کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4629401 1340580 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic behavior for an Ohmic heating model in thermal electricity
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Asymptotic behavior for an Ohmic heating model in thermal electricity
چکیده انگلیسی

In this paper, we consider the asymptotic behavior for a nonlocal parabolic problem with Dirichlet boundary condition, which is raised from the thermal-electricity and is so-called an Ohmic heating model. It models the system of the temperature of a conductor in the device, which is connected in series with another conductor with constant. The electrical resistivity of the one of the conductors depends on the temperature and the other one remains constant. An analysis of the nonlinear problem shows that the solution exists global and the unique stationary solution is globally asymptotically stable. The results assert that the temperature of the conductor remains bounded and the system converges asymptotically to the unique equilibrium.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 218, Issue 22, 15 July 2012, Pages 10906–10913
نویسندگان
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