Criticality and stochasticity in quasilinear fluid systems

April 5 to April 9, 2021

at the

American Institute of Mathematics, San Jose, California

organized by

Mimi Dai, Adam Larios, Alexis F Vasseur, and Kazuo Yamazaki

Original Announcement

This workshop is devoted to the phenomena of criticality and stochasticity which co-occur in many interesting nonlinear partial differential equations (PDEs). It is designed to help strengthen and expand the deep connections between these phenomena by gathering researchers with different backgrounds in these areas, encouraging discussions of recent developments as well as open problems, and fostering collaborations during and after the workshop. In particular, the workshop will focus on a certain PDEs for which these phenomena play a major role; namely, the 3D Euler and Navier-Stokes (NS) equations of incompressible fluids, the 2D surface quasi-geostrophic (SQG) equation of geophysical flows, and the 3D Hall-magnetohydrodynamic (Hall-MHD) system.

New ideas and methods for these exciting developments will be exchanged, discussed, and analyzed during this workshop. In particular, lectures and discussions will include discourse on current open problems with the aim of making real progress. It is hoped that the combined effort of the workshop participants will generate new strategies and innovative ideas that will lead to the resolution of many outstanding open problems on the quasilinear fluid systems.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.