Nonlinear Partial Differential Equations

Date: September 14, 2021

Time: 3:00PM - 4:00PM

Location: Zoom

Speaker: Jacek Jendrej, LAGA, Université Sorbonne Paris Nord

Title: Soliton resolution for equivariant wave maps

Abstract: I will present a joint work with Andrew Lawrie from MIT on equivariant wave maps with values in a sphere. We prove that every solution of finite energy decomposes, as time passes, into a superposition of harmonic maps (solitons) and radiation. The proof builds on prior works of Côte, and Jia and Kenig, who proved that such a decomposition holds for a sequence of times. We combine their ideas with modulation analysis of multi-solitons.