Nonlocal differential equations in collective behavior

June 18 to June 22, 2018

at the

American Institute of Mathematics, San Jose, California

organized by

Jose A. Canizo, Jose A. Carrillo, Mar Gonzalez, and Maria Gualdani

Original Announcement

This workshop will be devoted to the qualitative behaviour of some nonlocal equations, mainly stemming from collective behavior models and kinetic theory. Some of these equations, like the aggregation equation, have received attention only relatively recently, while others are classical equations in mathematical physics, such as the Landau or Boltzmann equations. A theory of existence of regular solutions, asymptotic behavior, and derivation from particle systems are open problems in many instances and will be the focus of the workshop.

The main topics for the workshop are:

  1. The qualitative behavior of the aggregation equation and long-time asymptotics.
  2. Mean-field limit derivation of nonlocal equations, and their analysis.
  3. Models in collisional kinetic theory, specially the Landau equation.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Workshop Videos