Blow-up time of some nonlinear wave equations.
Boni, Theodore K., Nabongo, Diabate, Sery, Roger B. (2008)
The Journal of Nonlinear Sciences and its Applications
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Displaying similar documents to “A minicourse on global existence and blowup of classical solutions to multidimensional quasilinear wave equations”
Blow-up time of some nonlinear wave equations.
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]...
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.
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.
Derivation of the Zakharov equations
Benjamin Texier (2005)
Journées Équations aux dérivées partielles
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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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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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Stabilization of solutions of an exterior boundary value problem for some class of evolution systems
B. Kapitonov (1992)
Banach Center Publications
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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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Uniqueness results for some PDEs
Nader Masmoudi (2003)
Journées équations aux dérivées partielles
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Existence of solutions to many kinds of PDEs can be proved by using a fixed point argument or an iterative argument in some Banach space. This usually yields uniqueness in the same Banach space where the fixed point is performed. We give here two methods to prove uniqueness in a more natural class. The first one is based on proving some estimates in a less regular space. The second one is based on a duality argument. In this paper, we present some results obtained in collaboration with...