Organized by:
Theodore D. Drivas (Stony Brook University),
Sam Punshon-Smith (Tulane),
Francisco Torres de Lizaur (university of Toronto)
Workshop ScheduleThe 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 |
