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

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  • Yong Zhou
  • Jishan Fan
  • Gen Nakamura

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 .

Suggested Citation

  • Yong Zhou & Jishan Fan & Gen Nakamura, 2013. "Global Strong Solution to the Density-Dependent 2-D Liquid Crystal Flows," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-5, March.
    • Handle: RePEc:hin:jnlaaa:947291
    DOI: 10.1155/2013/947291
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