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20122022
most citedThermodynamically Consistent Diffuse Interface Model for Cell Adhesion and Aggregation

1 citations · 3 across the 7 of their papers we have counts for

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math.NA2022

A fast front-tracking approach and its analysis for a temporal multiscale flow problem with a fractional-order boundary growth

Zhaoyang Wang, Ping Lin, Lei Zhang

This paper is concerned with a blood flow problem coupled with a slow plaque growth at the artery wall. In the model, the micro (fast) system is the Navier-Stokes equation with a p…

math.NA20221 cited

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…

math.NA20221 cited

A temporal multiscale method and its analysis for a system of fractional differential equations

Zhaoyang Wang, Ping Lin

In this paper, a nonlinear system of fractional ordinary differential equations with multiple scales in time is investigated. We are interested in the effective long-term computati…

math.NA2020

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…

math.NA2019

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…