A finite element scheme for the evolution of orientational order in fluid membranes

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A Finite Element Scheme for the Evolution of Orientational Order in Fluid Membranes

We investigate the evolution of an almost flat membrane driven by competition of the homogeneous, Frank, and bending energies as well as the coupling of the local order of the constituent molecules of the membrane to its curvature. We propose an alternative to the model in [19, 41] which replaces a Ginzburg-Landau penalization for the length of the order parameter by a rigid constraint. We intr...

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ژورنال

عنوان ژورنال: ESAIM: Mathematical Modelling and Numerical Analysis

سال: 2009

ISSN: 0764-583X,1290-3841

DOI: 10.1051/m2an/2009040