About this Journal Submit a Manuscript Table of Contents
Discrete Dynamics in Nature and Society
Volume 2013 (2013), Article ID 925629, 6 pages
http://dx.doi.org/10.1155/2013/925629
Research Article

Global Regularity Criterion for the Magneto-Micropolar Fluid Equations

1Changchun Finance College, Changchun, Jilin 130028, China
2Shandong Transport Vocational College, Weifang, Shandong 261206, China

Received 24 December 2012; Accepted 22 February 2013

Academic Editor: Hua Su

Copyright © 2013 Fanhui Meng and Gang Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. B. Yuan, “Regularity of weak solutions to magneto-micropolar fluid equations,” Acta Mathematica Scientia B, vol. 30, no. 5, pp. 1469–1480, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  2. J. Yuan, “Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations,” Mathematical Methods in the Applied Sciences, vol. 31, no. 9, pp. 1113–1130, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  3. F. Xu, “Regularity criterion of weak solution for the 3D magneto-micropolar fluid equations in Besov spaces,” Communications in Nonlinear Science and Numerical Simulation, vol. 17, no. 6, pp. 2426–2433, 2012. View at Publisher · View at Google Scholar · View at MathSciNet
  4. H. Triebel, Theory of Function Spaces, vol. 78 of Monographs in Mathematics, Birkhäuser, Basel, Switzerland, 1983. View at Publisher · View at Google Scholar · View at MathSciNet
  5. J.-Y. Chemin, Perfect Incompressible Fluids, vol. 14 of Oxford Lecture Series in Mathematics and its Applications, Oxford University Press, New York, NY, USA, 1998. View at Zentralblatt MATH · View at MathSciNet
  6. J.-Y. Chemin and N. Lerner, “Flot de champs de vecteurs non lipschitziens et équations de Navier-Stokes,” Journal of Differential Equations, vol. 121, no. 2, pp. 314–328, 1995. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  7. T. Kato and G. Ponce, “Commutator estimates and the Euler and Navier-Stokes equations,” Communications on Pure and Applied Mathematics, vol. 41, no. 7, pp. 891–907, 1988. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet