The INI has a new website!

This is a legacy webpage. Please visit the new site to ensure you are seeing up to date information.

Skip to content



Regularity of local minimizers of the interaction energy via obstacle problems.

Carrillo, J (Imperial College London)
Wednesday 04 June 2014, 14:00-15:00

Seminar Room 2, Newton Institute Gatehouse


Local minimizers of the interaction energy present a very rich structure. We show that if the repulsion at the origin is strong enough but integrable, then the local minimizers are in fact regular, at least bounded probability densities, and they satisfy an implicit obstacle problem. This is the key to establish also uniqueness of global minimizers upto translations in some particular case. This is a work in collaboration with M. Delgadino and A. Mellet.


The video for this talk should appear here if JavaScript is enabled.
If it doesn't, something may have gone wrong with our embedded player.
We'll get it fixed as soon as possible.

Back to top ∧