کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4617120 | 1339369 | 2013 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solutions of the 3D Navier-Stokes equations for initial data in HÌ1/2: Robustness of regularity and numerical verification of regularity for bounded sets of initial data in HÌ1
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We consider the three-dimensional Navier-Stokes equations on a periodic domain. We give a simple proof of the local existence of solutions in HÌ1/2, and show that the existence of a regular solution on a bounded time interval [0,T] is stable with respect to perturbations of the initial data in HÌ1/2 and perturbations of the forcing function in L2(0,T;Hâ1/2). This forms the key ingredient in a proof that the assumption of regularity for all initial conditions in any given ball in HÌ1 can be verified computationally in a finite time, strengthening a previous result of Robinson and Sadowski [J.C. Robinson and W. Sadowski, Numerical verification of regularity in the three-dimensional Navier-Stokes equations for bounded sets of initial data, Asymptot. Anal. 59 (2008) 39-50].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 400, Issue 1, 1 April 2013, Pages 76-85
Journal: Journal of Mathematical Analysis and Applications - Volume 400, Issue 1, 1 April 2013, Pages 76-85
نویسندگان
Pedro MarÃn-Rubio, James C. Robinson, Witold Sadowski,