Yuan, Baoquan Blow up criterion of smooth solutions to the MHD equations in Besov spaces. (English) Zbl 1081.35091 J. Syst. Sci. Complex. 18, No. 2, 277-284 (2005). Summary: We discuss logarithmic Sobolev inequalities in Besov spaces, and show their applications to the blow up criterion of smooth solutions to the incompressible magneto-hydrodynamics equations. Cited in 4 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 76W05 Magnetohydrodynamics and electrohydrodynamics 26D10 Inequalities involving derivatives and differential and integral operators 35B40 Asymptotic behavior of solutions to PDEs Keywords:logarithmic Sobolev inequalities; Besov spaces; blow up criterion; magneto-hydrodynamics equations PDFBibTeX XMLCite \textit{B. Yuan}, J. Syst. Sci. Complex. 18, No. 2, 277--284 (2005; Zbl 1081.35091)