Deterministic and stochastic Navier-Stokes equations

March 14 to March 18, 2005

at the

American Institute of Mathematics, Palo Alto, California

organized by

Yakov Sinai and Jonathan Mattingly

This workshop, sponsored by AIM and the NSF, will discuss global solutions to the Navier Stokes equation. The main goal of the workshop is improved understanding of the three dimensional initial problem. A number of other settings will be discussed which can inform the discussion including: stochastic and stationary solutions in two and three dimentions, the structure of invariant measures, and simplified model problems. Experts in numerical simulations will participate in the discussion to lend intuition and inform the analytic discussions with the wealth of numerical experiments which have been performed.

The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and working sessions.

Invited participants include S. Abarzhi, M. Cannone, J.-Y. Chemin, S. Chen, P. Constantin, G. Eyink, C. Fefferman, S. Friedlander, U. Frisch, I. Gallagher, Y. Giga, K. Khanin, H. Kreiss, A. Mahalov, J. Mattingly, N. Pavlovic, F. Planchon, B. Rozovskii, G. Seregin, A. Shnirelman, Y. Sinai, A.-S. Sznitman, E. Titi, E. Vanden-Eijnden, M. Vishik, and V. Yakhot.

The deadline to apply for support to participate in this workshop has passed.

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