Archive for Rational Mechanics and Analysis

, Volume 154, Issue 2, pp 135-156

First online:

Existence of Solutions for the Ericksen-Leslie System

  • Fang-Hua LinAffiliated withCourant Institute of Mathematical Sciences¶New York University¶New York, NY 10012
  • , Chun LiuAffiliated withDepartment of Mathematics and Center for Materials Physics¶Penn State University¶University Park, PA 16802

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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.