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

Chun Liu

doi:10.3934/dcds.2000.6.591

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

Chun Liu

Research output: Contribution to journal › Article › peer-review

26 Scopus citations

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 language	English (US)
Pages (from-to)	591-608
Number of pages	18
Journal	Discrete and Continuous Dynamical Systems
Volume	6
Issue number	3
DOIs	https://doi.org/10.3934/dcds.2000.6.591
State	Published - Jul 2000

All Science Journal Classification (ASJC) codes

Analysis
Discrete Mathematics and Combinatorics
Applied Mathematics

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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.",

author = "Chun Liu",

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AB - 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.

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

Abstract

All Science Journal Classification (ASJC) codes

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