Special Session 131: Recent progress on singularities formations of some evolution partial differential equations
Blow-up phenomena in one-dimensional derivative nonlinear wave equations
Jie Liu
New York University Abu Dhabi United Arab Emirates
Co-Author(s): Tej-eddine Ghoul, Jie Liu, Nader Masmoudi
Abstract:
In this talk, we construct explicit smooth blow-up solutions for the one-dimensional derivative nonlinear wave equation, for which no smooth self-similar solutions exist. Additionally, we establish the stability of these blow-up solutions.