کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6418849 1339362 2013 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Exact controllability for a one-dimensional wave equation in non-cylindrical domains
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Exact controllability for a one-dimensional wave equation in non-cylindrical domains
چکیده انگلیسی

This paper is addressed to a study of the controllability for a one-dimensional wave equation in domains with moving boundary. This equation characterizes the motion of a string with a fixed endpoint and the other moving one. When the speed of the moving endpoint is less than the characteristic speed, by the Hilbert Uniqueness Method, the exact controllability of this equation is established. Also, an explicit dependence of the controllability time on the speed of the moving endpoint is given. Moreover, when the speed of the moving endpoint is equal to the characteristic speed, by a constructive method, we characterize a target set for the exact controllability with smooth controllers.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 402, Issue 2, 15 June 2013, Pages 612-625
نویسندگان
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