Global Strong Solution to the Density-Dependent 2-D Liquid Crystal Flows

Yong Zhou, Jishan Fan and Gen Nakamura

Abstract and Applied Analysis, 2013, vol. 2013, 1-5

Abstract:

The initial-boundary value problem for the density-dependent flow of nematic crystals is studied in a 2-D bounded smooth domain. For the initial density away from vacuum, the existence and uniqueness is proved for the global strong solution with the large initial velocity and small . We also give a regularity criterion of the problem with the Dirichlet boundary condition , on .

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:947291

DOI: 10.1155/2013/947291

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