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math.AP2026
Low Mach number limit of the compressible Euler--Vlasov--Fokker--Planck system in the whole space
Fucai Li, Jinkai Ni, Zhipeng Zhang
Although there are many important contributions on compressible and incompressible fluid-particle interaction models respectively, how to connect the two-type fluid-particle models…
math.AP2026
Quantitative estimates of propagation of chaos for multi-species cross-diffusion equations
Yue Li, Yefei Yin, Zhipeng Zhang
In this paper, we prove the quantitative propagation of chaos results that allow us to derive multi-species cross-diffusion equations from moderately interacting stochastic particl…
math.AP2016
Zero kinematic viscosity-magnetic diffusion limit of the incompressible viscous magnetohydrodynamic equations with Navier boundary conditions
Fucai Li, Zhipeng Zhang
We investigate the zero kinematic viscosity-magnetic diffusion limit of the incompressible viscous magnetohydrodynamic equations with Navier boundary conditions in a smooth bounded…