Partial regularity in time for the Landau equation with Coulomb interaction | Vidéo | Carmin.tv

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Partial regularity in time for the Landau equation with Coulomb interaction

By François Golse

Appears in collection : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et Analyse

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)

Information about the video

Date of recording 25/03/2021
Date of publication 09/04/2021
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19733903
Cite this video Golse, François (25/03/2021). Partial regularity in time for the Landau equation with Coulomb interaction. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19733903
URL https://dx.doi.org/10.24350/CIRM.V.19733903

Domain(s)

Analysis of PDEs

Bibliography

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

MSC codes

Document(s)

https://www.cirm-math.fr/RepOrga/2355/Slides/slide_Francois_GOLSE.pdf

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