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.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_ap170505_18_10,
     author = {Cung The Anh and Dang Thanh Son and Vu Manh Toi},
     title = {Regularity of global attractor for a {3D} magnetohydrodynamic-$\alpha $ model},
     journal = {Annales Polonici Mathematici},
     pages = {97--114},
     publisher = {mathdoc},
     volume = {120},
     number = {2},
     year = {2017},
     doi = {10.4064/ap170505-18-10},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap170505-18-10/}
}
TY  - JOUR
AU  - Cung The Anh
AU  - Dang Thanh Son
AU  - Vu Manh Toi
TI  - Regularity of global attractor for a 3D magnetohydrodynamic-$\alpha $ model
JO  - Annales Polonici Mathematici
PY  - 2017
SP  - 97
EP  - 114
VL  - 120
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap170505-18-10/
DO  - 10.4064/ap170505-18-10
LA  - en
ID  - 10_4064_ap170505_18_10
ER  - 
%0 Journal Article
%A Cung The Anh
%A Dang Thanh Son
%A Vu Manh Toi
%T Regularity of global attractor for a 3D magnetohydrodynamic-$\alpha $ model
%J Annales Polonici Mathematici
%D 2017
%P 97-114
%V 120
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap170505-18-10/
%R 10.4064/ap170505-18-10
%G en
%F 10_4064_ap170505_18_10
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. http://geodesic.mathdoc.fr/articles/10.4064/ap170505-18-10/

Cité par Sources :