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Global Solution to the Three-Dimensional Incompressible Flow of Liquid Crystals

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Abstract

The equations for the three-dimensional incompressible flow of liquid crystals are considered in a smooth bounded domain. The existence and uniqueness of the global strong solution with small initial data are established. It is also proved that when the strong solution exists, all the global weak solutions constructed in [16] must be equal to the unique strong solution.

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  1. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, 15260, USA

    Xianpeng Hu & Dehua Wang

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  1. Xianpeng Hu
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  2. Dehua Wang
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Correspondence to Dehua Wang.

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Communicated by P. Constantin

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Hu, X., Wang, D. Global Solution to the Three-Dimensional Incompressible Flow of Liquid Crystals. Commun. Math. Phys. 296, 861–880 (2010). https://doi.org/10.1007/s00220-010-1017-8

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  • DOI: https://doi.org/10.1007/s00220-010-1017-8

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