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math.AP2026
The Homogeneous Landau Equation with Regularised Thermal Noise
Manh Hong Duong, Zihui He, Zhengyan Wu
We introduce and analyze a fluctuating homogeneous Landau equation with regularised thermal noise. The model is motivated by the nonlocal gradient flow structure of the determinist…
math.AP2026
Kinetic Fokker-Planck Equations with Nonlinear Diffusion
Zimo Hao, Zhengyan Wu, Xicheng Zhang
We study existence, regularity, and uniqueness for the nonlinear kinetic Fokker--Planck equation on $\mathbb R^{2d…