Minimizing interacting energies

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• José Antonio Carrillo, Imperial College London
• Monday 09 February 2015, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Amit Einav.

I will start by reviewing some recent results on qualitative properties of local minimizers of the interaction energie to motivate the main topic of my talk: to discuss global minimizers. We will show the existence of compactly supported global miminizers under quite mild assumptions on the potential in the complementary set of classical H-stability in statistical mechanics. A strong connection with the classical obstacle problem appears very useful when the singularity is strong enough at zero. An approach from discrete to continuum is also quite nice under convexity assumptions on the potential. This is based on three preprints: one together with F. Patacchini, J.A. Cañiizo, another one with M. Delgadino and A. Mellet, and finally with M. Chipot and Y. Huang.

This talk is part of the Partial Differential Equations seminar series.

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