Criticality and stochasticity in quasilinear fluid systems
April 5 to April 9, 2021
American Institute of Mathematics,
San Jose, California
Alexis F Vasseur,
and Kazuo Yamazaki
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.