Displaying similar documents to “Global convergence toward traveling fronts in nonlinear parabolic systems with a gradient structure”

On the long time behavior of KdV type equations

Nikolay Tzvetkov (2003-2004)

Séminaire Bourbaki

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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 Martel-Merle, together with a presentation of previously known closely related results.