کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6417080 1338528 2015 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global existence and minimal decay regularity for the Timoshenko system: The case of non-equal wave speeds
ترجمه فارسی عنوان
وجود جهانی و منظم بودن انقباض برای سیستم تیموشنکو: موردی از سرعتهای غیر برابر است
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

As a continued work of [18], we are concerned with the Timoshenko system in the case of non-equal wave speeds, which admits the dissipative structure of regularity-loss. Firstly, with the modification of a priori estimates in [18], we construct global solutions to the Timoshenko system pertaining to data in the Besov space with the regularity s=3/2. Owing to the weaker dissipative mechanism, extra higher regularity than that for the global-in-time existence is usually imposed to obtain the optimal decay rates of classical solutions, so it is almost impossible to obtain the optimal decay rates in the critical space. To overcome the outstanding difficulty, we develop a new frequency-localization time-decay inequality, which captures the information related to the integrability at the high-frequency part. Furthermore, by the energy approach in terms of high-frequency and low-frequency decomposition, we show the optimal decay rate for Timoshenko system in critical Besov spaces, which improves previous works greatly.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 259, Issue 11, 5 December 2015, Pages 5533-5553
نویسندگان
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