Global strong solution to the density-dependent incompressible flow of liquid crystals

Details Global strong solution to the density-dependent incompressible flow of liquid crystals Global strong solution to the density-dependent incompressible flow of liquid crystals

2012-02-05

arxiv.org/abs/1202.1011v1

Mathematics

Analysis of PDEs

arXiv admin note: substantial text overlap with arXiv:1108.5477

Scientific paper

The initial-boundary value problem for the density-dependent incompressible flow of liquid crystals is studied in a three-dimensional bounded smooth domain. For the initial density away from vacuum, 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 with the same data must be equal to the unique strong solution.

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