University of Cambridge > Talks.cam > Cambridge Analysts' Knowledge Exchange > Asymptotic behaviour of diffusing and self-attracting particles

  Browse A-Z

Log in

Googledetails Microsoftdetails

🔐 Log In

Information on

Subscribing to talksdetails Finding a talkdetails Adding a talkdetails Disseminating talksdetails Help and Documentationdetails

ℹ️ Information

Asymptotic behaviour of diffusing and self-attracting particles

Download to your calendar using vCal

If you have a question about this talk, please contact Adam Kashlak .

We study interacting particles behaving according to a reaction-diffusion equation with non-linear diffusion and non-local attractive interaction. This class of equations has a very nice gradient flow structure that allows us to make links to variations of well-known functional inequalities (Hardy-Littlewood-Sobolev inequality, logarithmic Sobolev inequality). Depending on the non-linearity of the diffusion, the choice of interaction potential and the dimensionality, we obtain different regimes. Our goal is to understand better the asymptotic behaviour of solutions in each of these regimes, starting with the fair-competition regime where attractive and repulsive forces are in balance. This is joint work with José A. Carrillo and Vincent Calvez.

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

This talk is included in these lists:

Note that ex-directory lists are not shown.

Other lists

Downing College Free Essay Writer SG1, CRASSH Alison Richard Building, 7 West Road, Cambridge, CB3 9DT

Other talks

Overview of treatment for non-small cell lung cancer A Data-Centric Approach to AI Adaptation and Alignment Title to follow Illegal trade in the North Atlantic Polar Oceans Seminar Talk Director's Welcome
 

© 2006-2025 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity