Nonlocal differential equations in collective behavior
June 18 to June 22, 2018
American Institute of Mathematics,
San Jose, California
Jose A. Canizo,
Jose A. Carrillo,
and Maria Gualdani
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:
- The qualitative behavior of the aggregation equation and long-time asymptotics.
- Mean-field limit derivation of nonlocal equations, and their analysis.
- 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.