کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8900111 1631556 2018 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Vanishing diffusivity limit for the 3D heat-conductive Boussinesq equations with a slip boundary condition
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Vanishing diffusivity limit for the 3D heat-conductive Boussinesq equations with a slip boundary condition
چکیده انگلیسی
In this paper, we consider the 3D heat-conductive Boussinesq equations with a slip boundary condition for the velocity field and Neumann boundary condition for the temperature. We prove that there exists an interval of time which is uniform for the heat conductivity coefficient κ and for which the 3D heat-conductive Boussinesq equations have a strong solution. The solution is uniformly bounded in some spaces with respect to κ. Based on these uniform estimates, we establish the vanishing diffusivity limit for the Boussinesq equations and also obtain the convergence rates for the velocity field and the temperature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 460, Issue 1, 1 April 2018, Pages 47-57
نویسندگان
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