Singularities in nonlinear evolution phenomena and applications
timetable:
Thu 29 May, 11:00 - 12:00, Aula Dini
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seminar: On some special solutions and regimes of the Gross-Pitaevskii equation
speaker: Fabrice Bethuel (Laboratoire Jacques-Louis LIONs, Université Pierre et Marie Curie, Paris)abstract: The Gross-Pitaevskii equation exhibits a large variety of regimes and special solutions. In this talk, I will focus first on the existence and properties of traveling wave solutions in dimensions 1,2 and 3 (this part of the talk is based on recent joint work with Philippe Gravejat and Jean-Claude Saut). I will stress in particular the transsonic KP-I limit for small energy traveling waves in dimension 2. In a seconf part, I will discuss another, though related regime, which, from a certain point of view, might be considered as a long wave length limit of the problem (this part is based on a joint ongoing work with Raphaël Danchin and Didier Smets).
timetable:
Thu 29 May, 11:00 - 12:00, Aula Dini
<< Go back