Conditional regularity for the 3D incompressible MHD equations partial components

0511586 - ÚH 2020 RIV US eng J - Článek v odborném periodiku
Wang, H. - Li, Y. - Guo, Z. - Skalák, Zdeněk
Conditional regularity for the 3D incompressible MHD equations partial components.
Communications in Mathematical Sciences. Roč. 17, č. 4 (2019), s. 1025-1043. ISSN 1539-6746. E-ISSN 1539-6746
Grant CEP: GA ČR(CZ) GA18-09628S
Institucionální podpora: RVO:67985874
Klíčová slova: MHD equations * regularitycriteria * partial components
Obor OECD: Fluids and plasma physics (including surface physics)
Impakt faktor: 0.858, rok: 2019
Způsob publikování: Omezený přístup
https://www.intlpress.com/site/pub/pages/journals/items/cms/content/vols/0017/0004/a008/index.php?mode=ns

In this paper we establish some new regularity criteria for the three dimensional incompressible magnetohydrodynamic (MHD) equations. Particularly, we prove that if ∇u3 and the horizontal magnetic field bh=(b1,b2) satisfy certain integrable conditions with respect to space and time variables in Lebesgue spaces, then a weak solution (u,b) is actually regular. Moreover, we obtain a regularity criterion in the framework of scaling invariance.
Trvalý link: http://hdl.handle.net/11104/0301822