Columbia Mathematics Department Colloquium

 

Wellposedness of the two and three dimensional

 full water wave problem

by

 Sijue Wu  

                                                                   University of Michigan

 

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.

 

 

  April 7th, Wednesday, 5:00-6:00 pm

Mathematics 520

Tea will be served at 4:30pm