On the temporal decay of solutions to the two‐dimensional nematic liquid crystal flows |
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| Authors: | Qiao Liu |
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| Affiliation: | 1. Institute of Applied Physics and Computational Mathematics, Beijing, P. R. China;2. Department of Mathematical, Hunan Normal University, Changsha, Hunan, P. R. China |
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| Abstract: | We consider the temporal decay estimates for weak solutions to the two‐dimensional nematic liquid crystal flows, and we show that the energy norm of a global weak solution has non‐uniform decay ![urn:x-wiley:0025584X:media:mana201400313:mana201400313-math-0001]( "urn:x-wiley:0025584X:media:mana201400313:mana201400313-math-0001") under suitable conditions on the initial data. We also show the exact rate of the decay (uniform decay) of the energy norm of the global weak solution. |
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| Keywords: | Nematic liquid crystal flow temporal decay Fourier splitting method 76A15 35B65 35Q35 |
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