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SUMMARY:Global Solutions for Nonlinear Dispersive Waves
DTSTART:20250407T120000Z
DTEND:20250407T140000Z
DTSTAMP:20260610T234800Z
UID:indico-event-13566@indico.math.cnrs.fr
CONTACT:cecile@ihes.fr
DESCRIPTION:Speakers: Daniel Tataru (UC Berkeley)\n\nThe key property of l
 inear dispersive flows is that waves with different frequencies travel wit
 h different group velocities\, which leads to the phenomena of dispersive 
 decay. Nonlinear dispersive flows also allow for interactions of linear wa
 ves\, and their long time behavior is determined by the balance of linear 
 dispersion on one hand\, and nonlinear effects on the other hand. The firs
 t goal of these lectures  will be to present and motivate a new set of co
 njectures which aim to describe the global well-posedness and the dispersi
 ve properties of solutions in the most difficult case when the nonlinear e
 ffects are dominant\, assuming only small initial data. This covers many i
 nteresting physical models\, yet\, as recently as a few years ago\, there 
 was no clue even as to what one might reasonably expect. The second object
 ive of the lectures will be to describe some very recent results in this d
 irection\, in joint work with my collaborator Mihaela Ifrim from Universit
 y of Wisconsin\, Madison.\n\nhttps://indico.math.cnrs.fr/event/13566/
LOCATION:Amphithéâtre Léon Motchane (IHES)
URL:https://indico.math.cnrs.fr/event/13566/
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