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
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.

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

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

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

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

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

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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