On the Kac model for the Landau equation

Evelyne Miot; Mario Pulvirenti; Chiara Saffirio

doi:10.3934/krm.2011.4.333

Article Contents

2011, Volume 4, Issue 1: 333-344. Doi: 10.3934/krm.2011.4.333

This issue Previous Article Fourteen moment theory for granular gases Next Article Coordinates in the relativistic Boltzmann theory

On the Kac model for the Landau equation

1.
Laboratoire de Mathématiques, Université Paris-Sud 11, bât. 425, 91405 Orsay
2.
Dipartimento di Matematica Guido Castelnuovo, Università La Sapienza - Roma, P.le A. Moro, 5 00185 Roma

Received: October 2010

Revised: October 2010

Published: March 2011

Abstract / Introduction Related Papers Cited by

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].

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Mathematics Subject Classification: 35D30, 35Q20, 35Q70, 35Q82.

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References

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