New Mechanisms for Regularity, Singularity, and Long Time Dynamics in Fluid Equations (21w5110)

Organizers

(University of Minnesota)

Jacob Bedrossian (University of Maryland)

Alexandru Ionescu (Princeton University)

Alexander Kiselev (Duke University)

Description

The Banff International Research Station will host the "New Mechanisms for Regularity, Singularity, and Long Time Dynamics in Fluid Equations" workshop in Banff from July 25 to July 30, 2021.


Partial differential equations (PDEs) inspired by dynamics of incompressible fluid are among the oldest PDEs that were studied, due to their importance in science and engineering. Mathematically understanding the fundamental equations such as Euler and Navier Stokes equations remain challenging. Recently, new mechanisms were discovered that led to significant progresses in several classical problems, including nonlinear asymptotic stability of coherent structures, possible formation of singularities near boundaries, and uniqueness issue of weak solutions.

The workshop brings together top experts in the field, and creates an environment where all the latest ideas, intuition and techniques can be shared and refined. Another important goal of the proposed workshop is to introduce junior researchers to a highly active area of research in PDEs of fluid dynamics. We will give preferences to young researchers when inviting speakers to the workshop.


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).