کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774029 | 1413540 | 2017 | 37 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global well-posedness for axisymmetric MHD system with only vertical viscosity
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we are concerned with the global well-posedness of a tri-dimensional MHD system with only vertical viscosity in velocity equation for the large axisymmetric initial data. By making good use of the axisymmetric structure of flow and the maximal smoothing effect of vertical diffusion, we show that sup2â¤p<ââ¡â«0tââzu(Ï)âLp2p3/4dÏ<â. With this regularity for the vertical first derivative of velocity vector field, we further establish losing estimates for the anisotropy tri-dimensional MHD system to get the high regularity of (u,b), which guarantees that â«0tââu(Ï)âLâdÏ<â. This together with the classical commutator estimate entails the global regularity of a smooth solution.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 5, 5 September 2017, Pages 2954-2990
Journal: Journal of Differential Equations - Volume 263, Issue 5, 5 September 2017, Pages 2954-2990
نویسندگان
Quansen Jiu, Huan Yu, Xiaoxin Zheng,