Global Strong Solution to the Density-Dependent 2-D Liquid Crystal Flows
The initial-boundary value problem for the density-dependent flow of nematic crystals is studied in a 2-D bounded smooth domain. For the initial density away from vacuum, the existence and uniqueness is proved for the global strong solution with the large initial velocity u0 and small ∇d0. We also g...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/947291 |
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| Summary: | The initial-boundary value problem for the density-dependent flow of nematic crystals is studied in a 2-D bounded smooth domain. For the initial density away from vacuum, the existence and uniqueness is proved for the global strong solution with the large initial velocity u0 and small ∇d0. We also give a regularity criterion ∇d∈Lp(0,T;Lq(Ω)) (2/q)+(2/p)=1, 2<q≤∞ of the problem with the Dirichlet boundary condition u=0, d=d0 on ∂Ω. |
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| ISSN: | 1085-3375 1687-0409 |