100 citations · 108 across the 19 of their papers we have counts for
11 papers · 1 filter
A Thermodynamically Consistent Model for Multicomponent Vesicles
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
We develop a thermodynamically consistent diffuse-interface model for multicomponent membranes. The proposed model is derived from a coupled free energy functional that incorporate…
Exponential Time Differencing Schemes for a Phase-Field Model of Multicomponent Membranes
Wangbo Luo, Zhonghua Qiao, Yanxiang Zhao
In this paper, we develop and analyze exponential time differencing (ETD) schemes for a phase-field model of multicomponent membranes proposed in our previous work \cite{luo2025oht…
Double Fourier Sphere Methods with Low Rank Approximation for Block Copolymer Systems on Sphere
Wangbo Luo, Yanxiang Zhao
We introduce spectral methods for the Ohta-Kawasaki (OK) and Nakazawa-Ohta (NO) models on a spherical domain, examining their coarsening dynamics and equilibrium pattern formations…
Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk
Wangbo Luo, Yanxiang Zhao
In this paper, we investigate ultraspherical spectral method for the Ohta-Kawasaki (OK) and Nakazawa-Ohta (NO) models in the disk domain, representing diblock and triblock copolyme…
Asymptotically Compatible Schemes for Nonlocal Ohta Kawasaki Model
Wangbo Luo, Yanxiang Zhao
We study the asymptotical compatibility of the Fourier spectral method in multidimensional space for the Nonlocal Ohta-Kawasaka (NOK) model, which is proposed in our previous work.…
Bifurcation Analysis Reveals Solution Structures of Phase Field Models
Xinyue Evelyn Zhao, Long-Qing Chen, Wenrui Hao +1
Phase field method is playing an increasingly important role in understanding and predicting morphological evolution in materials and biological systems. Here, we develop a new ana…