کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8898949 1631505 2018 27 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Quenching rate for a nonlocal problem arising in the micro-electro mechanical system
ترجمه فارسی عنوان
رطوبت برای یک مشکل غیر موضعی ناشی از سیستم مکانیکی میکرو الکترومغناطیسی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی
In this paper, we study the quenching rate of the solution for a nonlocal parabolic problem which arises in the study of the micro-electro mechanical system. This question is equivalent to the stabilization of the solution to the transformed problem in self-similar variables. First, some a priori estimates are provided. In order to construct a Lyapunov function, due to the lack of time monotonicity property, we then derive some very useful and challenging estimates by a delicate analysis. Finally, with this Lyapunov function, we prove that the quenching rate is self-similar which is the same as the problem without the nonlocal term, except the constant limit depends on the solution itself.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 264, Issue 5, 1 March 2018, Pages 3285-3311
نویسندگان
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