Recent Progress in Kinetic and Integro-Differential Equations (22w5101)


(Texas State University)

Maria Gualdani (University of Texas Austin)

(Michigan State University)

Maja Taskovic (Emory University)


The Banff International Research Station will host the "Recent Progress in Kinetic and Integro-Differential Equations" workshop in Banff from November 6 - 11, 2022.

This is a gathering of experts to discuss the state of the art in the mathematical analysis of kinetic equations such as the Boltzmann equation, models derived from it, as well as the class of integro-differential equations that include generators of Levy processes and fractional powers of the Laplacian. The workshop includes a mini course covering developments from the last 5 years. This course is chiefly aimed at graduated students, but should also be of benefit to early-career and senior researchers alike.

Kinetic equations model the statistical configuration of physical systems, from gases to plasmas. They are used to model phenomena in engineering, nuclear physics, astrophysics, and more. The scale at which kinetic equations describe physical phenomena is very small while remaining at a classical (that is non-quantum) scale. Many important equations in classical continuum mechanics, such as the Navier Stokes equations for an incompressible viscous fluid, or the Euler equations for inviscid flows, can be extracted out of these kinetic equations.

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).