Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows

Hao Wu

doi:10.3934/dcds.2010.26.379

Article Contents

2010, Volume 26, Issue 1: 379-396. Doi: 10.3934/dcds.2010.26.379

This issue Previous Article A note on the coding of orbits in certain discontinuous maps Next Article Ergodic optimization for generic continuous functions

Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows

Hao Wu^1,

1.
School of Mathematical Sciences, Fudan University, Han Dan Road 220, 200433 Shanghai

Received: January 31, 2009

Revised: July 31, 2009

Published: February 2010

Abstract Related Papers Cited by

Abstract

We study a simplified system of the original Ericksen-Leslie equations for the flow of nematic liquid crystals. This is a coupled non-parabolic dissipative dynamic system. We show the convergence of global classical solutions to single steady states as time goes to infinity by using the Łojasiewicz-Simon approach. Moreover, we provide an estimate on the convergence rate.

Keywords:

Mathematics Subject Classification: Primary: 35B40, 35B41, 35Q35; Secondary: 76D05.

Citation:

Article Metrics

HTML views() PDF downloads(129) Cited by(0)

Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Long-time behavior for nonlinear hydrodynamic system modeling the nematic liquid crystal flows

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content