Soliton resolution for 2d equivariant wave map and 4d radial Yang Mills equation
主 题: Soliton resolution for 2d equivariant wave map and 4d radial Yang Mills equation
报告人: 郏浩 (芝加哥大学)
时 间: 2015-07-20 16:00-17:00
地 点: 理科一号楼 1303
Many natural nonlinear wave equations admit solitons. These solitons, together with symmetries (such as scaling, Lorentz...) play a prominent role in the singularity formation and long time dynamics of the equation. The ``soliton resolution conjecture" predicts that for general energy critical dispersive equations, the solution should asymptotically de-couple into a sum of solitons, plus radiation in the global case and a regular part in the finite time blow up case. We will briefly review some partial results on this conjecture, focusing on the 2d equivariant wave maps and the 4d radial Yang Mills equation. Joint work with C.Kenig.