BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The Gradient Flow Structure of the Landau Equation - Jeremy Wu (Un
 iversity of Oxford)
DTSTART:20220316T150000Z
DTEND:20220316T160000Z
UID:TALK171509@talks.cam.ac.uk
CONTACT:Daniel Boutros
DESCRIPTION:The Landau equation was proposed as the 'grazing collision lim
 it' of the Boltzmann equation to account for the singularities in this reg
 ime of colliding particles. Inspired by Erbar's gradient flow description 
 of the Boltzmann equation for Maxwellian kernels\, I will present an analo
 gous gradient flow perspective of the Landau equation for Maxwellian and s
 oft potential kernels down to\, but excluding the physically relevant\, Co
 ulomb kernel.  In particular\, I will show how the Landau equation can be 
 viewed as the gradient descent of the Boltzmann entropy with respect to a 
 tailor-made metric generalising the dynamic viewpoints of optimal transpor
 t metrics from Benamou and Brenier. I hope that this alternative viewpoint
  of the Landau equation can motivate new ideas and techniques coming from 
 gradient flow\ntheory to attack its open problems. This is joint work with
  José A. Carrillo\, Matias Delgadino\, and Laurent Desvillettes.
LOCATION:MR3
END:VEVENT
END:VCALENDAR