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Graduate Workshop: New Trends in Mathematical Fluid Dynamics: March 28 – April 1, 2022

Organized by:

Theodore D. Drivas (Stony Brook University),

Sam Punshon-Smith (Tulane),

Francisco Torres de Lizaur (university of Toronto)

Workshop Schedule

The purpose of this course is to introduce graduate students to state-of-the-art methods, results, and open problems in mathematical fluid dynamics. We will discuss the mathematical foundations and modern analysis aspects of the Navier-Stokes and Euler equations. Special topics that we will discuss include geometrical aspects of ideal fluids, hydrodynamic (in)stability, the theory of fully developed turbulence, creation of small scales, stochastic and deterministic methods for mixing and chaos, and long-term behavior in fluid flow.

The workshop is funded by the National Science Foundation through an RTG grant to the Simons Center and the Department of Mathematics.

 

Talk Schedule


Time Title Speaker Location
9:00am Introduction to perfect fluid flow Theodore Drivas SCGP 102
10:30am coffee break N/A SCGP Cafe
11:00am Arnold’s geometric formulation Francisco Torres de Lizaur SCGP 102
12:30pm Lunch N/A SCGP Cafe
2:00pm Properties of Vorticity and Helicity Francisco Torres de Lizaur SCGP 102
3:30pm Break N/A SCGP Cafe
4:00pm Introduction to Navier Stokes Sam Punshon-Smith SCGP 102

Time Title Speaker Location
9:00am Structure of 3D Steady states Francisco Torres de Lizaur SCGP 102
10:30am coffee break N/A SCGP Cafe
10:45am 2D fluid motion at long times Theodore Drivas SCGP 102
12:15pm Lunch N/A SCGP Cafe
1:00pm Weekly Talk: Chaotic mixing of scalars and Batchelor spectrum in stochastically forced fluid mechanics Sam Punshon-Smith

 

SCGP 102
2:00pm Chaotic mixing of Lagrangian flows: Part I Sam Punshon-Smith SCGP 102
3:30pm Break N/A SCGP Cafe
4:00pm Chaotic mixing of Lagrangian flows: Part II Sam Punshon-Smith SCGP 102

Time Title Speaker Location
9:00am KAM and flexibility Francisco Torres de Lizaur SCGP 102
10:30am coffee break N/A SCGP Cafe
11:00am Introduction to turbulence theories Theodore Drivas SCGP 102
12:30pm Lunch N/A SCGP Cafe

Time Title Speaker Location
9:00am ctors representing turbulent flows  Theodore Drivas SCGP 102
10:30am coffee break N/A SCGP Cafe
11:00am bility and bifurcations in Kolmogorov flow  Theodore Drivas SCGP 102
12:30pm Lunch N/A SCGP Cafe
2:00pm Eulerian Chaos: Part I Sam Punshon-Smith SCGP 102
3:30pm Break N/A SCGP Cafe
4:00pm Eulerian Chaos: Part II Sam Punshon-Smith SCGP 102

Time Title Speaker Location
9:00am TBD Francisco Torres de Lizaur SCGP 102
10:30am coffee break N/A SCGP Cafe
11:00am All of us Open problems session N/A N/A
12:30pm Lunch N/A SCGP Cafe