Global solution to liquid crystal flows in three dimensions

Details Global solution to liquid crystal flows in three dimensions Global solution to liquid crystal flows in three dimensions

2011-04-17

arxiv.org/abs/1104.3301v2

Mathematics

Analysis of PDEs

Scientific paper

In this paper, we mainly study a hydrodynamic system modeling the flow of
nematic liquid crystals. In three dimensions, we first establish local
well-posedness of the initial-boundary value problem of the system. Then, we
prove the existence of global strong solution to the system with small
initial-boundary condition.

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