Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary
Title | Local Well-Posedness and Break-Down Criterion of the Incompressible Euler Equations with Free Boundary PDF eBook |
Author | Chao Wang |
Publisher | American Mathematical Soc. |
Pages | 119 |
Release | 2021-07-21 |
Genre | Education |
ISBN | 1470446898 |
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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.
LOCAL WELL-POSEDNESS AND BREAK-DOWN CRITERION OF THE INCOMPRESSIBLE EULER EQUATIONS WITH FREE BOUNDARY.
Title | LOCAL WELL-POSEDNESS AND BREAK-DOWN CRITERION OF THE INCOMPRESSIBLE EULER EQUATIONS WITH FREE BOUNDARY. PDF eBook |
Author | CHAO. WANG |
Publisher | |
Pages | |
Release | 2021 |
Genre | |
ISBN | 9781470465247 |
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Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities
Title | Local Dynamics of Non-Invertible Maps Near Normal Surface Singularities PDF eBook |
Author | William Gignac |
Publisher | American Mathematical Society |
Pages | 100 |
Release | 2021-11-16 |
Genre | Mathematics |
ISBN | 1470449587 |
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Elliptic Theory for Sets with Higher Co-Dimensional Boundaries
Title | Elliptic Theory for Sets with Higher Co-Dimensional Boundaries PDF eBook |
Author | Guy David |
Publisher | American Mathematical Society |
Pages | 123 |
Release | 2021-12-30 |
Genre | Mathematics |
ISBN | 1470450437 |
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Local $L^p$-Brunn-Minkowski Inequalities for $p
Title | Local $L^p$-Brunn-Minkowski Inequalities for $p PDF eBook |
Author | Alexander V. Kolesnikov |
Publisher | American Mathematical Society |
Pages | 78 |
Release | 2022-05-24 |
Genre | Mathematics |
ISBN | 1470451603 |
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The Yang-Mills Heat Equation with Finite Action in Three Dimensions
Title | The Yang-Mills Heat Equation with Finite Action in Three Dimensions PDF eBook |
Author | Leonard Gross |
Publisher | American Mathematical Society |
Pages | 111 |
Release | 2022-02-02 |
Genre | Mathematics |
ISBN | 1470450534 |
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Goodwillie Approximations to Higher Categories
Title | Goodwillie Approximations to Higher Categories PDF eBook |
Author | Gijs Heuts |
Publisher | American Mathematical Society |
Pages | 108 |
Release | 2021-11-16 |
Genre | Mathematics |
ISBN | 1470448939 |
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