Existence of Solutions for the Ericksen-Leslie System |
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| Authors: | Fang-Hua Lin Chun Liu |
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| Institution: | Courant Institute of Mathematical Sciences?New York University?New York, NY 10012, US
Department of Mathematics and Center for Materials Physics?Penn State University?University Park, PA 16802, US
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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.
(Accepted: January 15, 2000)?Published online September 12, 2000 |
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