Sören Bartels,
Georg Dolzmann,
Ricardo H. Nochetto
(2010)
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 [J.B. Fournier and P. Galatoa,
(1997) 1509–1520; N. Uchida,
(2002) 040902] which replaces
a Ginzburg-Landau penalization for the length of the
order parameter by a rigid constraint.
We...