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math.AP2026
Global Finite-Energy Weak Solutions and Sharp Entropy Decay for a Poisson-Nernst-Planck System with Interspecies Drag and Steric Effects
Baoli Hao, Fanze Kong, Kei Fong Lam +1
We derive and analyze a binary Poisson-Nernst-Planck system with steric interactions and interspecies drag through the energetic variational approach. The steric effects are incorp…
math.AP2026
Global Well-posedness of the 2D Stochastic Self-consistent Keller-Segel-Navier-Stokes System with Subcritical Cellular Mass
Fanze Kong, Chen-Chih Lai, Krutika Tawri
We consider a stochastic Keller-Segel-Navier-Stokes system in describing the collective motion of cells in an ambient stochastic fluid flow, where the cells are attracted by…
math.AP2025
Stability and slow dynamics of an interior spiky pattern in a one-dimensional spatial Solow model with capital-induced labor migration
Fanze Kong, Jiayi Sun, Shuangquan Xie
One of the most significant findings in the study of spatial Solow-Swan models is the emergence of economic agglomeration, in which economic activities concentrate in specific regi…