73 citations · 208 across the 24 of their papers we have counts for
6 papers · 1 filter
Thermodynamically Consistent Diffuse Interface Model for Cell Adhesion and Aggregation
Lingyue Shen, Ping Lin, Zhiliang Xu +1
A thermodynamically consistent phase-field model is introduced for simulating multicellular deformation, and aggregation under flow conditions. In particular, a Lennard-Jones type…
A phase field model for mass transport with semi-permeable interfaces
Yuzhe Qin, Huaxiong Huang, Yi Zhu +2
In this paper, a thermal-dynamical consistent model for mass transfer across permeable moving interfaces is proposed by using the energy variation method. We consider a restricted…
An Energy Stable C0 Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation
Lingyue Shen, Zhiliang Xu, Ping Lin +2
A thermodynamically consistent phase-field model is introduced for simulating motion and shape transformation of vesicles under flow conditions. In particular, a general slip bound…
Neural-PDE: A RNN based neural network for solving time dependent PDEs
Yihao Hu, Tong Zhao, Shixin Xu +2
Partial differential equations (PDEs) play a crucial role in studying a vast number of problems in science and engineering. Numerically solving nonlinear and/or high-dimensional PD…
An energy stable finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
Lingyue Shen, Huaxiong Huang, Ping Lin +2
In this paper, we focus on modeling and simulation of two-phase flow with moving contact lines and variable density. A thermodynamically consistent phase-field model with General N…
Behavior of different numerical schemes for population genetic drift problems
Minxin Chen, Chun Liu, Shixin Xu +2
In this paper, we focus on numerical methods for the genetic drift problems, which is governed by a degenerated convection-dominated parabolic equation. Due to the degeneration and…