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math.AP2018★ 4 cited
Analysis of the energy dissipation laws in multi-component phase field models
Arkadz Kirshtein, James Brannick, Chun Liu
In this paper, two approaches for modeling three-component fluid flows using diffusive interface method are discussed. Thermodynamic consistency of the proposed models is preserved…
math.AP2014
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…