کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
841303 | 908506 | 2010 | 7 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the existence of local strong solutions for the Navier–Stokes equations in completely general domains
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موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On the existence of local strong solutions for the Navier–Stokes equations in completely general domains On the existence of local strong solutions for the Navier–Stokes equations in completely general domains](/preview/png/841303.png)
چکیده انگلیسی
There are only very few results on the existence of unique local in time strong solutions of the Navier–Stokes equations for completely general domains Ω⊆R3Ω⊆R3, although domains with edges and corners, bounded or unbounded, are very important in applications. The reason is that the LqLq-theory for the Stokes operator AA is available in general only in the Hilbert space setting, i.e., with q=2q=2. Our main result for a general domain ΩΩ is optimal in a certain sense: Consider an initial value u0∈Lσ2(Ω) and a zero external force. Then the condition ∫0∞‖e−tAu0‖48dt<∞ is sufficient and necessary for the existence of a unique local strong solution u∈L8(0,T;L4(Ω))u∈L8(0,T;L4(Ω)) in some interval [0,T)[0,T), 0
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 6, 15 September 2010, Pages 1459–1465
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 73, Issue 6, 15 September 2010, Pages 1459–1465
نویسندگان
Reinhard Farwig, Hermann Sohr,