Stochastics in geophysical fluid dynamics

February 4 to February 8, 2013

at the

American Institute of Mathematics, Palo Alto, California

organized by

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

Original Announcement

This workshop 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

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

Papers arising from the workshop:
Suboptimal Control of Nonlinear Parabolic PDEs
Adaptive Wick-Malliavin approximations to nonlinear SPDEs with discrete random forsing
Wick-Malliavin approximations to nonlinear stochastic partial differential equations: analysis and simulations