Geodesic
Global regularity for the 3D MHD system with\nobreakspace {}damping
Zujin Zhang 1   ; Xian Yang 2
1 School of Mathematics and Computer Science Gannan Normal University Ganzhou 341000, Jiangxi, P.R. China
2 Foreign Languages Department Ganzhou Teachers College Ganzhou 341000, Jiangxi, P.R. China
Colloquium Mathematicum, Tome 145 (2016) no. 1, pp. 107-110 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study the Cauchy problem for the 3D MHD system with damping terms $\varepsilon |\boldsymbol {u}|^{\alpha -1}\boldsymbol {u}$ and $\delta |\boldsymbol {b}|^{\beta -1}\boldsymbol {b}$ ($\varepsilon ,\delta \gt 0$ and $\alpha ,\beta \geq 1$), and show that the strong solution exists globally for any $\alpha ,\beta \gt 3$. This improves the previous results significantly.
DOI : 10.4064/cm6654-9-2015
Keywords: study cauchy problem mhd system damping terms varepsilon boldsymbol alpha boldsymbol delta boldsymbol beta boldsymbol varepsilon delta alpha beta geq strong solution exists globally alpha beta improves previous results significantly

Zujin Zhang  1   ; Xian Yang  2

1 School of Mathematics and Computer Science Gannan Normal University Ganzhou 341000, Jiangxi, P.R. China
2 Foreign Languages Department Ganzhou Teachers College Ganzhou 341000, Jiangxi, P.R. China 
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     title = {Global regularity for the {3D} {MHD} system with\nobreakspace {}damping},
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Zujin Zhang; Xian Yang. Global regularity for the 3D MHD system with\nobreakspace {}damping. Colloquium Mathematicum, Tome 145 (2016) no. 1, pp. 107-110. doi: 10.4064/cm6654-9-2015

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