Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary

Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
Author :
Publisher : American Mathematical Soc.
Total Pages : 119
Release :
ISBN-10 : 9781470446895
ISBN-13 : 1470446898
Rating : 4/5 (898 Downloads)

Book Synopsis Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary by : Chao Wang

Download or read book Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary 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. 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.


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