Organized by: Gregory Falkovich, Alexander Zamolodchikov and Leonid LevitovApply to a Workshop Now
Fluid mechanics in two dimensions has wide range of applications and possesses unique mathematical properties which are far from being fully explored and used.
Even laminar and regular flows in two dimensions are of great interest ranging from microfluidics to emerging hydrodynamics of current flows in graphene. This latter subject requires the development of relativistic hydrodynamics.
A landmark feature of turbulence in two dimensions is an inverse cascade, that is an appearance of large vortices and jets out of multi-scale random flow. It is the most significant and most surprising discovery in turbulence in the last fifty years. We still have no adequate conceptual framework for this counter-intuitive process of self-organization. Several inverse cascades demonstrate conformal invariance, found empirically and still having no theoretical explanation. After the inverse cascade reaches the system size, it creates a coherent flow sometimes called condensate. Interaction of turbulence and condensate is presently one of the most active fields of turbulence research. Apart from fundamental importance, inverse turbulence cascades and condensates are ubiquitous features of astrophysical, geophysical and industrial flows, from planet atmospheres to tokamak plasma.
The workshop will have sessions on
1) viscous flows in strongly-interacting systems, including electrons in graphene,
2) mathematical aspects of fluid mechanics,
3) turbulence-flow interaction,
4) applications in geophysics, astrophysics and plasma physics.
The workshop is to be a place where representatives of plasma, solid-state, astro and geo-physics can meet fluid mechanists, field theorists and mathematicians. The goal is to facilitate development of a common theoretical framework and applications of the theory to different real-world phenomena.
The workshop is also a launch of the program Turbulent and laminar flows in two dimensions: March 20 – April 21, 2017
Application deadline: January 20, 2017 (or when event is at maximum capacity). Applicants will be notified soon after this date of their acceptance.