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arXiv · 1712.00660

Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions

Etienne Emmrich·Robert Lasarzik
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Abstract

We study the Ericksen-Leslie system equipped with a quadratic free energy functional. The norm restriction of the director is incorporated by a standard relaxation technique using a double-well potential. We use the relative energy concept, often applied in the context of compressible Euler- or related systems of fluid dynamics, to prove weak-strong uniqueness of solutions. A main novelty is that the relative energy inequality is proved for a system with a nonconvex energy.

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Etienne Emmrich, Robert Lasarzik. 2017-12-02. Weak-strong uniqueness for the general Ericksen-Leslie system in three dimensions. https://doi.org/10.3934/dcds.2018202

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