Localisation

Adresse

Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
3 place Victor Hugo
Case 19
13331 Marseille Cedex 3

Minimizing Interaction Energies




Date(s) : 09/09/2014   iCal
11h00 - 12h00

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/works in preparation one together with F. Patacchini, J.A. Cañiizo, another one with M. Delgadino and A. Mellet, and finally with M. Chipot and Y. Huang.

José Antonio CARRILLO

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