Decay rates for solutions of a system of wave equations with memory.
de Lima Santos, Mauro (2002)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Displaying similar documents to “The Cauchy problem for a short-wave equation.”
Decay rates for solutions of a system of wave equations with memory.
Asymptotic behavior for the centered-rarefaction appearance problem.
Flores-Espinoza, Ruben, Omel'yanov, Georgii A. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Solitary waves for a coupled nonlinear Schrödinger system with dispersion management.
Panayotaros, Panayotis, Sepulveda, Mauricio, Vera, Octavio (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity: some results and open problems
Mihai Mariş (2010)
Journées Équations aux dérivées partielles
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This text is a survey of recent results on traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. We present the existence, nonexistence and stability results and we describe the main ideas used in proofs.
Painlevé analysis and similarity reductions for the magma equation.
Harris, Shirley E., Clarkson, Peter A. (2006)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Existence and asymptotic expansion of solutions to a nonlinear wave equation with a memory condition at the boundary.
Nguyen Thanh Long, Le Xuan Truong (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Blow up of solutions for Klein-Gordon equations in the Reissner-Nordstrom metric.
Georgiev, Svetlin G. (2005)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Caustic consideration of long planetary wave packet analysis in the continuously stratified ocean.
Gorman, Arthur D., Yang, Huijun (2001)
International Journal of Mathematics and Mathematical Sciences
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Wave fronts of solutions of some classes of non-linear partial differential equations
P. Popivanov (1992)
Banach Center Publications
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1. This paper is devoted to the study of wave fronts of solutions of first order symmetric systems of non-linear partial differential equations. A short communication was published in [4]. The microlocal point of view enables us to obtain more precise information concerning the smoothness of solutions of symmetric hyperbolic systems. Our main result is a generalization to the non-linear case of Theorem 1.1 of Ivriĭ [3]. The machinery of paradifferential operators introduced by Bony [1]...
On global solutions to a nonlinear Alfvén wave equation
XS. Feng, F. Wei (1995)
Annales Polonici Mathematici
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We establish the global existence and uniqueness of smooth solutions to a nonlinear Alfvén wave equation arising in a finite-beta plasma. In addition, the spatial asymptotic behavior of the solution is discussed.
Classical solutions of the perturbed wave equation with singular potential.
Vaidya, A., Sparling, A.J. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Existence of solutions for a system of elliptic partial differential equations.
Dalmasso, Robert (2011)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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