English
Mean-field-type limits of interacting particle systems for multiple species
Virtualconference
Auteurs : Juengel, Ansgar (Auteur de la Conférence)
CIRM (Editeur )
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
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Ansgar_Jungel.pdf
CIRM (Editeur )
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Résumé :
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.
Codes MSC : 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
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Ansgar_Jungel.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 09/04/2021 Date de captation : 22/03/2021 Sous collection : Research talks arXiv category : Analysis of PDEs Domaine : PDE ; Probability & Statistics Format : MP4 (.mp4) - HD Durée : 00:27:41 Audience : Researchers Download : https://videos.cirm-math.fr/2021-03-22_Juengel.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et AnalyseOrganisateurs de la rencontre : Bostan, Mihaï ; Jin, Shi ; Mehrenberger, Michel ; Montibeller, Celine Dates : 22/03/2021 - 26/03/2021 Année de la rencontre : 2021 URL Congrès : https://www.chairejeanmorlet.com/2355.html
Données de citation
DOI : 10.24350/CIRM.V.19734603Citer cette vidéo: 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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