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Mean-field-type limits of interacting particle systems for multiple species
Virtualconference
Authors : Juengel, Ansgar (Author of the conference)
CIRM (Publisher )
35K45 - Initial value problems for pararabolic systems
60J70 - Applications of diffusion theory (population genetics, absorption problems, etc.), See also {92Dxx}
82C22 - Interacting particle systems
35Q92 - PDEs in connection with biology and other natural sciences
Additional resources :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Ansgar_Jungel.pdf
CIRM (Publisher )
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Abstract :
The aim of this talk is the rigorous derivation of crossdiffusion systems from stochastic, moderately interacting many-particle systems for multiple species. Applications include animal populations and neuronal ensembles. The mean-field limit leads to nonlocal cross-diffusion systems, while the limit of vanishing interaction radius gives local cross-diffusion equations. This allows for the derivation of fluid-type models that can be found in neuronal networks and of Shigesada-Kawasaki-Teramoto population models. The derivation uses the techniques of Oehlschläger. The entropy structure of the limiting models is discussed and some numerical experiments are presented.
MSC Codes : 35K45 - Initial value problems for pararabolic systems
60J70 - Applications of diffusion theory (population genetics, absorption problems, etc.), See also {92Dxx}
82C22 - Interacting particle systems
35Q92 - PDEs in connection with biology and other natural sciences
Additional resources :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Ansgar_Jungel.pdf
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 09/04/2021 Conference Date : 22/03/2021 Subseries : Research talks arXiv category : Analysis of PDEs Mathematical Area(s) : PDE ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:27:41 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2021-03-22_Juengel.mp4 
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Information on the Event
Event Title : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseEvent Organizers : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Event Year : 2021 Event URL : https://www.chairejeanmorlet.com/2355.html
Citation Data
DOI : 10.24350/CIRM.V.19734603Cite this video as: Juengel, Ansgar (2021). Mean-field-type limits of interacting particle systems for multiple species. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19734603 URI : http://dx.doi.org/10.24350/CIRM.V.19734603 |
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