Special Session 131: Recent progress on singularities formations of some evolution partial differential equations
Numerical and analytical approaches for the blow-up dynamics for some nonlinear dispersive equations
Kai Yang
Chongqing University Peoples Rep of China
Co-Author(s):
Abstract:
We discuss some results about the existence and stable blow-up solutions and their dynamics for the L2 critical and super-critical nonlinear Schrodinger type and the KdV type equations. These results are obtained from both numerical and analytical approaches. This is joint work with Luiz Farah, Justin Holmer, Annie Millet, Svetlana Roudenko and Yanxiang Zhao.