Mixing and nonlinear stability

April 11 to April 15, 2016

at the

American Institute of Mathematics, San Jose, California

organized by

Jacob Bedrossian and Nader Masmoudi

Original Announcement

This workshop will be devoted to expanding the mathematical analysis of mixing phenomena arising in fluid mechanics and kinetic theory as well as increasing communication between the different communities working in the field. The specific focus will be on the relationship between mixing and nonlinear stability problems, that is, how the fluid mixing itself changes the dynamics. In fluid mechanics, mixing-related stability mechanisms are connected to coherent structures at high Reynolds number and thought to be important for understanding the stability of hurricanes and other weather phenomena as well as potentially playing a role in organizing 2D turbulence. Recent work also shows that these effects are important for understanding the stability and subcritical instability of 3D laminar flows. In plasma physics and galaxy dynamics, the mixing effect known as Landau damping has long been recognized as a fundamental stability mechanism in nearly collisionless kinetic models. Despite its fundamental physical relevance and importance in practical settings, the mathematical analysis of these mixing phenomena is very under-developed due to subtle regularity issues connected with unusual nonlinear resonances and even often a lack of clear understanding of linear mixing phenomena.

The main topics of interest will likely cover:

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.