کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4610696 | 1338579 | 2014 | 24 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the blow-up criterion and small data global existence for the Hall-magnetohydrodynamics
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In this paper, we establish an optimal blow-up criterion for classical solutions to the incompressible resistive Hall-magnetohydrodynamic equations. We also prove two global-in-time existence results of the classical solutions for small initial data, the smallness conditions of which are given by the suitable Sobolev and the Besov norms respectively. Although the Sobolev space version is already an improvement of the corresponding result in [4], the optimality in terms of the scaling property is achieved via the Besov space estimate. The special property of the energy estimate in terms of B˙2,1s norm is essential for this result. Contrary to the usual MHD the global well-posedness in the 212 dimensional Hall-MHD is wide open.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 256, Issue 11, 1 June 2014, Pages 3835–3858
Journal: Journal of Differential Equations - Volume 256, Issue 11, 1 June 2014, Pages 3835–3858
نویسندگان
Dongho Chae, Jihoon Lee,