BourbakiV1, Main, Exploration, bibRecord, 000D33

On the long time behavior of KDV type equations

Identifieur interne : 000D33 ( Main/Exploration ); précédent : 000D32; suivant : 000D34

On the long time behavior of KDV type equations

Auteurs : Nikolay Tzvetkov [France]

Source :

Astérisque [ 0303-1179 ] ; 2005.

RBID : Pascal:05-0358979

Descripteurs français

Pascal (Inist)
- Equation dérivée partielle, Equation Korteweg de Vries, Equation Hamilton, Existence solution, Explosion solution, Onde solitaire, Mathématiques, Dynamique non linéaire, Espace énergie, Equation généralisée, Explosion temps fini.
Wicri :
- topic : Mathématiques.

English descriptors

KwdEn :
- Blow up (mathematics), Energy space, Existence of solution, Generalized equation, Hamilton equation, Korteweg de Vries equation, Mathematics, Partial differential equation, Solitary wave, Solution blow up.

Abstract

In a series of recent papers, Martel and Merle solved the long-standing open problem on the existence of blow up solutions in the energy space for the critical generalized Korteweg-de Vries equation. Martel and Merle introduced new tools to study the nonlinear dynamics close to a solitary wave solution. The aim of the talk is to discuss the main ideas developed by klartiil-Nlerle, together with a presentation of previously known closely related results.

Url:

https://hal.archives-ouvertes.fr/hal-00019957

Affiliations:

Le document en format XML

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<term>Hamilton equation</term>
<term>Korteweg de Vries equation</term>
<term>Mathematics</term>
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<keywords scheme="Pascal" xml:lang="fr"><term>Equation dérivée partielle</term>
<term>Equation Korteweg de Vries</term>
<term>Equation Hamilton</term>
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<term>Explosion solution</term>
<term>Onde solitaire</term>
<term>Mathématiques</term>
<term>Dynamique non linéaire</term>
<term>Espace énergie</term>
<term>Equation généralisée</term>
<term>Explosion temps fini</term>
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<front><div type="abstract" xml:lang="en">In a series of recent papers, Martel and Merle solved the long-standing open problem on the existence of blow up solutions in the energy space for the critical generalized Korteweg-de Vries equation. Martel and Merle introduced new tools to study the nonlinear dynamics close to a solitary wave solution. The aim of the talk is to discuss the main ideas developed by klartiil-Nlerle, together with a presentation of previously known closely related results.</div>
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On the long time behavior of KDV type equations

On the long time behavior of KDV type equations

Source :

Descripteurs français

English descriptors

Abstract

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Le document en format XML

Pour manipuler ce document sous Unix (Dilib)

Pour mettre un lien sur cette page dans le réseau Wicri

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