کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4617936 1339395 2012 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Energy decay for the modified Kawahara equation posed in a bounded domain
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Energy decay for the modified Kawahara equation posed in a bounded domain
چکیده انگلیسی

Studied here is the eventual dissipation of solutions to initial–boundary value problems for the modified Kawahara equation with and without a localized damping term included. It is shown that solutions of undamped problems posed on a bounded interval may not decay if the length of the interval is critical. In contrast, the energy associated to the locally damped problems is shown to be exponentially decreased independently of the interval length.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 385, Issue 2, 15 January 2012, Pages 743-756