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

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arxiv 1905.04745 v1 pith:6CXNWKV5 submitted 2019-05-12 math.AP

Ning Jiang , Yi-Long Luo This is my paper · ORCID
classification math.AP
keywords energyericksen-leslieinertiainitiallimitliquidsystemzero
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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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