Singularity Formation for Reduced Models of Fluid Equations - Mimi Dai

Explore the intricacies of singularity formation in reduced models of fluid equations in this comprehensive seminar on Analysis and Geometry. Delve into the fascinating connection between non-resistive electron magnetohydrodynamics (MHD) and the Euler equation. Examine one-dimensional reduced models as tools for understanding the nonlinear structure and dynamics of electron MHD. Investigate the occurrence of finite time singularities in reduced models under specific contexts. Follow the speaker's journey through physical parameters, coupling, electron MHD, and intuitions derived from reduced models. Uncover the challenges, negative identity, and singularity information associated with these models. Analyze the initial profile and engage with the proof presented. Gain valuable insights into this complex area of fluid dynamics and its mathematical implications.

Intro
Review
Physical parameters
Coupling
Electron MHD
Intuitions from reduced models
Bad news
Negative identity
Singularity information
Initial profile
Proof