Regularity of Weak Solutions to the 3D Magneto-Micropolar Equations in Besov Spaces
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DOI: 10.1007/s10440-018-0220-z
Abstract: This paper deals with the regularity of weak solutions to the 3D magneto-micropolar fluid equations in Besov spaces. It is shown that for 0≤α≤1$0\le\alpha\le1$ if u∈L21+α(0,T;B˙∞,∞α)$u\in L^{\frac{2}{1+\alpha}}(0,T; \dot{B}_{\infty,\infty}^{\alpha})$, then the weak solution (u,ω,b)$(u,\omega ,b)$ is… read more here.
Keywords: regularity weak; besov spaces; magneto micropolar; weak solutions ... See more keywords
Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions
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DOI: 10.1063/5.0010026
Abstract: In this paper, we study the interior differentiability of a weak solution u ∈ Vp(x) to a nonlinear problem (1.2), which arises in electroheological fluids (ERFs) in an open bounded domain Ω⊂Rd, d = 2,… read more here.
Keywords: solutions class; nonlinear problem; weak solution; weak solutions ... See more keywords