Global solution to the incompressible flow of liquid crystals

Details Global solution to the incompressible flow of liquid crystals Global solution to the incompressible flow of liquid crystals

2011-08-27

arxiv.org/abs/1108.5477v1

Mathematics

Analysis of PDEs

arXiv admin note: substantial text overlap with arXiv:0906.4802

Scientific paper

The initial boundary value problem for the three-dimensional incompressible flow of liquid crystals is considered in a bounded smooth domain. The existence and uniqueness is established for both the local strong solution with large initial data and the global strong solution with small data. It is also proved that when the strong solution exists, a weak solution must be equal to the unique strong solution with the same data.

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