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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium
Shu-Ming Sun
Virginia Polytechnic Institute
Title: Existence of Gravity-Capillary Waves on Water of Finite Depth

Abstract: The talk will provide recent results on the existence of two- and three-dimensional waves on the free surface of water with finite depth under the influence of the gravity and surface tension using the exact governing equations (called Euler equations). It will be shown that when the non-dimensional wave-speed and surface tension are in various regions, the Euler equations possess many different kinds of two- or three-dimensional solutions. In particular, for large surface tension, there are three-dimensional localized waves, while for small surface tension, three-dimensional waves with oscillations at infinity exist. Moreover, the possibility of existence of 2D multi-solitary waves will be addressed.

Recording: http://mm.math.cmu.edu/recordings/cna/CNA-ShuMingSun-Mar-06-2012.avi
Recording: http://mm.math.cmu.edu/recordings/cna/CNA-ShuMingSun-Mar-06-2012.mp4
Pdf File: SunShuMing.pdf
Date: Tuesday, March 6, 2012
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer