Geodesic
Regularity of global attractor for a 3D magnetohydrodynamic-$\alpha $ model
Cung The Anh1 ; Dang Thanh Son2 ; Vu Manh Toi3
1 Department of Mathematics Hanoi National University of Education 136 Xuan Thuy, Cau Giay Hanoi, Vietnam
2 Foundation Sciences Faculty Telecommunications University 101 Mai Xuan Thuong Nha Trang, Khanh Hoa, Vietnam
3 Faculty of Computer Science and Engineering Thuyloi University 175 Tay Son, Dong Da Hanoi, Vietnam
Annales Polonici Mathematici, Tome 120 (2017) no. 2, pp. 97-114 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider a 3D magnetohydrodynamic-$\alpha $ (MHD-$\alpha $ for short) model with periodic boundary conditions. Under suitable assumptions on the external force, we prove both Sobolev regularity and Gevrey regularity of the compact global attractor for the continuous semigroup associated to this model.
DOI : 10.4064/ap170505-18-10
Keywords: consider magnetohydrodynamic alpha mhd alpha short model periodic boundary conditions under suitable assumptions external force prove sobolev regularity gevrey regularity compact global attractor continuous semigroup associated model

Cung The Anh 1 ; Dang Thanh Son 2 ; Vu Manh Toi 3

1 Department of Mathematics Hanoi National University of Education 136 Xuan Thuy, Cau Giay Hanoi, Vietnam
2 Foundation Sciences Faculty Telecommunications University 101 Mai Xuan Thuong Nha Trang, Khanh Hoa, Vietnam
3 Faculty of Computer Science and Engineering Thuyloi University 175 Tay Son, Dong Da Hanoi, Vietnam 
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     title = {Regularity of global attractor for a {3D} magnetohydrodynamic-$\alpha $ model},
     journal = {Annales Polonici Mathematici},
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Cung The Anh; Dang Thanh Son; Vu Manh Toi. Regularity of global attractor for a 3D magnetohydrodynamic-$\alpha $ model. Annales Polonici Mathematici, Tome 120 (2017) no. 2, pp. 97-114. doi: 10.4064/ap170505-18-10

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