Blow-Up Criteria and Regularity Criterion for the Three-Dimensional Magnetic Bénard System in the Multiplier Space
Sign Up to like & getrecommendations! Published in 2018 at "Results in Mathematics"
DOI: 10.1007/s00025-018-0860-3
Abstract: This study is devoted to investigating the blow-up criteria of strong solutions and regularity criterion of weak solutions for the magnetic Bénard system in $$\mathbb {R}^3$$R3 in a sense of scaling invariant by employing a… read more here.
Keywords: system; magnetic nard; nard system; mathbb ... See more keywords
Regularity criteria for the two-and-half-dimensional magnetic Bénard system with partial dissipation, magnetic diffusion, and thermal diffusivity
Sign Up to like & getrecommendations! Published in 2019 at "Boundary Value Problems"
DOI: 10.1186/s13661-019-1130-3
Abstract: This paper concentrates on the global regularity of classical solution to the 212$2\frac{1}{2}$D magnetic Bénard system with partial dissipation, magnetic diffusion, and thermal diffusivity (i.e., horizontal dissipation, horizontal magnetic diffusion, and horizontal thermal diffusivity; vertical… read more here.
Keywords: dissipation; thermal diffusivity; magnetic diffusion; magnetic nard ... See more keywords
An Improved Regularity Criterion for the 3D Magnetic Bénard System in Besov Spaces
Sign Up to like & getrecommendations! Published in 2022 at "Symmetry"
DOI: 10.3390/sym14091918
Abstract: This article notably targets the more general (extended) function spaces by investigating the regularity of the weak solutions or turbulent solutions to the Cauchy problem of the 3D magnetic Bénard system by converting it into… read more here.
Keywords: magnetic nard; besov spaces; regularity; nard system ... See more keywords