YoVDO

Can a Scalar Conservation Law Imitate a Diffeomorphism? - Lecture on Fluid Flow Geometry

Offered By: Stony Brook Mathematics via YouTube

Tags

Fluid Dynamics Courses Geometry Courses Diffeomorphisms Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
Explore a 50-minute lecture from the Workshop on Geometry and Analysis of Fluid Flows, featuring Barbara Keyfitz from Ohio State University. Delve into recent research conducted by Keyfitz, John Holmes, and Feride Tiglay, which investigates the representation of scalar convex conservation laws as paths in diffeomorphism spaces. Learn how this approach, inspired by Vladimir Arnold's program, applies to equations like the inviscid Burgers' equation. Discover how weak solutions transform into "weak diffeomorphisms" - bi-Lipschitz invertible mappings that themselves become solutions to conservation law systems. Gain insights into the intersection of fluid dynamics, geometry, and analysis in this specialized mathematics talk presented at Stony Brook University in January 2023.

Syllabus

Can a scalar conservation law imitate a diffeomorphism? - Barbara Keyfitz


Taught by

Stony Brook Mathematics

Related Courses

Introduction to Aerodynamics
Massachusetts Institute of Technology via edX
APĀ® Physics 2: Challenging Concepts
Davidson College via edX
Simulation and modeling of natural processes
University of Geneva via Coursera
Operazioni Unitarie e Reattori Chimici
University of Naples Federico II via Federica
Monozukuri: Making Things
Tokyo Institute of Technology via edX