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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 - Memoirs of the American Mathematical Society

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Publisher's Synopsis

"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+. 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"--.

Book information

ISBN: 9781470446895
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 532
DEWEY edition: 23/eng20220428
Language: English
Number of pages: 119
Weight: 244g
Height: 254mm
Width: 178mm