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2005 An initial and boundary-value problem for the KP-II equation on a strip and on the half plane
Benoît Merlet, Lionel Paumond
Differential Integral Equations 18(7): 813-839 (2005).

Abstract

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, we treat the case of the half plane and we show a result of convergence.

Citation

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Benoît Merlet. Lionel Paumond. "An initial and boundary-value problem for the KP-II equation on a strip and on the half plane." Differential Integral Equations 18 (7) 813 - 839, 2005.

Information

Published: 2005
First available in Project Euclid: 21 December 2012

zbMATH: 1212.35368
MathSciNet: MR2150659

Subjects:
Primary: 35Q53

Rights: Copyright © 2005 Khayyam Publishing, Inc.

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Vol.18 • No. 7 • 2005
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