Monthly Archives: February 2017


日時: 平成29年4月5日(水) 16:00-17:00
場所: 京都大学 桂キャンパスCクラスタ総合研究棟III(C3棟) 3階 b3n03室(航空宇宙工学専攻会議室)
講演: Swarming Models with Repulsive-Attractive Effects
Prof. Jose Antonio Carrillo (Department of Mathematics, Imperial College London, UK)
要旨: I will present a survey of the main results about first and second order models of swarming where repulsion and attraction are modeled through pairwise potentials.  We will mainly focus on the stability of the fascinating patterns that you get by random data particle simulations, flocks and mills, and their qualitative behavior. I will give an overview of the different levels of description of collective behavior models highlighting some of the interesting mathematical open problems in the subject. Calculus of variations, dynamical systems, mean-field limits for PDEs, control theory, kinetic and aggregation-diffusion equations together with their numerical simulations naturally show up as necessary tools to solve some of these questions.