Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary PDF Download
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Author: Chao Wang Publisher: American Mathematical Soc. ISBN: 1470446898 Category : Education Languages : en Pages : 119
Book Description
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: American Mathematical Soc. ISBN: 1470446898 Category : Education Languages : en Pages : 119
Book Description
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
Author: Chao Wang
Author: CHAO. WANG
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