2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.NA2026
GradAgent: A Knowledge-Guided Multi-Agent System for Structure-Preserving Gradient-Flow Computation with an Application to Multicomponent Vesicle Dynamics
Zhenlin Guo, Jiale Meng, Shuqi Tang +4
High-order differential operators and nonlinear coupling make it challenging to construct conservative and energy-stable schemes for coupled gradient-flow systems. We present GradA…
math.DS2024★ 2 cited
Fourier neural operator based fluid-structure interaction for predicting the vesicle dynamics
Wang Xiao, Ting Gao, Kai Liu +2
Solving complex fluid-structure interaction (FSI) problems, characterized by nonlinear partial differential equations, is crucial in various scientific and engineering applications…
math.AP2024
An eigenvalue problem for self-similar patterns in Hele-Shaw flows
Wang Xiao, Lingyu Feng, Kai Liu +1
Hele-Shaw problems are prototypes to study the interface dynamics. Linear theory suggests the existence of self-similar patterns in a Hele-Shaw flow. That is, with a specific injec…