PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Yuxi Zheng, Kris Jenssen.

Title:Wellposedness of the two and three dimensional full water wave problem
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Sijue Wu, Univ of Michigan, Ann Arbor
Abstract:
We consider the question of global in time existence and uniqueness of solutions of the infinite depth full water wave problem. We show that the nature of the nonlinearity of the water wave equation is essentially of cubic and higher orders. For any initial data that is small in its kinetic energy and height, we show that the 2-D full water wave equation is uniquely solvable almost globally in time. And for any initial interface that is small in its steepness and velocity, we show that the 3-D full water wave equation is uniquely solvable globally in time.

Room Reservation Information

Room Number:MB106
Date:04 / 09 / 2010
Time:03:35pm - 04:25pm