20 citations · 21 across the 2 of their papers we have counts for
3 papers
math.NA2022★ 1 cited
A Diffuse-Domain Based Numerical Method for a Chemotaxis-Fluid Model
Chenxi Wang, Alina Chertock, Shumo Cui +2
In this paper, we consider a coupled chemotaxis-fluid system that models self-organized collective behavior of oxytactic bacteria in a sessile drop. This model describes the biolog…
physics.flu-dyn2021
A Thermodynamically Consistent Model and Its Conservative Numerical Approximation for Moving Contact Lines with Soluble Surfactants
Quan Zhao, Weiqing Ren, Zhen Zhang
We derive a continuum sharp-interface model for moving contact lines with soluble surfactants in a thermodynamically consistent framework. The model consists of the isothermal two-…
math.NA2020★ 20 cited
MIM: A deep mixed residual method for solving high-order partial differential equations
Liyao Lyu, Zhen Zhang, Minxin Chen +1
In recent years, a significant amount of attention has been paid to solve partial differential equations (PDEs) by deep learning. For example, deep Galerkin method (DGM) uses the P…