Regularity and decay of 3D incompressible MHD equations with nonlinear damping terms
Zhuan Ye
Colloquium Mathematicae, Tome 139 (2015), p. 185-203 / Harvested from The Polish Digital Mathematics Library
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We prove the existence and uniqueness of global strong solutions to the Cauchy problem for 3D incompressible MHD equations with nonlinear damping terms. Moreover, the preliminary L² decay for weak solutions is also established.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:283615 
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     author = {Zhuan Ye},
     title = {Regularity and decay of 3D incompressible MHD equations with nonlinear damping terms},
     journal = {Colloquium Mathematicae},
     volume = {139},
     year = {2015},
     pages = {185-203},
     zbl = {1316.35247},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm139-2-3}
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Zhuan Ye. Regularity and decay of 3D incompressible MHD equations with nonlinear damping terms. Colloquium Mathematicae, Tome 139 (2015) pp. 185-203. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm139-2-3/