From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy

2025/02/25 by Carrillo, José Antonio, Guo, Shuchen · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2502.18606

Abstract

We consider the Kac model for the space-homogeneous Landau equation with the Coulomb potential. We show that the Fisher information of the Liouville equation for the unmodified N-particle system is monotonically decreasing in time. The monotonicity ensures the compactness to derive a weak solution of the Landau hierarchy.

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• Propagation of chaos for the Landau equation via microcanonical binary collisions
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