We introduce a N-particle system which approximates, in the mean-field limit, the solutions of the Landau equation with Coulomb singularity. This model plays the same role as the Kac's model for the homogeneous Boltzmann equation. We use compactness arguments following [11].
ON THE KAC MODEL FOR THE LANDAU EQUATION / Evelyne, Miot; Pulvirenti, Mario; Saffirio, Chiara. - In: KINETIC AND RELATED MODELS. - ISSN 1937-5093. - 4:1(2011), pp. 333-344. [10.3934/krm.2011.4.333]
ON THE KAC MODEL FOR THE LANDAU EQUATION
PULVIRENTI, Mario;SAFFIRIO, CHIARA
2011
Abstract
We introduce a N-particle system which approximates, in the mean-field limit, the solutions of the Landau equation with Coulomb singularity. This model plays the same role as the Kac's model for the homogeneous Boltzmann equation. We use compactness arguments following [11].File allegati a questo prodotto
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