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Zheng-Yan Wu

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Preprint Oct 2026

A Program for Fluctuating Kinetic Theory

A program for fluctuating kinetic theory is proposed in this paper to study nonlinear L\'evy-type fluctuation corrections to kinetic PDEs in a unified way. The Vlasov--Fokker--Planck (VFP), Landau, and Boltzmann equations can each be decomposed into a kinetic transport term and a generalized gradient structure generate...

Zheng-Yan Wu · 0 citations
Preprint Sep 2026

Fluctuating Kinetic Theory: A Poissonian Stochastic Boltzmann Equation

We introduce a nonlinear Poissonian fluctuating Boltzmann equation whose noise encodes both the fluctuations and the path large-deviation rate function of the underlying hard-sphere gas. Unlike the Gaussian-noise equations commonly studied in fluctuating hydrodynamics, the present equation raises a new difficulty: a Po...

Zheng-Yan Wu · 0 citations

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