کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5773973 | 1413538 | 2017 | 19 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Global strong solution for 3D viscous incompressible heat conducting Navier-Stokes flows with non-negative density
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Global strong solution for 3D viscous incompressible heat conducting Navier-Stokes flows with non-negative density Global strong solution for 3D viscous incompressible heat conducting Navier-Stokes flows with non-negative density](/preview/png/5773973.png)
چکیده انگلیسی
We are concerned with an initial boundary value problem for the nonhomogeneous heat conducting Navier-Stokes flows with non-negative density. First of all, we show that for the initial density allowing vacuum, the strong solution exists globally if the velocity satisfies the Serrin's condition. Then, under some smallness condition, we prove that there is a unique global strong solution to the 3D viscous nonhomogeneous heat conducting Navier-Stokes flows. Our method relies upon the delicate energy estimates and regularity properties of Stokes system and elliptic equation.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 263, Issue 8, 15 October 2017, Pages 4978-4996
Journal: Journal of Differential Equations - Volume 263, Issue 8, 15 October 2017, Pages 4978-4996
نویسندگان
Xin Zhong,