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Existence of Solutions for the Ericksen-Leslie System

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Abstract:

We study the general Ericksen-Leslie system, which describes the flow of liquid crystal materials. The dissipation property of the system is established and is used to prove the global existence of weak solutions. We also study the existence of classical solutions and the asymptotic stability of the solutions.

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Authors and Affiliations

  1. Courant Institute of Mathematical Sciences¶New York University¶New York, NY 10012, , , , , , US

    Fang-Hua Lin

  2. Department of Mathematics and Center for Materials Physics¶Penn State University¶University Park, PA 16802, , , , , , US

    Chun Liu

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  1. Fang-Hua Lin
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  2. Chun Liu
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(Accepted: January 15, 2000)¶Published online September 12, 2000

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Lin, FH., Liu, C. Existence of Solutions for the Ericksen-Leslie System. Arch. Rational Mech. Anal. 154, 135–156 (2000). https://doi.org/10.1007/s002050000102

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  • DOI: https://doi.org/10.1007/s002050000102

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