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

Chun Liu

doi:10.3934/dcds.2000.6.591

Article Contents

2000, Volume 6, Issue 3: 591-608. Doi: 10.3934/dcds.2000.6.591

This issue Previous Article Existence of bounded trajectories via upper and lower solutions Next Article Center-focus and isochronous center problems for discontinuous differential equations

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

Chun Liu^1,

1.
Department of Mathematics, The Pennsylvania State University, University Park, PA 16802

Received: August 31, 1999

Revised: November 30, 1999

Published: June 2000

Abstract Related Papers Cited by

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.

Keywords:

Smectic-A liquid crystals,
Navier-Stokes equations.

Mathematics Subject Classification: Primary: 35Q30, 35Q72, 35K22.

Citation:

Article Metrics

HTML views() PDF downloads(110) Cited by(0)

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

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

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

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content