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Existence of solutions for the Ericksen-Leslie system. (English) Zbl 0963.35158
Summary: 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 and classical solutions and the asymptotic stability of the solutions.

MSC:
35Q35 PDEs in connection with fluid mechanics
76A15 Liquid crystals
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