An Introduction to Super Critical Singularities - Lecture 1: Energy Super Critical Singularity Formation
Delve into the fascinating world of super critical singularities in this graduate-level lecture, the first in a series of four. Explore the classical problem of singularity formation in non-linear partial differential equations (PDEs) and its profound physical implications. Gain insights into the significant advancements made over the past three decades in understanding "bubbling" phenomena for focusing problems. Discover recently uncovered mechanisms in defocusing problems and their deep connections to fluid mechanics. Learn about key results, open problems, and essential proof steps in the field of super critical singularities. Join Pierre Raphaël from the University of Cambridge as he provides a comprehensive introduction to energy super critical singularity formation, offering a solid foundation for further exploration of this complex and intriguing area of mathematics.