Speaker: Shu-Ming Sun, Virginia Tech

Title: Mathematical Theory of Solitary Water Waves

Abstract: The talk concerns the mathematical aspects of solitary waves (i.e. single hump waves) moving with a constant speed on water of finite depth with surface tension using fully nonlinear equations (called Euler equations) governing the motion of the fluid flow. The talk will first give a quick introduction of solitary waves and provide a simple derivation of the solitary-wave solutions for the exact Euler equations. Then, the mathematical theory of existence and stability of two-dimensional solitary waves will be discussed. The recent development on the existence and stability of various three-dimensional water waves will also be presented.

Place: Science and Technology Building I, Room 242

Refreshments will be served before the talk at 3:00 p.m. in Room 222.

Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491