Ergodicity in Nonlinear Stochastic Partial Differential Equations with Applications in Turbulent Geophysical Flows (16rit688)

Organizers

(University of Rochester)

(Université libre de Bruxelles)

Nathan Glatt-Holtz (Tulane University)

Jared Whitehead (Brigham Young University)

Description

The Banff International Research Station will host the "Ergodicity in Nonlinear Stochastic Partial Differential Equations with Applications in Turbulent Geophysical Flows" workshop in Banff from October 16, 2016 to October 23, 2016


This Research in Teams workshop will focus on the development of theory and technique in the analysis of stochastic partial differential equations (SPDEs) appearing in fluid mechanics, particularly in turbulent geophysical flows. Classical theories of turbulence rest on mathematical assumptions (such as ergodic hypotheses) which can be difficult to justify at the level of deterministic model equations. However, there is emerging theory in SPDEs which provides a rigorous foundation for some of these assumptions. Our Research in Teams workshop will contribute to directions in the analysis of SPDEs for which the inclusion stochastic forcing is justified from physical heuristics, and such that this randomness
provides a means for solving previously intractable problems. The specific directions we will consider are: (i) Classification of ergodic statistically invariant states in nonlinear SPDEs, (ii) The study of physically relevant singular parameter limits (such as the infinite Prandtl limit in convective flows), and (iii) The development of estimates on robust statistics from invariant states.


The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).