This seminar on singularity formation for reduced models of fluid equations aims to help learners understand the nonlinear structure and dynamics of electron magnetohydrodynamics (MHD). By exploring one-dimensional reduced models, participants will gain intuition on the connection between non-resistive electron MHD and the Euler equation. The course covers topics such as physical parameters, coupling, singularities, and initial profiles. The teaching method involves theoretical discussions and proofs. This seminar is intended for individuals interested in analysis, geometry, and fluid dynamics.
Singularity Formation for Reduced Models of Fluid Equations - Mimi Dai
Institute for Advanced Study via YouTube
Overview
Syllabus
Intro
Review
Physical parameters
Coupling
Electron MHD
Intuitions from reduced models
Bad news
Negative identity
Singularity information
Initial profile
Proof
Taught by
Institute for Advanced Study