3 citations · 11 across the 7 of their papers we have counts for
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A simplified voltage-conductance kinetic model for interacting neurons and its asymptotic limit
José A. Carrillo, Xu'an Dou, Zhennan Zhou
The voltage-conductance kinetic model for the collective behavior of neurons has been studied by scientists and mathematicians for two decades, but the rigorous analysis of its sol…
Bounds and long term convergence for the voltage-conductance kinetic system arising in neuroscience
Xu'An Dou, Benoît Perthame, Delphine Salort +1
The voltage-conductance equation determines the probability distribution of a stochastic process describing a fluctuation-driven neuronal network arising in the visual cortex. Its…
Exponential convergence to equilibrium for a two-speed model with variant drift fields via the resolvent estimate
Xu'an Dou, Zhennan Zhou
We study a two-speed model with variant drift fields, which generalizes the Goldstein-Taylor model but the two advection fields are not necessarily in proportion. Due to the lack o…
Field model for complex ionic fluids: analytical properties and numerical investigation
Jian-Guo Liu, Jinhuan Wang, Yu Zhao +1
In this paper, we consider the field model for complex ionic fluids with an energy variational structure, and analyze the well-posedness to this model with regularized kernels. Fur…
Towards understanding the boundary propagation speeds in tumor growth models
Jian-Guo Liu, Min Tang, Li Wang +1
At the continuous level, we consider two types of tumor growth models: the cell density model, which is based on the fluid mechanical construction, is more favorable for scientific…