کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
469373 698310 2010 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global existence and uniform decay for wave equation with dissipative term and boundary damping
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
Global existence and uniform decay for wave equation with dissipative term and boundary damping
چکیده انگلیسی

In this paper,we prove the existence, uniqueness and uniform stability of strong and weak solutions of the nonlinear wave equation utt−Δu+b(x)ut+f(u)=0 in bounded domains with nonlinear damped boundary conditions, given by ∂u∂ν+g(ut)=0, with restrictions on function f(u),g(ut)f(u),g(ut) and b(x)b(x),. We prove the existence by means of the Glerkin method and obtain the asymptotic behavior by using of the multiplier technique from the idea of Kmornik and Zuazua (see [7]).

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 59, Issue 2, January 2010, Pages 1003–1018
نویسندگان
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