Mathematical questions in wave turbulence theory

May 15 to May 19, 2017

at the

American Institute of Mathematics, San Jose, California

organized by

Tristan Buckmaster, Pierre Germain, Zaher Hani, and Jalal Shatah

Original Announcement

This workshop will be devoted to mathematical questions in weak turbulence theory. This branch of equilibrium statistical physics tries to describe the dynamics of nonlinear waves over long time intervals, or in the presence of a random forcing. It was developed mostly by physicists and applied mathematicians in the past century, but very little is known rigorously in this field. It is our aim to advance its mathematical understanding.

The main topics for the workshop are

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Papers arising from the workshop:

The surface quasi-geostrophic equation with random diffusion
by  Tristan Buckmaster, Andrea Nahmod, Gigliola Staffilani, and Klaus Widmayer