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arXiv · 1711.10277

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

Etienne Emmrich·Robert Lasarzik
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Abstract

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.

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Etienne Emmrich, Robert Lasarzik. 2017-11-28. Existence of weak solutions to the Ericksen-Leslie model for a general class of free energies. https://doi.org/10.1002/mma.5172

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