Monthly Archives: December 2014



日時: 平成27年1月13日(火) 14:40-16:20
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)
(1 hour)
From Stochastic Differential Games and Kinetic Theory Methods To the Modeling of Behavioral Social Crowds
Prof. Nicola Bellomo
(Department of Mathematical Sciences, Politecnico di Torino, Italy)
要旨1:  Abstract
(30 min)
A Monte Carlo simulation on the basis of the kinetic theory for chemo-tactic bacteria
Prof. Shugo Yasuda
(Graduate School of Simulation Studies, University of Hyogo, Japan)
要旨2:  Abstract



日時: 平成27年1月6日(火) 16:10-17:10
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)
On Coagulation-Fragmentation Models with Spatial Diffusion
(joint work with Laurent Desvillettes, J. A. Canizo, J. A. Carrillo)
Prof. Klemens Fellner
(Institute for Mathematics and Scientific Computing, University of Graz, Austria)
We consider existence, large-time behaviour and fast-reaction limits of coagulation-fragmentation models with spatial diffusion, which share many formal and structural  similarities with kinetic equations. As continuous-in-size model, we study Smoluchowski’s equation with constant coefficients and prove explicit convergence to equilibrium also in the case of degenerate diffusion coefficients.
Discrete-in-size models are considered with more general coefficients. The diffusion coefficients are also allowed to degenerate in size.
The main techniques include a-priori estimates based on the dissipation of an  entropy functional, entropy entropy-dissipation methods, moment bounds and  duality methods.