کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
8256210 | 1533946 | 2018 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On 3D Navier-Stokes equations: Regularization and uniqueness by delays
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On 3D Navier-Stokes equations: Regularization and uniqueness by delays On 3D Navier-Stokes equations: Regularization and uniqueness by delays](/preview/png/8256210.png)
چکیده انگلیسی
A modified version of the three dimensional Navier-Stokes equations is considered with periodic boundary conditions. A bounded constant delay is introduced into the convective term, that produces a regularizing effect on the solution. In fact, by assuming appropriate regularity on the initial data, the solutions of the delayed equations are proved to be regular and, as a consequence, existence and also uniqueness of a global weak solution are obtained. Moreover, the associated flow is constructed and the continuity of the semigroup is proved. Finally, we investigate the passage to the limit on the delay, obtaining that the limit is a weak solution of the Navier-Stokes equations.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volumes 376â377, 1 August 2018, Pages 228-237
Journal: Physica D: Nonlinear Phenomena - Volumes 376â377, 1 August 2018, Pages 228-237
نویسندگان
Hakima Bessaih, MarÃa J. Garrido-Atienza, Björn SchmalfuÃ,