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Partial regularity in time for the Landau equation with Coulomb interaction

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Virtualconference
Authors : Golse, François (Author of the conference)
CIRM (Publisher )

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Abstract : 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)

MSC Codes :
35B65 - Smoothness and regularity of solutions of PDE
35K15 - Initial value problems for second-order parabolic equations
35Q20 - Boltzmann equations
35B44 - Blow-up (PDE)

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

    Information on the Video

    Film maker : Hennenfent, Guillaume
    Language : English
    Available date : 09/04/2021
    Conference Date : 25/03/2021
    Subseries : Research talks
    arXiv category : Analysis of PDEs
    Mathematical Area(s) : Analysis and its Applications ; PDE
    Format : MP4 (.mp4) - HD
    Video Time : 00:42:28
    Targeted Audience : Researchers
    Download : https://videos.cirm-math.fr/2021-03-25_Golse.mp4

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 Analyse
Event 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.19733903
Cite this video as: 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

See Also

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



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