On Some Large Time Behaviors of Surface Water Waves

Abstract

[evdate 2012-10-19] Institute for Advanced Study Distinguished Lecture. Abstract: Prof Wu and her research group consider the motion of the interface separating an inviscid, incompressible, irrotational fluid, under the influence of the gravity, from a region of zero density. The speaker will survey results and ideas concerning the local and global well-posedness of the Cauchy problem, and the present some recent work concerning the singularities of the solutions.

Prof Wu was trained as a harmonic analyst, and later on moved into the subject of nonlinear partial differential equations. She has worked on nonlinear partial differential equations from fluid dynamics, including the Euler equations, the vortex sheets and water waves. Her current research interest is on understanding the singularities in surface waves.

In 2001, Prof Wu received the Ruth Lyttle Satter Prize in Mathematics from the American Mathematics Society, and the Morningside Silver Medal in Mathematics for her work on water wave problems. She was awarded a Radcliffe Institute Advanced Study Fellowship from Harvard University for the academic year 2002-2003. In 2011, she was awarded the Morningside Gold Medal of Mathematics at the International Congress of Chinese Mathematicians. The Morningside Medal is considered the most prestigious award for Chinese experts in Mathematics. She is the first female recipient of the Gold Medal in the medal's history.

Duration: 79 min.