Global regularity for the 3D MHD system with damping

Zujin Zhang; Xian Yang

Zujin Zhang ; Xian Yang

Colloquium Mathematicae, Tome 144 (2016), p. 107-110 / Harvested from The Polish Digital Mathematics Library

Résumé

We study the Cauchy problem for the 3D MHD system with damping terms ${ε | u |}^{α - 1} u$ and ${δ | b |}^{β - 1} b$ (ε, δ > 0 and α, β ≥ 1), and show that the strong solution exists globally for any α, β > 3. This improves the previous results significantly.

Publié le : 2016-01-01

Zbl 06602773

EUDML-ID : urn:eudml:doc:286475

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     author = {Zujin Zhang and Xian Yang},
     title = {Global regularity for the 3D MHD system with damping},
     journal = {Colloquium Mathematicae},
     volume = {144},
     year = {2016},
     pages = {107-110},
     zbl = {06602773},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6654-9-2015}
}

Zujin Zhang; Xian Yang. Global regularity for the 3D MHD system with damping. Colloquium Mathematicae, Tome 144 (2016) pp. 107-110. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm6654-9-2015/