Differential and Integral Equations

An initial and boundary-value problem for the KP-II equation on a strip and on the half plane

Benoît Merlet and Lionel Paumond

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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.

Article information

Source
Differential Integral Equations, Volume 18, Number 7 (2005), 813-839.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060167

Mathematical Reviews number (MathSciNet)
MR2150659

Zentralblatt MATH identifier
1212.35368

Subjects
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]

Citation

Merlet, Benoît; Paumond, Lionel. An initial and boundary-value problem for the KP-II equation on a strip and on the half plane. Differential Integral Equations 18 (2005), no. 7, 813--839. https://projecteuclid.org/euclid.die/1356060167


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