Dynamic theory for incompressible smectic-A liquid crystals: Existence and regularity

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Abstract

We study a system that was proposed in [3] in order to model the dynamic of Smectic-A liquid crystals. We establish the energy dissipative relation of the system and prove the existence of global weak solutions. A higher order energy estimate is also established for the existence of the classical solutions and the regularity of the weak solutions. Some regularity and stability results are also discussed in this paper.

Original languageEnglish (US)
Pages (from-to)591-608
Number of pages18
JournalDiscrete and Continuous Dynamical Systems
Volume6
Issue number3
DOIs
StatePublished - Jul 2000

All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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