for this workshop
Nonlocal differential equations in collective behavior
American Institute of Mathematics, San Jose, California
Jose A. Canizo, Jose A. Carrillo, Mar Gonzalez, and Maria Gualdani
This workshop, sponsored by AIM and the NSF, 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.
The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.
The deadline to apply for support to participate in this workshop has passed.
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