کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4613881 1339274 2016 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability of two-dimensional solutions to the Navier–Stokes equations in cylindrical domains under Navier boundary conditions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Stability of two-dimensional solutions to the Navier–Stokes equations in cylindrical domains under Navier boundary conditions
چکیده انگلیسی

The Navier–Stokes motions in a cylindrical domain with Navier boundary conditions are considered. First the existence of global regular two-dimensional solutions is proved. The solutions are such that norms bounded with respect to time are controlled by the same constant for all t∈R+t∈R+. Assuming that the initial velocity and the external force are sufficiently close to the initial velocity and the external force of a two-dimensional solution, we prove existence of global three-dimensional solutions which remain close to the two-dimensional solution for all time. In this sense we have stability of two-dimensional solutions. Thanks to the Navier boundary conditions the nonlinear term in the two-dimensional Navier–Stokes equations does not influence the energy estimate. This implies that the global two-dimensional solution is proved without any structural restrictions on the external force, initial data or viscosity.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 444, Issue 1, 1 December 2016, Pages 275–297
نویسندگان
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