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.
FAN JiShan1 & GUO BoLing2 1 College of Information Science and Technology, Nanjing Forestry University, Nanjing 210037, China 2 Institute of Applied Physics and Computational Mathematics, P. O. Box 8009, Beijing 100088, China