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3teaching:0classes:multiagent [2019/03/07 11:50]
torsten [Kinetic Description of Multi-Agent Systems, SS 2019]
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-=== Multi-Agent Systems === 
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-====== Kinetic Description of Multi-Agent Systems, ​ SS 2019 ====== 
-**Dr. Torsten Trimborn** 
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-A class for students of CES and Mathematics,​ as well as everybody interested. 
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-=== Intention === 
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-We study the mathematical description of multi-agent systems on different modeling levels. ​ 
-Especially we discuss the passage from microscopic agent dynamics to kinetic equations (e.g. Boltzmann) and the passage from mesoscopic equations to macroscopic equations (e.g. Euler). ​ 
-Such kinetic formulations play an important role in a variety of physical, biological and social applications. 
-Furthermore,​ we discuss Monte-Carlo methods for kinetic equations and study the possibility to add an optimization problem to the microscopic dynamics. \\ 
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-  * Kinetic equations (Boltzmann, Vlasov-Poisson) 
-  * Kinetic limits (mean field limit, Boltzmann-Grad limit, grazing limit) 
-  * Analytical properties (existence, uniqueness, h-theorem) 
-  * Boltzmann to Euler and Navier-Stokes 
-  * Monte-Carlo methods for kinetic equations 
-  * Mean field games 
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-=== Info === 
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-The formal structure of the class will be one lecture each week and a tutorial every second week.  
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-The times for lectures and tutorials are given below. ​ 
-  * Tuesdays (usually lecture), 10:30 - 12:00, in 1090(Rogowski)|328 
-  * Thursday (usually tutorial), 14:30 - 16:00, in 1090(Rogowski)|328 
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-There are 5 ECTS points to earn with an oral exam of 30min. 
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-See also [[https://​online.rwth-aachen.de|online.rwth-aachen.de]]. ​ 
-Also, please register with the L2P-Room, available at [[http://​www.l2p.rwth-aachen.de|RWTH E-Learning]]. 
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-=== Some Background Literature === 
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-For further readings we recommend the following literature. ​ 
-For sure many books actually go far beyond the course material. 
-But they certainly resonate with what is done in the course. \\ 
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-  * H. Babovsky, Die Boltzmann-Gleichung,​ Teubner, 1998 
-  * H. Spohn, Large scale dynamics of interacting particles, Springer-Verlag,​1991 
-  * P. Cardaliague,​ Notes on Mean Field Games, 2013 
-  * L. Pareschi and G. Toscani, Interacting Multiagent Systems, 2013 
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