107 citations · 345 across the 16 of their papers we have counts for
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math.AP2013★ 1 cited
Finite time singularities for hyperbolic systems
Geng Chen, Tao Huang, Chun Liu
In this paper, we study the formation of finite time singularities in the form of super norm blowup for a spatially inhomogeneous hyperbolic system. The system is related to the va…
math.AP2013★ 36 cited
Diffusion limit of kinetic equations for multiple species charged particles
Hao Wu, Tai-Chia Lin, Chun Liu
In ionic solutions, there are multi-species charged particles (ions) with different properties like mass, charge etc. Macroscopic continuum models like the Poisson-Nernst-Planck (P…
math.NA2013
A Conservative Finite Difference Scheme for Poisson-Nernst-Planck Equations
Allen Flavell, Michael Machen, Bob Eisenberg +2
A macroscopic model to describe the dynamics of ion transport in ion channels is the Poisson-Nernst-Planck(PNP) equations. In this paper, we develop a finite-difference method for…