Regularity of Vortex and SQG Patches - Lecture

Explore a 47-minute conference talk by Alexander Kiselev on the regularity of vortex and SQG patches, recorded during the "MathFlows" thematic meeting at the Centre International de Rencontres Mathématiques in Marseille, France. Delve into topics such as singular patches, existence of patches, global irregularity, numerical simulations, splash singularity, contour equation, geometric quantities, evolution equations, and the main theorem with its proof. Access this video and other talks by renowned mathematicians through CIRM's Audiovisual Mathematics Library, featuring chapter markers, keywords, enriched content with abstracts and bibliographies, and a multi-criteria search function for easy navigation.

Introduction
Singular patches
Existence of patches
Global irregularity
Numerical simulations
Splash Singularity
Contour equation
Geometric quantities
Evolution equations
Main theorem
Main term
Proof