کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6417068 | 1338520 | 2016 | 34 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the well-posedness of 2-D incompressible Navier-Stokes equations with variable viscosity in critical spaces
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the well-posedness of 2-D incompressible Navier-Stokes equations with variable viscosity in critical spaces On the well-posedness of 2-D incompressible Navier-Stokes equations with variable viscosity in critical spaces](/preview/png/6417068.png)
چکیده انگلیسی
In this paper, we first prove the local well-posedness of the 2-D incompressible Navier-Stokes equations with variable viscosity in critical Besov spaces with negative regularity indices, without smallness assumption on the variation of the density. The key is to prove for pâ(1,4) and aâBËp,12p(R2) that the solution mapping Ha:Fâ¦âÎ to the 2-D elliptic equation div((1+a)âÎ )=divF is bounded on BËp,12pâ1(R2). More precisely, we prove thatââÎ âBËp,12pâ1â¤C(1+âaâBËp,12p)2âFâBËp,12pâ1. The proof of the uniqueness of solution to (1.2) relies on a Lagrangian approach [15-17]. When the viscosity coefficient μ(Ï) is a positive constant, we prove that (1.2) is globally well-posed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 260, Issue 8, 15 April 2016, Pages 6604-6637
Journal: Journal of Differential Equations - Volume 260, Issue 8, 15 April 2016, Pages 6604-6637
نویسندگان
Huan Xu, Yongsheng Li, Xiaoping Zhai,