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《Journal of Nanjing University(Mathematical Biquarterly)》 2018-01
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REGULARITY CRITERION AND VANISHING VISCOSITY LIMIT OF ERICKSEN-LESLIE'S PARABOLIC-HYPERBOLIC LIQUID CRYSTALS MODEL

Lu Shengqi;Chen Miaochao;Liu Qilin;Department of Mathematics, Sanjiang University;School of Applied Mathematics, Chaohu University;School of Applied Mathematics, Southeast University;  
We prove a regularity criterion and vanishing viscosity limit of local strong solutions for an Ericksen-Leslie's model when the space dimension n = 3. We also prove a local well-posedness result of the 3 D generalized wave maps.
【Fund】: supported by the key project of university natural science of Anhui province
【CateGory Index】: O175
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