5 papers
A Schrödinger-Based Dispersive Regularization Approach for Numerical Simulation of One-Dimensional Shallow Water Equations
Guosheng Fu, Chun Liu
We propose a novel dispersive regularization framework for the numerical simulation of the one-dimensional shallow water equations (SWE). The classical hyperbolic system is regular…
An Asymptotic Approach for Modeling Multiscale Complex Fluids at the Fast Relaxation Limit
Xuenan Li, Chun Liu, Di Qi
We present a new asymptotic strategy for general micro-macro models which analyze complex viscoelastic fluids governed by coupled multiscale dynamics. In such models, the elastic s…
Learning Generalized Diffusions using an Energetic Variational Approach
Yubin Lu, Xiaofan Li, Chun Liu +2
Extracting governing physical laws from computational or experimental data is crucial across various fields such as fluid dynamics and plasma physics. Many of those physical laws a…
Long-time asymptotic behavior of nonlinear Fokker-Planck type equations with periodic boundary conditions
Yekaterina Epshteyn, Chun Liu, Masashi Mizuno
In this paper, we study the asymptotic behavior of a class of nonlinear Fokker-Planck type equations in a bounded domain with periodic boundary conditions. The system is motivated…
Finite Difference Approximation with ADI Scheme for Two-dimensional Keller-Segel Equations
Yubin Lu, Chi-An Chen, Xiaofan Li +1
Keller-Segel systems are a set of nonlinear partial differential equations used to model chemotaxis in biology. In this paper, we propose two alternating direction implicit (ADI) s…