کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4591378 | 1335026 | 2010 | 12 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Ill-posedness of the 3D-Navier–Stokes equations in a generalized Besov space near BMO−1
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Ill-posedness of the 3D-Navier–Stokes equations in a generalized Besov space near BMO−1 Ill-posedness of the 3D-Navier–Stokes equations in a generalized Besov space near BMO−1](/preview/png/4591378.png)
چکیده انگلیسی
The ill-posedness of the 3D-Navier–Stokes equations in a generalized Besov space which is smaller than (q>2) is considered. In 2008, Bourgain–Pavlović proved that the 3D-Navier–Stokes equation is ill-posed in by showing norm inflation phenomena of the solution for some initial data. On the other hand, in 2008, Germain proved that the flow map is not C2 in the space for q>2. However he did not treat ill-posed problem in such spaces. Thus our result is an extension of these previous results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Functional Analysis - Volume 258, Issue 10, 15 May 2010, Pages 3376-3387
Journal: Journal of Functional Analysis - Volume 258, Issue 10, 15 May 2010, Pages 3376-3387