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arXiv · 2107.07252

Boltzmann to Landau from the Gradient Flow Perspective

José Carrillo·Matias Delgadino·Jeremy Wu
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Abstract

We revisit the grazing collision limit connecting the Boltzmann equation to the Landau(-Fokker-Planck) equation from their recent reinterpretations as gradient flows. Our results are in the same spirit as the $\Gamma$-convergence of gradient flows technique introduced by Sandier and Serfaty. In this setting, the grazing collision limit reduces to showing the lower semi-continuous convergence of the Boltzmann entropy-dissipation to the Landau entropy-dissipation.

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José Carrillo, Matias Delgadino, Jeremy Wu. 2021-07-15. Boltzmann to Landau from the Gradient Flow Perspective. https://arxiv.org/abs/2107.07252

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