Stability of Solitary Waves (School)
timetable:
Tue 20 May, 9:30 - 10:15, Aula Dini
Tue 20 May, 10:45 - 11:30, Aula Dini
Thu 22 May, 9:00 - 9:45, Aula Dini
Thu 22 May, 10:15 - 11:00, Aula Dini
Thu 22 May, 11:15 - 12:00, Aula Dini
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Cauchy theory for the gravity water wave system with rough data
speaker: Claude Zuily (Université de Paris Sud-0rsay 91405 Orsay cedx)abstract: The goal of this course is to sketch the proof of a recent result, obtained in collaboration with Thomas Alazard and Nicolas Burq, which concerns the local existence of a solution for the Cauchy problem for the gravity water wave system in any dimension, when the data belong to a Sobolev space of low regularity. This course can be followed by phd students. Here are the main sections which will be developed. 1. Description of the equations. The Craig-Sulem-Zaharov formulation.The main result. 2. The Dirichlet- Neumann operator and its paralinearization. 3. The reformulation of the equations and the energy estimates. 4. End of the proof. 5. Description of several extensions and open problems.
timetable:
Tue 20 May, 9:30 - 10:15, Aula Dini
Tue 20 May, 10:45 - 11:30, Aula Dini
Thu 22 May, 9:00 - 9:45, Aula Dini
Thu 22 May, 10:15 - 11:00, Aula Dini
Thu 22 May, 11:15 - 12:00, Aula Dini
<< Go back