Warren Li Stanford University

On ODE blow up for the focusing nonlinear wave equation

Abstract:

In any spacetime dimension, the equation ☐ Φ = - Φ^p "ODE blow-up" solutions of the form Φ = c (T - t)^-α, where Φ blows up on the hypersurface {t = T}. In this talk, we discuss how one can prescribe generalized ODE blow-up solutions that blow up on any suitably regular spacelike hypersurface in Minkowski space, as well as the stability properties of this blow up curve to perturbations away from the singularity. This talk is based on upcoming joint work with Istvan Kadar (ETH Zurich).