کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839538 1470476 2015 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Stability of two-dimensional heat-conducting incompressible motions in a cylinder
ترجمه فارسی عنوان
پایداری حرکات دوامدار حرارتی ناپایدار در یک سیلندر
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
چکیده انگلیسی

We consider the motion of an incompressible heat-conducting fluid described by the Rayleigh–Benard equations in a cylinder, where the external force depends on temperature. We assume the slip boundary conditions for the velocity and the Dirichlet condition for the temperature. First, we prove the existence of a strong global two-dimensional solution with nonvanishing in time external force. Next, we show the existence of a global three-dimensional solution to the problem assuming that its data are close to the data of the two-dimensional problem in appropriate norms. In this way we prove stability of strong two-dimensional solutions in the set of three-dimensional solutions.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 125, September 2015, Pages 113–127
نویسندگان
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