کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6419143 | 1339372 | 2012 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On decay and blow-up of solutions for a system of nonlinear wave equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: On decay and blow-up of solutions for a system of nonlinear wave equations On decay and blow-up of solutions for a system of nonlinear wave equations](/preview/png/6419143.png)
چکیده انگلیسی
The initial boundary value problem for a system of viscoelastic wave equations of Kirchhoff type with the nonlinear damping and the source terms in a bounded domain is considered. We prove that, under suitable conditions on the nonlinearity of the damping and the source terms and certain initial data in the stable set and for a wider class of relaxation functions, the decay estimates of the energy function is exponential or polynomial depending on the exponents of the damping terms in both equations by using Nakao's method. Conversely, for certain initial data in the unstable set, we obtain the blow-up of solutions in finite time when the initial energy is nonnegative. This improves earlier results in the literature.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 394, Issue 1, 1 October 2012, Pages 360-377
Journal: Journal of Mathematical Analysis and Applications - Volume 394, Issue 1, 1 October 2012, Pages 360-377
نویسندگان
Shun-Tang Wu,