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math.NA2025
Efficient Long-Time Simulations of Multiscale Systems via High-Order Numerical Homogenization
Bojin Chen, Zeyu Jin, Ruo Li
By a high-order numerical homogenization method, a heterogeneous multiscale scheme was developed in Jin & Li (2022) for evolving differential equations containing two time scales.…
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…
math.AP2025
Mixing for generic passive scalars by incompressible flows
Zeyu Jin, Ruo Li
Mixing by incompressible flows is a ubiquitous yet incompletely understood phenomenon in fluid dynamics. While previous studies have focused on optimal mixing rates, the question o…