Special Session 1: Recent Advances in Brezis-Nirenberg Problem

Blow-up and stability for quadratic derivative nonlinear wave equations
Oliver Gough
University of Bath
England
Co-Author(s):    Manuel del Pino, Monica Musso
Abstract:
This talk concerns finite-time blow-up in nonlinear wave equations with quadratic derivative nonlinearities. A central question is to understand the blow-up profile and mechanism in such equations, and whether the corresponding singular solutions continue to describe the dynamics under small perturbations. I will discuss recent work on these questions.