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A Remark on the Beale-Kato-Majda Criterion for the 3D MHD Equations with Zero Kinematic Viscosity

A Remark on the Beale-Kato-Majda Criterion for the 3D MHD Equations with Zero Kinematic Viscosity
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摘要 In this paper, we study the blow-up criterion of smooth solutions to the 3D magneto-hydrodynamic system in B^0∞,∞. We show that a smooth solution of the 3D MHD equations with zero kinematic viscosity in the whole space R3 breaks down if and only if certain norm of the vorticity blows up at the same time. In this paper, we study the blow-up criterion of smooth solutions to the 3D magneto-hydrodynamic system in B^0∞,∞. We show that a smooth solution of the 3D MHD equations with zero kinematic viscosity in the whole space R3 breaks down if and only if certain norm of the vorticity blows up at the same time.
作者 Sadek GALA Xiao-chun CHEN
机构地区 Department of Mathematics Department of Mathematics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2012年第2期209-214,共6页 应用数学学报（英文版）
关键词 Magneto-hydrodynamic equations with zero viscosity B^0∞ ∞ space blow-up criterion Magneto-hydrodynamic equations with zero viscosity, B^0∞,∞ space, blow-up criterion
分类号 O175 [理学—基础数学] O361.3 [理学—流体力学]
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  • 1Beale, J.T., Kato, T., Majda, A.J. Remarks on the breakdown of smooth solutions for the 3-D Euler equations. Comm. Math. Phys., 94:61-66 (1984)
  • 2Bergh, J., Lofstrom, J. Interpolation spaces, An Introduction. Springer-Verlag, New York, 1976
  • 3Caflisch, R.E., I. Klapper, I., Steele, G. Remarks on singularities, dimension and energy dissipation for ideal hydrodynamics and MHD. Comm. Math. Phys., 184:443-455 (1997)
  • 4Frazier. M., Tortes, R., Weiss, G. The boundedness of Caldern-Zygmund operators on the spaces F^αq p.Rev. Mat. Iberoamericana 4:41-72 (1988)
  • 5Kozono, H., Ogawa, T., Taniuchi, Y. The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations. Math. Z., 242:251-278 (2002)
  • 6Majda, A.J. Compressible fluid flow and systems of conservation laws in several space variables. Applied Mathematical Sciences, 53, Springer-Verlag, New York, 1984
  • 7Majda, A.J. Bertozzi, A.L. Vorticity and incompressible flow. Cambridge Texts in Applied Mathematics,27, Cambridge University Press, Cambridge, 2002
  • 8wStein, E.M. Harmonic analysis: real-variable methods, orthogonality, and oscillatory integrals. Princeton University Press, Princeton, 1993
  • 9Tribel, H. Theory of Function Spaces.Monograph in mathematics, Vol.78, Birkhauser Verlag, Basel, 1983

共引文献8

Acta Mathematicae Applicatae Sinica
2012年 第2期

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