Evolution equations of physics, fluids, and geometry: asymptotics and singularities (12w5137)

Arriving in Banff, Alberta Sunday, September 9 and departing Friday September 14, 2012


(University of British Columbia)

(University of British Columbia)

(University of Victoria)

(Courant Institute)

Kenji Nakanishi (Kyoto University)

(University of British Columbia)


The Banff International Research Station will host the "Evolution equations of physics, fluids, and geometry: asymptotics and singularities" workshop from September 9th to September 14th, 2012.

Nonlinear evolution equations model dynamical processes throughout the sciences: from quantum systems, to the formation of black holes; from turbulence in fluids, to the collapse of a laser beam. It is a major mathematical challenge to understand basic properties - such as the formation of singularities, or the long-time behaviour - of solutions of such equations, and one which calls for a wide variety of mathematical tools, ranging from computer simulations to deep theoretical analysis. Our workshop brings together leading experts on such equations, from around the world, with the goal of learning and improving upon state-of-the-art knowledge in this field, and ultimately of furthering understanding of the diverse underlying physical phenomena.

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).