کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
842460 908533 2009 24 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source
چکیده انگلیسی

In this paper we investigate the global existence and finite time blow-up of solutions to the system of nonlinear viscoelastic wave equations utt−Δu+∫0tg1(t−τ)Δu(τ)dτ+|ut|m−1ut=f1(u,v),vtt−Δv+∫0tg2(t−τ)Δv(τ)dτ+|vt|r−1vt=f2(u,v) in Ω×(0,T)Ω×(0,T) with initial and Dirichlet boundary conditions, where ΩΩ is a bounded domain in Rn,n=1,2,3Rn,n=1,2,3. Under suitable assumptions on the functions gi(⋅)gi(⋅), fi(⋅,⋅)(i=1,2), the initial data and the parameters in the equations, we establish several results concerning local existence, global existence, uniqueness and finite time blow-up property.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 71, Issue 11, 1 December 2009, Pages 5427–5450
نویسندگان
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