Small scale dynamics in incompressible fluid flows

November 6 to November 10, 2023

at the

American Institute of Mathematics, Pasadena, California

organized by

Tarek Elgindi, Aseel Farhat, Anna Mazzucato, and Wojciech Ozanski

Original Announcement

This workshop will be devoted to the study of hydrodynamics, which leads to a variety of challenging mathematical issues touching on different areas of mathematics, such as partial differential equations, harmonic analysis, and dynamical systems. Recent developments have shed light on the chaotic behavior observed in turbulent flows, the role of criticality in ill-posedness results, singularity formation in finite time of classical solutions, and the relation between irregularity, instability, and non-uniqueness of solutions.

The primary aim of the workshop is to bring together leading experts in the mathematical theory of hydrodynamics models, and to stimulate extensive discussions of recent developments and possible future research directions. The major focus of the workshop will be on the mathematical investigation of small-scale dynamics in fluid flows, and their role in emerging singularities and turbulent flows, with the objective of developing a rigorous theory consistent with the computational simulations and the observed phenomenology of turbulence.

Topics:

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Workshop videos