数値解析・応用解析セミナー

6月14日(火)  15:30 -- 17:00  Patrick van Meurs (金沢大学数物科学系)	
 ``Collective behaviour of interacting particles''

＜研究発表要旨＞
We study the many-particle limit of an interacting particle system. 
The velocities of the particles are described by a non-linear function
which depends on all particle positions. The resulting system of 
first-order ODEs has a gradient flow structure with respect to an 
energy functional E_n, where n is the number of particles. I will 
present how to pass to the limit n --> \infty in this sequence of 
gradient flows. The limiting gradient flow takes the form of a 
continuity equation for the particle density. The proof relies on 
variational techniques such as \Gamma-converge of the energy functionals, 
Wasserstein gradient flows, and the evolutionary convergence framework 
developed by Sandier and Serfaty in 2004.

セミナー室: 京都大学 総合研究12号館 2階203号室
            （応用解析学講座セミナー室）

●総合研究12号館は旧「工学部2号館」で、本学キャンパスマップでは「京都
  大学本部構内 54番建物」です。
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セミナー連絡先: 京都大学大学院 情報学研究科 複雑系科学専攻
                 磯 祐介    e-mail; iso@i.kyoto-u.ac.jp