Mean Field Limit for Stochastic Particle Systems

2017 ◽  
pp. 379-402 ◽  
Author(s):  
Pierre-Emmanuel Jabin ◽  
Zhenfu Wang
Keyword(s):  
Mean Field ◽  
Particle Systems ◽  
Field Limit ◽  
Mean Field Limit ◽  
Stochastic Particle Systems ◽  
Stochastic Particle

scholarly journals Long Time Behavior of Particle Systems in the Mean Field Limit

2007 ◽  
Vol 5 (5) ◽  
pp. 11-19 ◽  
Author(s):  
Emanuele Caglioti ◽  
Frédéric Rousset
Keyword(s):  
Mean Field ◽  
Particle Systems ◽  
Time Behavior ◽  
Long Time Behavior ◽  
Field Limit ◽  
Mean Field Limit ◽  
Long Time ◽  
The Mean

scholarly journals Instantaneous control of interacting particle systems in the mean-field limit

2020 ◽  
Vol 405 ◽  
pp. 109181 ◽  
Author(s):  
Martin Burger ◽  
René Pinnau ◽  
Claudia Totzeck ◽  
Oliver Tse ◽  
Andreas Roth
Keyword(s):  
Interacting Particle Systems ◽  
Mean Field ◽  
Particle Systems ◽  
Field Limit ◽  
Mean Field Limit ◽  
Interacting Particle ◽  
The Mean ◽  
Instantaneous Control

scholarly journals The Microscopic Derivation and Well-Posedness of the Stochastic Keller–Segel Equation

2020 ◽  
Vol 31 (1) ◽  
Author(s):  
Hui Huang ◽  
Jinniao Qiu
Keyword(s):  
Existence Of Solutions ◽  
Particle System ◽  
Mean Field ◽  
Field Limit ◽  
Mean Field Limit ◽  
Unique Existence ◽  
Interacting Particle ◽  
Microscopic Derivation ◽  
The Mean ◽  
Limit Result

AbstractIn this paper, we propose and study a stochastic aggregation–diffusion equation of the Keller–Segel (KS) type for modeling the chemotaxis in dimensions $$d=2,3$$ d = 2 , 3 . Unlike the classical deterministic KS system, which only allows for idiosyncratic noises, the stochastic KS equation is derived from an interacting particle system subject to both idiosyncratic and common noises. Both the unique existence of solutions to the stochastic KS equation and the mean-field limit result are addressed.

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