Previous Conferences & Workshops

Abstract: I will present a new approach to the isometric embedding problem. The main new idea is to use the theory of stochastic flows in combination with various possible gradient flow structures. These ideas are motivated by the statistical...

Abstract: The purpose of this work is to perform a mathematically rigorous study of Lagrangian chaos and "passive scalar turbulence" in incompressible fluid mechanics. We study the Lagrangian flow map associated to 2D Navier-Stokes and hyper-viscous...

Abstract: We consider a class of dynamical systems described by ordinary differential equations with an isolated singularity, where the singularity is characterized by the lack of Lipschitz continuity. Singularities are common in applications both...

Abstract: I will discuss the recent non-uniqueness result with Vlad Vicol on the non-uniqueness of weak solutions to the Navier-Stokes equations, as well as the follow up paper by myself, Maria Colombo and Vicol. I hope to phrase the results within...

5 minutes each:Steve Childress (NYU)Camillo de Lellis (IAS)Yakov Sinai (Princeton University/IAS)Jalal Shatah (NYU)Larry Sirovich (Rockefeller)John Wettlaufer (Yale University)

Abstract: I will discuss some preliminary work on using machine learning
to produce turbulence models that can be used in large eddy simulation.
I will discuss how better models can be constructed and in general,
how one can use machine learning to...

Abstract: The confounding question of asymptotically high Rayleigh number heat transport in Rayleigh-Bénard convection modeled by the Boussineq approximation to the Navier-Stokes equations is reviewed from viewpoints of theory (models of the model)...

We are interested in moments of velocity increments and derivatives, characterized by scaling exponents overline{(v(x + r) − v(x))n} ∝ r^ζn and overline{(∂xvx)n} ∝ Re^ρn , respectively. In high Reynolds number flows, the moments of different orders...