An Introduction to Super Critical Singularities - Lecture 4: Stability of Implosion

Delve into the final lecture of a four-part graduate-level series exploring super critical singularities in non-linear partial differential equations. Focus on the stability of implosion, a crucial aspect of singularity formation in defocusing problems. Examine the recent discoveries in this field and their profound connections to fluid mechanics. Gain insights into key results, open problems, and essential proof techniques. Learn from Pierre Raphaël of the University of Cambridge as he concludes this comprehensive introduction to the subject, building upon the foundations laid in the previous three lectures.