کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5774323 1413556 2017 28 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The regularized 3D Boussinesq equations with fractional Laplacian and no diffusion
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The regularized 3D Boussinesq equations with fractional Laplacian and no diffusion
چکیده انگلیسی
In this paper, we study the 3D regularized Boussinesq equations. The velocity equation is regularized à la Leray through a smoothing kernel of order α in the nonlinear term and a β-fractional Laplacian; we consider the critical case α+β=54 and we assume 12<β<54. The temperature equation is a pure transport equation, where the transport velocity is regularized through the same smoothing kernel of order α. We prove global well posedness when the initial velocity is in Hr and the initial temperature is in Hr−β for r>max⁡(2β,β+1). This regularity is enough to prove uniqueness of solutions. We also prove a continuous dependence of solutions on the initial conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 262, Issue 3, 5 February 2017, Pages 1822-1849
نویسندگان
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