YoVDO

Vortex Sheets and Groupoids in Ideal Hydrodynamics

Offered By: Stony Brook Mathematics via YouTube

Tags

Mathematical Physics Courses Hydrodynamics Courses Groupoids Courses Lie Groupoids Courses Geodesic Flows Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore the group-theoretic approach to ideal hydrodynamics and its extensions in this mathematics colloquium talk. Delve into the concept of vortex sheets and their connection to Lie groupoids, examining how this framework applies to various equations in mathematical physics. Learn about the geodesic setting for phenomena such as fluids with moving boundaries and multiphase fluids. Discover the implications of this approach for describing homogenized vortex sheets and Brenier's generalized flows. Gain insights from the joint work of Boris Khesin and Anton Izosimov, presented at Stony Brook University's Mathematics Department Colloquium.

Syllabus

Vortex sheets and groupoids - Boris Khesin


Taught by

Stony Brook Mathematics

Related Courses

An Introductory Mini Course into Quantum Toric Geometry Lecture I - Day 1
IMSA via YouTube
Fundamentals of Lie Groupoids and Algebroids - Lecture Series
IMSA via YouTube
A Fixed-Point Formula for Dirac Operators on Lie Groupoids
Fields Institute via YouTube
Derived Higher Lie Groupoids
Fields Institute via YouTube
Lie Groupoids Determined by Their Orbit Spaces
Fields Institute via YouTube