Workshop I: Mathematical Analysis of Turbulence

Part of the Long Program Mathematics of Turbulence
September 29 - October 3, 2014

Overview

This workshop will focus on recent analysis and simulations supporting the theories of 2D and 3D turbulence. On the rigorous side there are proofs of the locality in wave number of energy and enstrophy fluxes, as well as sufficient conditions for, and connections between energy power laws, cascades, and dissipation laws. Direct numerical simulations have shed light on mode interactions, intermittency, condensates, and coherent structures, as well as the effects of rotation and stratification. In addition to the fundamental system, the Navier-Stokes equations, these phenomena are examined for a variety of fundamental systems including stochastic models, probabilistic approaches, and quasi-geostrophic, magnetohydrodynamic, and Rayleigh-Bénard convection equations.

It is the goal of this workshop to bring together mathematicians, physicists, and engineers who work in the area of Mathematical Analysis of Turbulence. We expect this workshop will attract junior as well as senior participants.

This workshop will include a poster session; a request for posters will be sent to registered participants in advance of the workshop.

Organizing Committee

Peter Constantin (Princeton University)
Gregory Eyink (Johns Hopkins University)
Michael Jolly (Indiana University)
Anna Mazzucato (Pennsylvania State University, Mathematics)