Carlos Kenig : Soliton Resolution for nonlinear wave equations

Posted by Christof Sparber , part of the Departmental Colloquium.

At

April 17, 2015, 3 p.m.

In

SEO 636

Abstract

We will describe some recent works on the soliton resolution conjecture, for nonlinear wave equations. The soliton resolution conjecture, in this setting states that a general solution, asymptotically in time, decomposes as a finite sum of modulated solitons and radiation. In our recent works (with Duyckaerts and Merle, and with Lawrie, Liu and Schlag) we have proven this for the energy critical wave equation in the radial case, in 3d, and for equivariant exterior wave maps, also in 3d.