96 citations · 484 across the 29 of their papers we have counts for
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Numerical methods for Porous Medium Equation by an Energetic Variational Approach
Chenghua Duan, Chun Liu, Cheng Wang +1
We study numerical methods for porous media equation (PME). There are two important characteristics: the finite speed propagation of the free boundary and the potential waiting tim…
Do Bi-Stable Poisson-Nernst-Planck Models Describe Single Channel Gating?
Nir Gavish, Chun Liu, Bob Eisenberg
Experiments measuring currents through single protein channels show unstable currents, a phenomena called the gating of a single channel. Channels switch between an 'open' state wi…
Analysis of the energy dissipation laws in multi-component phase field models
Arkadz Kirshtein, James Brannick, Chun Liu
In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved…
Numerical Complete Solution for Random Genetic Drift by Energetic Variational Approach
Chenghua Duan, Chun Liu, Cheng Wang +1
In this paper, we focus on numerical solutions for random genetic drift problem, which is governed by a degenerated convection-dominated parabolic equation. Due to the fixation phe…