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arXiv:1711.10277 [math.AP]AbstractReferencesReviewsResources

Existence of weak solutions to the Ericksen-Leslie model for a general class of free energies

Etienne Emmrich, Robert Lasarzik

Published 2017-11-28Version 1

A quasistatic model due to Ericksen and Leslie describing incompressible liquid crystals is studied for a general class of free energies. Global existence of weak solutions is proven via a Galerkin approximation with eigenfunctions of a strongly elliptic operator. A novelty is that the principal part of the differential operator appearing in the director equation can be nonlinear.

Categories: math.AP
Subjects: 35Q35, 35K52, 76A15
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