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

Research output: Contribution to journal › Article › peer-review

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 .

Original language	English
Pages (from-to)	1575-1611
Number of pages	37
Journal	Annales Scientifiques de l'Ecole Normale Superieure
Volume	55
Issue number	6
DOIs	https://doi.org/10.24033/asens.2524
Publication status	Published - 1 Nov 2022

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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 - Vasseur, Alexis

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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 .

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DO - 10.24033/asens.2524

M3 - Article

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SN - 0012-9593

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JO - Annales Scientifiques de l'Ecole Normale Superieure

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IS - 6

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

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