期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 13, 期 2, 页码 850-859出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2011.08.021
关键词
Blowup criterion; Compressible micropolar fluids; Vacuum states
We prove that the maximum norm of velocity gradients controls the possible breakdown of smooth (strong) solutions for the 3-dimensional viscous, compressible micropolar fluids. More precisely, if a solution of the system is initially regular and loses its regularity at some later time, then the loss of regularity implies the growth without the bound of the velocity gradients as the critical time approaches. Our result is a generalization of Huang et al. (2011) [13] from viscous barotropic flows to the viscous, compressible micropolar fluids. In addition, initial vacuum states are also allowed in our result. (C) 2011 Elsevier Ltd. All rights reserved.
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