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2013ǯ07·î19Æü 17»þ00ʬ
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2013ǯ07·î19Æü 18»þ00ʬ
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³«ºÅ¾ì½ê | µþÅÔÂç³ØÍý³ØÉô3¹æ´Û (¿ô³Ø¶µ¼¼) 251¹æ¼¼ |
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Part ¶: Multi-solitons for the water-waves system¡¡ |
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¹Ö±é¼Ô̾ | Nikolay Tzvetkov |
¹Ö±é¼Ô½ê° | Universite de Cergy-Pontoise |
³µÍ× | We will present the construction of multi-solitons
solutions (that is to say solutions that are time
asymptotics to a sum of decoupling solitary waves) for the
full water waves system with surface tension. This is a
generalization of similar results obtained for strongly
simplified model equations such as the KdV equation. The
construction is quite different compared with the one
solitons obtained in the classical work by Amick-
Kirchgassner since one has a dispersive tail added to the
main multi-soliton core. The talk is based on a joint work
with Mei Ming and Frederic Rousset. |
È÷¹Í | Part µ (15:30 - 16:30)
Invariant measures and long time behavior for the
Benjamin-Ono equation
Part ¶ (17:00 - 18:00)
Multi-solitons for the water-waves system
|
¥ê¥ó¥¯ | http://www.kurims.kyoto-u.ac.jp/~nobu/nlpde/ |