The Cauchy problem on large time for surface waves Boussinesq systems (Q429242)
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scientific article; zbMATH DE number 6049929
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Cauchy problem on large time for surface waves Boussinesq systems |
scientific article; zbMATH DE number 6049929 |
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The Cauchy problem on large time for surface waves Boussinesq systems (English)
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26 June 2012
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The authors consider the 2D Cauchy problem for a nonlinear four-parameter Boussinesq system for long-wavelength, small-amplitude gravity surface water waves derived from the incompressible Euler equations with free surface. It can be proved that this problem has a unique solution for long time intervals of order \(1/\varepsilon \). In this way the rigorous justification as asymptotic models to the full Euler equations with free surface is achieved.
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waterwaves
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Boussinesq systems
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long time existence
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Euler equations
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