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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap3777-12-2015, author = {Zujin Zhang and Xian Yang}, title = {Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients}, journal = {Annales Polonici Mathematici}, volume = {116}, year = {2016}, pages = {87-99}, zbl = {06545359}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3777-12-2015} }
Zujin Zhang; Xian Yang. Remarks on the blow-up criterion for the MHD system involving horizontal components or their horizontal gradients. Annales Polonici Mathematici, Tome 116 (2016) pp. 87-99. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap3777-12-2015/