Description of water wave dynamics based on differential inclusions (Q656342)
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scientific article; zbMATH DE number 5998410
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Description of water wave dynamics based on differential inclusions |
scientific article; zbMATH DE number 5998410 |
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Description of water wave dynamics based on differential inclusions (English)
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17 January 2012
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The author studies the evolution equations, written in conformal variables, governing free-surface unsteady inviscid flows. They represent a system of first-order nonlinear integro-differential equations with two complex-valued functions regarded as unknowns. The equations are approximated using differential inclusions. This approximation makes it possible to estimate the existence time of solutions via numerical calculations and provides a mathematical foundation for verified numerical experiments.
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unsteady inviscid flow
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evolution equations
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differential inclusions
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existence time of solutions
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