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arXiv · 1905.04745

The zero inertia limit of Ericksen-Leslie's model for liquid crystals

Ning Jiang·Yi-Long Luo
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Abstract

In this paper we study the zero inertia limit that is from the hyperbolic to parabolic Ericksen-Leslie's liquid crystal flow. By introducing an initial layer and constructing an energy norm and energy dissipation functional depending on the solutions of the limiting system, we derive a global in time uniform energy bound to the remainder system under the small size of the initial data.

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Ning Jiang, Yi-Long Luo. 2019-05-12. The zero inertia limit of Ericksen-Leslie's model for liquid crystals. https://doi.org/10.1016/j.jfa.2021.109280

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