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arXiv · 1912.10429

Concentration-cancellation in the Ericksen-Leslie model

Joshua Kortum
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Abstract

We establish the subconvergence of weak solutions to the Ginzburg-Landau approximation to global-in-time weak solutions of the Ericksen-Leslie model for nematic liquid crystals on the torus $\mathbb{T}^2$. The key argument is a variation of concentration-cancellation methods originally introduced by DiPerna and Majda to investigate the weak stability of solutions to the (steady-state) Euler equations.

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Joshua Kortum. 2019-12-22. Concentration-cancellation in the Ericksen-Leslie model. https://arxiv.org/abs/1912.10429

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