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math.AP2025
From Kac particles to the Landau equation with hard potentials: BBGKY hierarchy method
Shuchen Guo
We study the Kac particle model for the space-homogenous Landau equation with hard potentials. By showing a sharper Povzner-type inequality, we obtain the uniform-in-time and unifo…
math.AP2025
From Fisher information decay for the Kac model to the Landau-Coulomb hierarchy
José Antonio Carrillo, Shuchen Guo
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 …
math.PR2025
Propagation of chaos for multi-species moderately interacting particle systems up to Newtonian singularity
José Antonio Carrillo, Shuchen Guo, Alexandra Holzinger
We derive a class of multi-species aggregation-diffusion systems from stochastic interacting particle systems via relative entropy method with quantitative bounds. We show an algeb…