Workshop I: Mathematical Analysis of Turbulence - IPAM

Workshop I: Mathematical Analysis of Turbulence

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

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, September 29, 2014

Morning Session

08:00-08:55
Check-In/Light Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
09:00-09:50
Peter Constantin (Princeton University)
Title not available
10:00-10:15
Break
10:15-11:05
Vlad Vicol (Princeton University)
Holder Continuous Solutions of Active Scalar Equations
11:15-11:30
Break
11:30-12:20
Jiahong Wu (Oklahoma State University)
The 2D MHD equations with partial dissipation

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Koji Ohkitani (University of Sheffield)
Extinction and blowup of weak solutions to the Navier-Stokes equations
15:30-15:45
Break
15:45-16:35
Bartosz Protas (McMaster University)
Extreme Vortex States and the Hydrodynamic Blow-up Problem
16:45-18:30
Poster Session & Reception (Hosted by IPAM)

Tuesday, September 30, 2014

Morning Session

08:00-09:00
Check-In/Light Breakfast (Hosted by IPAM)
09:00-09:50
Thomas Hou (California Institute of Technology)
Potentially singular solutions of the 3D axisymmetric Euler equations
10:00-10:15
Break
10:15-11:05
John Bowman (University of Alberta)
How Important is Dealiasing for Turbulence Simulations?
11:15-11:30
Break
11:30-12:20
Natalia Vladimirova (University of New Mexico)
Nonlocal turbulent cascades in 2D Gross-Pitaevskii (nonlinear Schrodinger) equation

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Aseel Farhat (University of Virginia)
A New Data Assimilation Algorithm for the 2D Benard Convection Model and the 3D -Models of Turbulence
14:00-14:50
Aseel Farhat (University of Virginia)
A New Data Assimilation Algorithm for the 2D Benard Convection Model and the 3D -Models of Turbulence
15:00-15:15
Break
15:15-16:05
Hakima Bessaih (University of Wyoming)
Uniqueness by random perturbation: The Leray-alpha model of Euler equation
16:15-16:30
Break
16:30-17:20
Nathan Glatt-Holtz (Virginia Tech)
The Stochastic Boussinesq Equations and Connections with Turbulent Convection

Wednesday, October 1, 2014

Morning Session

08:00-09:00
Check-In/Light Breakfast (Hosted by IPAM)
09:00-09:50
Edriss Titi (Weizmann Institute of Science)
A Revisit of $\alpha-$models of Turbulence
09:00-09:50
Edriss Titi (Weizmann Institute of Science)
A Revisit of $\alpha-$models of Turbulence
10:00-10:15
Break
10:15-11:05
Marie Farge (CNRS/École Normale Supérieure, Paris)
Production of dissipative vortices by solid bodies in incompressible fluid flows: comparison between Prandtl, Navier-Stokes and Euler solutions
11:15-11:30
Break
11:30-12:20
Robert Ecke (Los Alamos National Laboratory)
The Geostrophic Regime of Rotating Rayleigh-Benard Convection: Heat Transport and Local Properties

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Zoran Grujic (University of Virginia)
Turbulent transport and dissipation of vorticity in the 3D NSE
15:00-15:15
Break
15:15-16:05
Radu Dascaliuc (Oregon State University)
Energy cascades and scaling properties of non-homogeneous Navier-Stokes equations
16:15-16:30
Break
16:30-17:20
Jinqiao Duan (Illinois Institute of Technology)
Normal Diffusion vs. Anomalous Diffusion --- A Tale of Two Laplacians
16:30-17:20
Jinqiao Duan (Illinois Institute of Technology)
Normal Diffusion vs. Anomalous Diffusion --- A Tale of Two Laplacians

Thursday, October 2, 2014

Morning Session

08:00-09:00
Check-In/Light Breakfast (Hosted by IPAM)
09:00-09:50
David Levermore (University of Maryland)
Incompressible Navier-Stokes and well-posedness explored through special solutions
10:00-10:15
Break
10:15-11:05
Hussein Aluie (University of Rochester)
Analyzing Scale-Coupling in Compressible Turbulence
11:15-11:30
Break
11:30-12:20
Helena Nussenzveig Lopes (Federal University of Rio de Janeiro)
On the convergence of 2D second-grade fluid equations to Euler equations in bounded domains

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Igor Kukavica (University of Southern California (USC))
Analyticity properties for the Navier-Stokes and related systems
15:00-15:15
Break
15:15-16:05
Animikh Biswas (University of Maryland Baltimore County)
Navier-Stokes equations in a Constantin-Chen class of functional spaces
16:15-16:30
Break
16:30-17:20
Vladimir Sverak (University of Minnesota, Twin Cities)
On various model equations

Friday, October 3, 2014

Morning Session

08:00-09:00
Check-In/Light Breakfast (Hosted by IPAM)
09:00-09:50
Alan Newell (University of Arizona)
Wave turbulence: A story far from over
10:00-10:15
Break
10:15-11:05
Ricardo Rosa (Instituto de Matemática - Universidade Federal do Rio de Janeiro)
Abstract framework for statistical solutions of evolution equations
11:15-11:30
Break
11:30-12:20
Anna Mazzucato (Penn State University)
Enstrophy dissipation in 2D incompressible fluids

Afternoon Session

12:30-14:00
Lunch (on your own)
14:00-14:50
Michael Jolly (Indiana University)
Effect of vorticity coherence on energy-enstrophy bounds for the 3D Navier-Stokes equations
15:00-15:15
Break
15:15-16:05
Gregory Eyink (Johns Hopkins University)
Spontaneous Stochasticity and Anomalous Dissipation
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