Archive for Rational Mechanics and Analysis

, Volume 154, Issue 2, pp 135–156

Existence of Solutions for the Ericksen-Leslie System

  • Fang-Hua Lin
  • Chun Liu

DOI: 10.1007/s002050000102

Cite this article as:
Lin, FH. & Liu, C. Arch. Rational Mech. Anal. (2000) 154: 135. doi:10.1007/s002050000102


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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Fang-Hua Lin
    • 1
  • Chun Liu
    • 2
  1. 1.Courant Institute of Mathematical Sciences¶New York University¶New York, NY 10012US
  2. 2.Department of Mathematics and Center for Materials Physics¶Penn State University¶University Park, PA 16802US

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