Multi solitary waves for nonlinear Schrödinger equations
Yvan Martel, Frank Merle (2006)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Displaying similar documents to “On the long time behavior of KdV type equations”
Multi solitary waves for nonlinear Schrödinger equations
Transverse nonlinear instability for two-dimensional dispersive models
F. Rousset, N. Tzvetkov (2009)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
On the collision of two solitons for the generalized KdV equation in the nonintegrable case
Yvan Martel, Frank Merle (2007-2008)
Séminaire Équations aux dérivées partielles
Similarity:
Blow up and near soliton dynamics for the critical gKdV equation
Yvan Martel, Frank Merle, Pierre Raphaël (2011-2012)
Séminaire Laurent Schwartz — EDP et applications
Similarity:
These notes present the main results of [, , ] concerning the mass critical (gKdV) equation for initial data in close to the soliton. These works revisit the blow up phenomenon close to the family of solitons in several directions: definition of the stable blow up and classification of all possible behaviors in a suitable functional setting, description of the minimal mass blow up in , construction of various exotic blow up rates in , including grow up in infinite time. ...
On the strongly damped wave equation with nonlinear damping and source terms.
Yu, Shengqi (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
Similarity:
Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills Problems
Pierre Raphaël, Igor Rodnianski (2008-2009)
Séminaire Équations aux dérivées partielles
Similarity:
This note summarizes the results obtained in []. We exhibit stable finite time blow up regimes for the energy critical co-rotational Wave Map with the target in all homotopy classes and for the equivariant critical Yang-Mills problem. We derive sharp asymptotics on the dynamics at blow up time and prove quantization of the energy focused at the singularity.