Turbulent and laminar flows in two dimensions: March 20 – April 21, 2017

Organized by: Gregory Falkovich and Alexander Zamolodchikov

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Fluid mechanics in two dimensions has wide range of applications and possesses unique mathematical properties which are far from being fully explored and used. 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.

On the other hand, 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.

The program is to be a place where turbulence theoreticians can meet field theorists and mathematicians to facilitate development of a common theoretical framework. In addition, representatives of plasma, solid-state, astro and geo-physics are welcome to participate and facilitate applications of the theory to different real-world phenomena.

This program is also hosting a workshop Fluid flows: from graphene to planet atmospheres: March 20-24, 2017.

The Organizer Gregory Falkovich will also be hosting a mini-course: Modern Fluid Mechanics: From viscous electronics in graphene to conformal invariance and anomalies in turbulence


Program Talk Schedule

Date Time Title Speaker Location
Tues. March 28 11:00 am El Niño as a Topological Insulator: A Surprising Connection Between Geo-, and Quantum, Physics Brad Marston SCGP 313

Date Time Title Speaker Location
Wed. April 5 11:00 pm Modern Fluid Mechanics: mini course Gregory Falkovich SCGP 313

Date Time Title Speaker Location
Tues. April 11 10:30 am Laminar Flows Informal Talk TBA SCGP 313
Wed. April 12 11:00 am Modern Fluid Mechanics: mini course TBA SCGP 313

Date Time Title Speaker Location
Mon. April 17 11:00 am Turbulent and laminar flows in two dimensions TBA SCGP 313
Tues. April 18 11:00 am Instabilities, turbulence and anomalies TBA SCGP 313