On the coupled system of nonlinear wave equations with different propagation speeds
Tohru Ozawa, Kimitoshi Tsutaya, Yoshio Tsutsumi (2000)
Banach Center Publications
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Displaying similar documents to “Space-time resonances”
On the coupled system of nonlinear wave equations with different propagation speeds
Global attraction to solitary waves in models based on the Klein-Gordon equation.
Komech, Alexander I., Komech, Andrew A. (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Existence of global solution of a nonlinear wave equation with short-range potential
V. Georgiev, K. Ianakiev (1992)
Banach Center Publications
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Fourier integral operators and nonlinear wave equations
Christopher Sogge (1997)
Banach Center Publications
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Nonlinear Pulse Propagation
Jeffrey Rauch (2001)
Journées équations aux dérivées partielles
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This talk gives a brief review of some recent progress in the asymptotic analysis of short pulse solutions of nonlinear hyperbolic partial differential equations. This includes descriptions on the scales of geometric optics and diffractive geometric optics, and also studies of special situations where pulses passing through focal points can be analysed.
Scattering for the Beam equation
Benoit Pausader (2008)
Journées Équations aux dérivées partielles
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Existence globale et diffusion pour l’équation de Schrödinger non linéaire répulsive cubique sur en dessous l’espace d’énergie
J. Colliander, M. Keel, G. Staffilani, H. Takaoka, T. Tao (2002)
Journées équations aux dérivées partielles
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We sketch a proof of global existence and scattering for the defocusing cubic nonlinear Schrödinger equation in for . The proof uses a new estimate of Morawetz type.
Long-time asymptotics of solutions to some nonlinear wave equations
Grzegorz Karch (2000)
Banach Center Publications
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In this paper, we survey some recent results on the asymptotic behavior, as time tends to infinity, of solutions to the Cauchy problems for the generalized Korteweg-de Vries-Burgers equation and the generalized Benjamin-Bona-Mahony-Burgers equation. The main results give higher-order terms of the asymptotic expansion of solutions.