Singularity Formation in Nonlinear PDEs (Online) (21w5503)


(University of Bath)

Bob Jerrard (University of Toronto)

(University of British Columbia)


The Banff International Research Station will host the "Singularity Formation in Nonlinear PDEs" online workshop in Banff, from September 26 to October 1, 2021.

This five-day workshop gathers world-wide expert in formation of singularities in several different mathematical models that involve partial differential equations (PDEs). These equations arise in situations as diverse as the long-term evolution of temperature and winds on earth surface due to climate change, the spreading of a tumor, changes of light’s behavior near a black hole, the evolution of stock markets or the shape an ice mountain takes as it melts. Solutions to PDE can be interpreted as attainable situations. They may exhibit "singularities", namely places or instants where they "blow-up" or exhibit irregular behavior. Examples abound in nature: one may think of the breaking of a wave, the formation of black holes, meteorological phenomena such as tornados; similar phenomena are found in physical phenomena such as liquid crystal and superconductivity. It is of enormous interest to predict "how" and "when" singularities occur, since they indicate situations where the original model collapses. Similar PDEs can model natural phenomena that appear to be completely different, which makes them an intriguing and complex object of study.

The main purpose of this workshop is to share high quality information related to the contemporary research in the fields of partial differential equations, dispersive equations and geometric flows, with the objective of working on common research problems and favoring the formation of students and young researchers.

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).