کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774626 | 1413563 | 2017 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Logarithmic stabilization of the Euler-Bernoulli transmission plate equation with locally distributed Kelvin-Voigt damping
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Logarithmic stabilization of the Euler-Bernoulli transmission plate equation with locally distributed Kelvin-Voigt damping Logarithmic stabilization of the Euler-Bernoulli transmission plate equation with locally distributed Kelvin-Voigt damping](/preview/png/5774626.png)
چکیده انگلیسی
In this work we consider a transmission problem for a plate equation where one small part of the domain is made of a viscoelastic material with Kelvin-Voigt constitutive relation. We apply the general results due to Burq's [10] in the study of asymptotic behavior of solutions and prove that the semigroup associated to the system is logarithmically stable. The main ingredient of the proof is the Carleman estimates. The method consist to use Carleman estimates to obtain information on the resolvent for high frequency.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 455, Issue 2, 15 November 2017, Pages 1765-1782
Journal: Journal of Mathematical Analysis and Applications - Volume 455, Issue 2, 15 November 2017, Pages 1765-1782
نویسندگان
Fathi Hassine,