کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8899518 | 1631546 | 2018 | 41 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global well-posedness of 3-D inhomogeneous Navier-Stokes system with initial velocity being a small perturbation of 2-D solenoidal vector field
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Global well-posedness of 3-D inhomogeneous Navier-Stokes system with initial velocity being a small perturbation of 2-D solenoidal vector field Global well-posedness of 3-D inhomogeneous Navier-Stokes system with initial velocity being a small perturbation of 2-D solenoidal vector field](/preview/png/8899518.png)
چکیده انگلیسی
Motivated by [21], we consider the global wellposedness to the 3-D incompressible inhomogeneous Navier-Stokes equations with large horizontal velocity. In particular, we proved that when the initial density is close enough to a positive constant, then given divergence free initial velocity field of the type (v0h,0)(xh)+(w0h,w03)(xh,x3), we shall prove the global wellposedness of (1.1). The main difficulty here lies in the fact that we will have to obtain the L1(R+;Lip(R3)) estimate for convection velocity in the transport equation of (1.1). Toward this and due to the strong anisotropic properties of the approximate solutions, we will have to work in the framework of anisotropic Littlewood-Paley theory here.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 465, Issue 1, 1 September 2018, Pages 459-499
Journal: Journal of Mathematical Analysis and Applications - Volume 465, Issue 1, 1 September 2018, Pages 459-499
نویسندگان
Yuhui Chen, Jingchi Huang,