Abstract
The speaker 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 then present some recent work concerning the singularities of the solutions.
About the speaker
Prof Sijue Wu received her PhD in Mathematics from Yale University in 1990. She spent the first 15 years of her career at the Courant Institute in New York University, the Institute for Advanced Study at Princeton, Northwestern University, University of Iowa and University of Maryland. In 2005, she was appointed the Robert W and Lynn H Browne Professor in Science at University of Michigan.
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.
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