at the

American Institute of Mathematics, Palo Alto, California

organized by

Nathan Glatt-Holtz, Boris Rozovskii, Roger Temam, and Joseph Tribbia

This workshop, sponsored by AIM and the NSF, will be devoted to the mathematical foundations, physical underpinnings and applications of large scale stochastic models for climate and weather.

Ever since the pioneering work of Bjerknes and Richardson at the turn of the 20th century and culminating in the first modern numerical simulations of the climate by John Von Neumann and his school in the 1950s and 1960s, mathematics and the geosciences have found fruitful interactions through the famous Euler, Navier-Stokes, and advection-diffusion equations and their geophysical counterparts the Boussinesq and Primitive Equations. Today, given the complex, uncertain, multi-scale nature of our earth's climate system it is not surprising that stochastic methods have become increasingly fundamental in the study of Geophysical Fluid Dynamics. This meeting will therefore facilitate the continued cross-pollination of ideas between scientific communities by bringing together experts in the mathematical theory of the equations of liquids and gases and of stochastic evolution equations with experts in geosciences who work on numerical simulations of large scale models of the earth's oceanic-atmospheric system.

The meeting will be organized around the following interconnected themes which stand at the forefront of current research

- The analytical and stochastic theory of the equations of fluid dynamics and of the atmosphere and the oceans.
- The qualitative theory and the long time behavior of solutions.
- The numerical analysis of finite and infinite dimensional stochastic evolution equations.
- The statistical theory of parameter and state estimation in noisy dynamical systems.
- The physical foundations and heuristics for the use of stochastics in geophysical scale models of fluid flow.

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 parallel working sessions.

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

For more information email *workshops@aimath.org*

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