao Wang |
| Publisher | : American Mathematical Soc. |
| Total Pages | : 119 |
| Release | : 2021-07-21 |
| ISBN-10 | : 9781470446895 |
| ISBN-13 | : 1470446898 |
| Rating | : 4/5 (95 Downloads) |
Book Synopsis Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary by : Chao Wang
Book excerpt: 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.
