Almost global wellposedness of the 2-D full water wave problem

Monday, November 10, 2008 -
4:00pm to 6:00pm
We consider the problem of global in time existence and uniqueness of solutions of the 2-D infinite depth full water wave equation. It is known that this equation has a solution for a time period $[0, T/\epsilon]$ for initial data of form $\epsilon\Psi$, where $T$ depends only on $\Psi$. We show that for such data there exists a unique solution for a time period $[0, e^{T/{\epsilon}}]$. This is achieved by better understandings of the nature of the nonlinearity of the full water wave equation
Sijue Wu
University of Michigan, Ann Arbor
Event Location: 
Fine Hall 110