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

URN to cite this document:
urn:nbn:de:bvb:355-epub-137381
DOI to cite this document:
10.5283/epub.13738
Farshbaf-Shaker, M. Hassan ; Garcke, Harald
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Date of publication of this fulltext: 23 Mar 2010 08:21


Abstract

In this paper we derive thermodynamically consistent higher order phase �eld models for the dynamics of vesicle membranes in incompressible viscous uids. 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 [5] and Jamet and Misbah [13]. In particular we derive a stress tensor ...

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