Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients
Tom 116 / 2016
Annales Polonici Mathematici 116 (2016), 87-99
MSC: Primary 35B65; Secondary 35Q35, 76D03.
DOI: 10.4064/ap3777-12-2015
Opublikowany online: 3 December 2015
Streszczenie
We study the Cauchy problem for the MHD system, and provide two regularity conditions involving horizontal components (or their gradients) in Besov spaces. This improves previous results.