Globally weak solutions to the flow of compressible  liquid crystals  system

Xian-Gao Liu; Jie Qing

doi:10.3934/dcds.2013.33.757

Article Contents

2013, Volume 33, Issue 2: 757-788. Doi: 10.3934/dcds.2013.33.757

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Globally weak solutions to the flow of compressible liquid crystals system

Xian-Gao Liu^1, and
Jie Qing^2,

1.
Institute of Mathematics, Fudan University, Shanghai
2.
Mathematics Department, UC at Santa Cruz

Received: June 30, 2011

Revised: September 30, 2011

Published: January 2013

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Abstract

We study a simplified system for the compressible fluid of Nematic Liquid Crystals in a bounded domain in three Euclidean space and prove the global existence of the finite energy weak solutions.

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Mathematics Subject Classification: 76N10, 35Q35, 35Q30.

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