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Event Detail Information

Event Detail Information

Date Apr 5, 2012
Time 4:00 pm  
Location 245 Altgeld Hall
Sponsor Department of Mathematics
Contact Ilya Kapovich
Event type colloquia
Views 1962
Originating Calendar Mathematics
Sijue Wu (University of Michigan) will present "Wellposedness of the two and three dimensional full water wave problem." 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.