The one dimensional shallow water equations with Dirichlet boundary conditions on the velocity (Q630053)
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scientific article; zbMATH DE number 5866445
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The one dimensional shallow water equations with Dirichlet boundary conditions on the velocity |
scientific article; zbMATH DE number 5866445 |
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The one dimensional shallow water equations with Dirichlet boundary conditions on the velocity (English)
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16 March 2011
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The authors study the one-dimensional shallow water equation for a nonviscous fluid with Dirichlet boundary conditions on the velocity. Approximate solutions are constructed and various a priori estimates are proved. Then, by showing the convergence of the approximate solutions, the local existence of the solution and its uniqueness are proved, i.e., the local in time well-posedness of the problem.
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nonviscous fluid
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local in time well-posedness
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