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Fan, JiShan; Guo, BoLing

Regularity criterion to some liquid crystal models and the Landau-Lifshitz equations in \(\mathbb R^{3}\). (English) Zbl 1181.35190

Sci. China, Ser. A 51, No. 10, 1787-1797 (2008).
Summary: We consider the regularity problem under the critical condition to some liquid crystal models and the Landau-Lifshitz equations. The Serrin type reularity criteria are obtained in the terms of the Besov spaces.

Cited in 15 Documents

MSC:

35Q35 PDEs in connection with fluid mechanics
35D30 Weak solutions to PDEs
35B65 Smoothness and regularity of solutions to PDEs
76A15 Liquid crystals

Keywords:

liquid crystal; Landau-Lifshitz equations; critical condition; Besov space
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\textit{J. Fan} and \textit{B. Guo}, Sci. China, Ser. A 51, No. 10, 1787--1797 (2008; Zbl 1181.35190)
Full Text: DOI

References:

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