Water waves over a sloping beach (Q579060)
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scientific article; zbMATH DE number 4014255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Water waves over a sloping beach |
scientific article; zbMATH DE number 4014255 |
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Water waves over a sloping beach (English)
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1987
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The author describes the motion of an inviscid incompressible fluid over a sloping bottom. Mathematically this comes up to find solutions of the three-dimensional time-dependent Euler equations which are periodic in at least one variable and satisfy some mixed boundary conditions one of which is on a free surface. Using the method of introducing Lagrangean coordinates combined with successive approximations it is proved that local strict solutions exist if certain assumptions on the initial domain are valid.
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sloping bottom
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three-dimensional time-dependent Euler equations
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mixed boundary conditions
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Lagrangean coordinates
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