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Thermodynamically consistent higher order phase field Navier-Stokes models with applications to biomembranes

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  • In this paper we derive thermodynamically consistent higher order phase field models for the dynamics of biomembranes in incompressible viscous fluids. We start with basic conservation laws and an appropriate version of the second law of thermodynamics and obtain generalizations of models introduced by Du, Li and Liu [3] and Jamet and Misbah [11]. In particular we derive a stress tensor involving higher order derivatives of the phase field and generalize the classical Korteweg capillarity tensor.
    Mathematics Subject Classification: Primary: 35K55, 74L15; Secondary: 74K15, 92C05.

    Citation:

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