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- W2480522073 abstract "The present paper is devoted to the well-posedness issue of solutions of a full system ofthe $3$-$D$ incompressible magnetohydrodynamic(MHD) equations. By means of Littlewood-Paley analysis we prove the global well-posedness of solutions in the Besov spaces $dot{B}_{2,1}^frac1{2}times B_{2,1}^frac3{2}times B_{2,1}^frac3{2}$ provided the norm of initial data is small enough in the sense that begin{align*} big(|u_0^h|_{dot{B}_{2,1}^frac1{2}}+|E_0|_{B_{2,1}^frac{3}{2}}+|B_0|_{B_{2,1}^frac{3}{2}}big)expBig{frac{C_0}{nu^2}|u_0^3|_{dot{B}_{2,1}^frac1{2}}^2Big}leq c_0, end{align*} for some sufficiently small constant $c_0.$" @default.
- W2480522073 created "2016-08-23" @default.
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- W2480522073 date "2016-07-01" @default.
- W2480522073 modified "2023-09-27" @default.
- W2480522073 title "On the global well-posedness to the 3-D Navier-Stokes-Maxwell system" @default.
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- W2480522073 doi "https://doi.org/10.3934/dcds.2016056" @default.
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