Small Scale Dynamics in Fluid Motion: June 13-24, 2022

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Participant ListWeek 1 ScheduleWeek 2 ScheduleView Videos

Organized by:

Theodore D. Drivas (Stony Brook University),

Tarek M. Elgindi (Duke University),

Dennis Sullivan (Stony Brook University – Math)

Turbulent flows are ubiquitous in the world around us; from trailing airplane wakes to swirling cream in our morning coffee. Despite its prevalence, basic mathematical questions about this complex non-linear phenomenon persist. The purpose of this workshop is to bring together people working on different aspects of fluid dynamics which are experiencing a flourish of recent activity. These include geometric hydrodynamics, finite-time singularity formation, non-uniqueness of singular solutions, rigorous approaches to turbulence laws and novel approaches to modeling and simulation.

The workshop will be broken down into two weeks. Week one will focus on Dynamical and geometric aspects of fluids while week two will be Singularities and Turbulence.

This workshop is part of the program: Singularity and Prediction in Fluids: May 31-July 1, 2022.

Week 1 Talk Schedule


Time Title Speaker Location
9:00am Introduction to workshop N/A SCGP 102
9:30am Spontaneous stochasticity and renormalization group in discrete multi-scale dynamics
 Alexei Mailybaev
 SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Using regularity to estimate Lyapunov exponents Sam Punshon-Smith SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:30pm Critical Sobolev ill-posedness for incompressible Euler In-Jee Jeong SCGP 102
2:30pm Zeitlin’s model: old and new
 Klas Modin SCGP 102
3:30pm Coffee Break N/A SCGP Cafe
4:00pm Discussion/Open problem N/A SCGP 102

Time Title Speaker Location
9:00am based approach for time-correlated  closures of turbulence models Julia Domingues Lemos SCGP 102
9:30am Onsager Theory for Momentum Cascade in Wall-Bounded Tubulence Gregory Eyink Zoom
10:30am Coffee Break N/A SCGP Cafe
11:00am Invariant manifolds in the Euler equation
 Paco Torres de Lizaur
 SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:30pm On self-similar singular solutions of the De Gregorio model Vladmir Sverak SCGP 102
2:30pm On stable solutions to the Euler equations in convex planar domains Bian Wu SCGP 102
3:30pm Coffee Break N/A SCGP Cafe
4:00pm Discussion/Open problems N/A SCGP 102

Time Title Speaker Location
9:00am TBA
 Karim Khalil
 SCGP 102
9:30am Potentially singular behavior of 3D incompressible Navier-Stokes equations Tom Hou Zoom
10:30am Coffee Break N/A SCGP Cafe
11:00am Smooth Imploding Solutions for 3D Compressible Fluids Tristian Buckmaster Zoom
12:00pm Lunch N/A SCGP Cafe
1:30pm Hamiltonian geometry and the golden ratio in the Euler hydrodynamics Boris A. Khesin Zoom
2:30pm Lagrangian complexity in 3D steady Euler flows. Daniel Peralta-Salas SCGP 102
3:30pm Coffee Break N/A SCGP Cafe
4:00pm Discussion/Open problems N/A SCGP 102

Time Title Speaker Location
9:00am Two-Point Boundary Value Problems on Diffeomorphism Groups Patrick Heslin SCGP 102
9:30am Conjugate points in fluid motion Gerard Misiolek SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Conjugate point criteria in 2D hydrodynamics Steve Preston Zoom
12:00pm Lunch N/A SCGP Cafe
1:30pm TBA
 Uriel Frisch
 Zoom
2:30pm Asymptotic geometry and asymptotic dynamics of 2-d ideal incompressible fluid
 Alexander Schnirelman
 Zoom
3:30pm Coffee Break N/A SCGP Cafe
4:00pm Discussion/Open Problems N/A SCGP 313

Time Title Speaker Location
9:00am On the steady states of 2D incompressible Euler Equations near Bahouri-Chemin Patch
 Yupei Huang
 SCGP 102
9:30am Renormalization of Dynamical Systems. Jonguk Yang SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Discussion N/A SCGP 102
11:30am Lunch N/A SCGP Cafe


Week 2 Talk Schedule


Time Title Speaker Location
9:00am Introduction to workshop N/A SCGP 102
9:30am TBA
 Peter Constantin
 SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am An Intermittent Onsager Theorem Matt Novak SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:30pm Exponential mixing for Pierrehumbert’s alternating sine-shear flow with random phase shifts Alex Blumenthal SCGP 102
2:30pm On Moffatt’s Magnetic Relaxation Equations Susan Friedlander Zoom
3:30pm Coffee Break N/A SCGP Cafe
4:00pm The stability of model shocks and the Landau law of decay Daniel Ginsberg SCGP 102

Time Title Speaker Location
9:00am Non-unique trajectories of Hamiltonian vector fields
 Vikram Giri
 SCGP 102
9:30am A model for random Euler and Navier Stokes equations based on a randomized splitting of the dynamics Jonathan Mattingly SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Non-uniqueness of Leray solutions of the forced Navier-Stokes equations
 Dallas Albritton
 SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:30pm Long Time Behavior of Electroconvection Models
 Mihaela Ignatova
 SCGP 102
2:30pm Regularity of vortex and SQG patches
 Alexander A. Kiselev
 SCGP 102
3:30pm Coffee Break N/A SCGP Cafe
4:00pm Singularity formation in the Boussinesq equations
 Federico Pasqualotto
 SCGP 102

Time Title Speaker Location
9:00am Optimizing scalar transport using branching pipe flows
 Anuj Kumar SCGP 102
9:30am Mean flow and fluctuations in two opposing limits of quasi-geostrophic flow Anna Frishman SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Nonlinear inviscid damping and shear-buoyancy instability in the two-dimensional Boussinesq equations Michele Coti Zelati SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:30pm Multi-mode correlations as signature of turbulence. Gregory Falkovich SCGP 102
2:30pm Irregular transport and loss of regularity for transport equations. Anna Mazzucato SCGP 102
3:30pm Coffee Break N/A SCGP Cafe
4:00pm Stabilizing phenomena for incompressible fluids
 Jiahong Wu
 SCGP 102
6:00pm Banquet N/A N/A

Time Title Speaker Location
9:00am The inviscid limit of Navier-Stokes for domains with curved boundaries
 Trinh Nguyen
 SCGP 102
9:30am The geometry of shock formation for Euler Steve Shkoller Zoom
10:30am Coffee Break N/A SCGP Cafe
11:00am Formation and development of singularities for the compressible Euler equations
 Vlad Vicol
 SCGP 102
12:00pm Lunch N/A SCGP Cafe
1:30pm nisms for energy conservation in Onsager (super)critical fluids
 Roman Shvydkoy SCGP 102
2:30pm On maximally mixed equilibria of two-dimensional perfect fluids
 Michele Dolce
 SCGP 102
3:30pm Coffee Break N/A SCGP Cafe
4:00pm The zero homogeneous Euler equation: long time behaviour and ageing in fluids
 Ayman Said
 SCGP 102

Time Title Speaker Location
9:00am On zonal steady solutions to the 2d Euler equations
 Marc Nualart
 SCGP 102
9:30am Suppression of Chemotactic Blow-up through Flows Siming He
 SCGP 102
10:30am Coffee Break N/A SCGP Cafe
11:00am Quantitative convergence to equilibrium and some partial dissipation results for Euler-like SDE Kyle Liss SCGP 102
12:00pm Lunch N/A SCGP Cafe