Mathematics Colloquium: Does the Boltzmann equation blow-up?

Speaker: Chris Henderson, University of Maryland

Title: Does the Boltzmann equation blow-up?

Abstract:  Hilbert's sixth problem is to connect microscopic particle dynamics, which follow Newton's laws, to macroscopic equations like the Navier-Stokes and Euler equations.  A crucial tool in this program sits at the intermediate scale: the Boltzmann equation.  It connects spatial dynamics on large scales with the velocities of individual particles undergoing collisions.  The fundamental question of whether solutions exist for all time or blow-up is completely open.  During this talk, I will overview the evidence for both, allowing you to make your own prediction about this.  In the end, will you root for Team Global Boundedness or Team Blow-up?

Time:  Friday, October 9, 4:00pm – 5:00pm

Place:  Exploratory Hall, room 4106 or Zoom