BMO and the regularity criterion for weak solutions to the magnetohydrodynamic equations

Journal of Mathematical Analysis and Applications

Volumn 328, Issue 2, 2007, Pages 1082-1086

  Wang, Yun ^a  

^a INSTITUTE OF APPLIED MATHEMATICS   (China)

Author keywords

Magnetohydrodynamic equations; Regularity criteria

Indexed keywords

EID: 33845864178     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.05.054     Document Type: Article

References (8)

1. Coifman R., Lions P.L., Meyer Y., and Semmes S. Compensated compactness and Hardy spaces. J. Math. Pures Appl. 72 (1993) 247-286
2. Duraut G., and Lions J.L. Inéquations en thermoélasticité et magnéto-hydrodynamique. Arch. Ration. Mech. Anal. 46 (1972) 241-279
3. Hasegawa A. Self-organization processes in continuous media. Adv. Phys. 34 (1985) 1-42
4. He C., and Xin Z. On the regularity of solutions to the magneto-hydrodynamic equations. J. Differential Equations 213 2 (2005) 235-254
5. Jiu Q., and He C. Remarks on the regularity to 3-D ideal magnetohydrodynamic equations. Acta Math. Sinica 20 (2004) 695-708
6. Kozono H., and Taniuchi Y. Bilinear estimates in BMO and the Navier-Stokes equations. Math. Z. 235 (2000) 173-194
7. Politano H., Pouquet A., and Sulem P.L. Current and vorticity dynamics in three-dimensional magnetohydrodynamics turbulence. Phys. Plasmas 2 (1995) 2931-2939
8. Sermange M., and Teman R. Some mathematical questions related to the MHD equations. Comm. Pure Appl. Math. 36 (1983) 635-664