73 citations · 77 across the 4 of their papers we have counts for
4 papers
Energetically stable discretizations for charge carrier transport and electrokinetic models
Chun Liu, Maximilian Metti, Jinchao Xu
A finite element discretization using a method of lines approached is proposed for approximately solving the Poisson-Nernst-Planck (PNP) equations. This discretization scheme enfor…
A variational formulation for dissipative fluids with interfaces in an inhomogeneous temperature field
Hiroki Fukagawa, Chun Liu, Takeshi Tsuji
We propose a formalization for dissipative fluids with interfaces in an inhomogeneous temperature field from the viewpoint of a variational principle. Generally, the Lagrangian of…
An Energetic Variational Approach for ion transport
Shixin Xu, Ping Sheng, Chun Liu
The transport and distribution of charged particles are crucial in the study of many physical and biological problems. In this paper, we employ an Energy Variational Approach to de…
Diffuse Interface Methods for Multiple Phase Materials: An Energetic Variational Approach
J. Brannick, C. Liu, T. Qian +1
In this paper, we introduce a diffuse interface model for describing the dynamics of mixtures involving multiple (two or more) phases. The coupled hydrodynamical system is derived…