کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4623141 1339511 2007 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global solvability and asymptotic behavior for a nonlinear coupled system of viscoelastic waves with memory in a noncylindrical domain
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Global solvability and asymptotic behavior for a nonlinear coupled system of viscoelastic waves with memory in a noncylindrical domain
چکیده انگلیسی

In this paper we prove the exponential decay in the case n>2n>2, as time goes to infinity, of regular solutions for a nonlinear coupled system of wave equations with memory and weak dampingutt−Δu+∫0tg1(t−s)Δu(s)ds+αut+h(u−v)=0inQˆ,vtt−Δv+∫0tg2(t−s)Δv(s)ds+αvt−h(u−v)=0inQˆ, in a noncylindrical domains Qˆ of Rn+1(n⩾1)(n⩾1) under suitable hypotheses on the scalar functions h  , g1g1 and g2g2, and where α   is a positive constant. We show that such dissipation is strong enough to produce uniform rate decay. Besides, the coupled is nonlinear which brings up some additional difficulties, which make the problem interesting. We establish existence and uniqueness of regular solutions for any n⩾1n⩾1.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 325, Issue 2, 15 January 2007, Pages 1077–1094
نویسندگان
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