English
Partial regularity in time for the Landau equation with Coulomb interaction
Virtualconference
Auteurs : Golse, François (Auteur de la Conférence)
CIRM (Editeur )
35B65 - Smoothness and regularity of solutions of PDE
35K15 - Initial value problems for second-order parabolic equations
35Q20 - Boltzmann equations
35B44 - Blow-up (PDE)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Francois_GOLSE.pdf
CIRM (Editeur )
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Résumé :
Whether there is global regularity or finite time blow-up for the space homogeneous Landau equation with Coulomb potential is a longstanding open problem in the mathematical analysis of kinetic models. This talk shows that the Hausdorff dimension of the set of singular times of the global weak solutions obtained by Villanis procedure is at most 1/2.
(Work in collaboration with M.P. Gualdani, C. Imbert and A. Vasseur)
Codes MSC : (Work in collaboration with M.P. Gualdani, C. Imbert and A. Vasseur)
35B65 - Smoothness and regularity of solutions of PDE
35K15 - Initial value problems for second-order parabolic equations
35Q20 - Boltzmann equations
35B44 - Blow-up (PDE)
Ressources complémentaires :
https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Francois_GOLSE.pdf
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 09/04/2021 Date de captation : 25/03/2021 Sous collection : Research talks arXiv category : Analysis of PDEs Domaine : Analysis and its Applications ; PDE Format : MP4 (.mp4) - HD Durée : 00:42:28 Audience : Researchers Download : https://videos.cirm-math.fr/2021-03-25_Golse.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.19733903Citer cette vidéo: Golse, François (2021). Partial regularity in time for the Landau equation with Coulomb interaction. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19733903 URI : http://dx.doi.org/10.24350/CIRM.V.19733903 |
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Bibliographie
- GOLSE, François, GUALDANI, Maria Pia, IMBERT, Cyril, et al. Partial regularity in time for the space homogeneous Landau equation with Coulomb potential. arXiv preprint arXiv:1906.02841, 2019. - https://arxiv.org/abs/1906.02841
