An initial and boundary-value problem for the KP-II equation on a strip and on the half plane. (Q976626)
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scientific article; zbMATH DE number 5720831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An initial and boundary-value problem for the KP-II equation on a strip and on the half plane. |
scientific article; zbMATH DE number 5720831 |
Statements
An initial and boundary-value problem for the KP-II equation on a strip and on the half plane. (English)
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15 June 2010
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The Kadomtsev-Petviashvili equation is a universal model for the evolution of surface waves of small amplitude propagating in one direction and with weak variations in the transverse direction. The pure initial-value problem was and is extensively studied. This paper deals with the initial-and-boundary-value problem for this equation on a strip with a Dirichlet left boundary condition and two kinds of conditions on the right boundary. Moreover, the case of the half plane is treated and a result on convergence is shown.
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local existence theory
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0.9340868
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0.9185458
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0.9107624
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0.9079747
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0.9022619
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0.89808434
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0.89600676
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0.8950962
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