کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
7222037 | 1470386 | 2018 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global regularity of the 2D anisotropic magnetic Bénard system with vertical dissipation
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Global regularity of the 2D anisotropic magnetic Bénard system with vertical dissipation Global regularity of the 2D anisotropic magnetic Bénard system with vertical dissipation](/preview/png/7222037.png)
چکیده انگلیسی
This paper studies the Cauchy problem to the two-dimensional (2D) anisotropic magnetic Bénard system with partial dissipation. The system considered in this paper has only vertical dissipation. We establish here the global regularity of classical solutions to this system. In proving the global regularity of classical solutions, the main difficulties are the absence of the horizontal dissipation and the presence of the buoyancy force term θe2 as well as the Rayleigh-Bénard convection term u2. To overcome them, we establish two new Gronwall type inequalities, which may be of independent interest. In addition, the global regularity of the 2D magnetic Bénard system with vertical dissipation, vertical magnetic diffusion and horizontal thermal diffusivity also holds true. This settles the global regularity issue unsolved in the previous works.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 43, October 2018, Pages 407-427
Journal: Nonlinear Analysis: Real World Applications - Volume 43, October 2018, Pages 407-427
نویسندگان
Zhuan Ye,