3 papers
math-ph2025
Ohta-Kawasaki Model Reveals Patterns on Multicomponent Vesicles
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
We present a new mechanochemical modeling framework to explore the shape deformation and pattern formation in multicomponent vesicle membranes. In this framework, the shape of the…
physics.flu-dyn2025
An Effective Model for Droplet Impact Dynamics on Micro-Structured Surfaces: Nonlocal Theory and SPH Simulation of Pancake Bouncing
Zhonghua Qiao, Zuankai Wang, Yifan Wei
The accurate mathematical modeling of droplet impact dynamics on micro-structured surfaces is fundamental to understanding and predicting complex fluid behaviors relevant to a wide…
math.NA2025
Overcoming logarithmic singularities in the Cahn-Hilliard equation with Flory-Huggins potential: An unconditionally convergent ADMM approach
Ruo Li, Shengtong Liang, Zhonghua Qiao
The Cahn-Hilliard equation with Flory-Huggins potential serves as a fundamental phase field model for describing phase separation phenomena. Due to the presence of logarithmic sing…