[1] Chemin J Y. Perfect Incompressible Fluids. New York: Oxford University Press, 1998
[2] Chen Q, Miao C, Zhang Z. The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations. Commun Math Physics, 2007, 275: 861--872
[3] Chen Q, Miao C, Zhang Z. On the regularity criterion of weak solution for the 3D viscous magneto-hydrodynamics equations. Commun Math Physics, 2008, 284(3): 919--930
[4] Cheskidov A, Shvydkoy R. On the reularity of weak solutions of the 3d Navier-Stokes equations in B-1∞,∞. Preprint
[5] Duvaut G, Lions J L. Inéquations en thermoélasticit'et magn\'eto-hydrodynamique. Arch Rational Mech Anal, 1972, 46: 241--279
[6] He C, Xin Z. On the regularity of weak solutions to the magneto-hydrodynamic equations. J Diff Equations, 2005, 213: 235--254
[7] Hopf E. Uber die aufangswertaufgabe fÜr die hydrodynamischen grundgliechungen. Math Nachr, 1951, 4: 213--231
[8] Leray J. Essai sur les mouvements plans d'un liquide visqueux que limitent des parois. J Math Pures et Appl, 1934, 13: 331--418
[9] Meyer Y. Wavelets and Operators. Cambridge: Cambridge University Press, 1992
[10] Triebel H. Theory of Function Spaces. Monograph in Mathematics, Vol 78. Basel: Birkhauser Verlag, 1983
[11] Wu J. Analytic results related to magneto-hydrodynamics turbulence. Phys D, 2000, 136: 353--372
[12] Wu J. Bounds and new approaches for the 3D MHD equations. J Nonlinear Sci, 2002, 12: 395--413
[13] Wu J. Regularity results for weak solutions of the 3D MHD equations. Discrete Contin Dynam Systems, 2004, 10: 543--556
[14] Wu J. Regularity criteria for the generalized MHD equations. Comm Partial Differential Equations, 2008, 33: 285--306 |