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arxiv: 1401.7139 · v1 · submitted 2014-01-28 · 🧮 math-ph · math.MP

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On the Kac model for the Landau equation

Evelyne Miot , Mario Pulvirenti , Chiara Saffirio
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classification 🧮 math-ph math.MP
keywords equationmodellandauapproachesboltzmanncoulombhomogeneousintroduce
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We introduce a N-particle system which approaches, 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.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. On the monotonicity of the entropy production in the Landau-Maxwell equation

    math.AP 2026-01 unverdicted novelty 8.0

    Entropy production for the Landau equation with Maxwell molecules is non-increasing after a finite time under moment and temperature-distribution conditions, partially resolving a 1966 conjecture.