PARTIAL REGULARITY IN TIME FOR THE SPACE-HOMOGENEOUS LANDAU EQUATION WITH COULOMB POTENTIAL

Francois Golse; Maria Pia Gualdani; Cyril Imbert; Alexis Vasseur

doi:10.24033/asens.2524

PARTIAL REGULARITY IN TIME FOR THE SPACE-HOMOGENEOUS LANDAU EQUATION WITH COULOMB POTENTIAL

Francois Golse
, Maria Pia Gualdani
, Cyril Imbert
, Alexis Vasseur

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We prove that the set of singular times for weak solutions of the space-homogeneous Landau equation with Coulomb potential constructed as in [C. Villani, Arch. Rational Mech. Anal. 143 (1998), 273-307] has Hausdorff dimension at most .

langue originale	Anglais
Pages (de - à)	1575-1611
Nombre de pages	37
journal	Annales Scientifiques de l'Ecole Normale Superieure
Volume	55
Numéro de publication	6
Les DOIs	https://doi.org/10.24033/asens.2524
état	Publié - 1 nov. 2022

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10.24033/asens.2524

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title = "PARTIAL REGULARITY IN TIME FOR THE SPACE-HOMOGENEOUS LANDAU EQUATION WITH COULOMB POTENTIAL",

abstract = "We prove that the set of singular times for weak solutions of the space-homogeneous Landau equation with Coulomb potential constructed as in [C. Villani, Arch. Rational Mech. Anal. 143 (1998), 273-307] has Hausdorff dimension at most .",

author = "Francois Golse and Gualdani, \{Maria Pia\} and Cyril Imbert and Alexis Vasseur",

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AU - Imbert, Cyril

AU - Vasseur, Alexis

PY - 2022/11/1

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N2 - We prove that the set of singular times for weak solutions of the space-homogeneous Landau equation with Coulomb potential constructed as in [C. Villani, Arch. Rational Mech. Anal. 143 (1998), 273-307] has Hausdorff dimension at most .

AB - We prove that the set of singular times for weak solutions of the space-homogeneous Landau equation with Coulomb potential constructed as in [C. Villani, Arch. Rational Mech. Anal. 143 (1998), 273-307] has Hausdorff dimension at most .

UR - https://www.scopus.com/pages/publications/85168983918

U2 - 10.24033/asens.2524

DO - 10.24033/asens.2524

M3 - Article

AN - SCOPUS:85168983918

SN - 0012-9593

VL - 55

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JO - Annales Scientifiques de l'Ecole Normale Superieure

JF - Annales Scientifiques de l'Ecole Normale Superieure

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PARTIAL REGULARITY IN TIME FOR THE SPACE-HOMOGENEOUS LANDAU EQUATION WITH COULOMB POTENTIAL

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