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

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

2009-06-25

arxiv.org/abs/0906.4802v1

Mathematics

Analysis of PDEs

Scientific paper

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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