Blow-Up of Solutions for a System Viscoelastic Equation with Balakrishnan–Taylor Damping and Nonlinear Source of Polynomial Type

被引：0

作者：

Alaeddine D. ^{[1
,2
]}

机构：

[1] Ecole Normale Supérieure, Mostaganem

[2] Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, Tebessa

来源：

International Journal of Applied and Computational Mathematics | 2020年 / 6卷 / 4期

关键词：

Balakrishnan–Taylor damping; Blow up; Coupled viscoelastic wave equations; Relaxation functions;

D O I：

10.1007/s40819-020-00858-7

中图分类号：

学科分类号：

摘要：

In this paper, we study the initial-boundary value problem for a system of nonlinear viscoelastic equations with Balakrishnan–Taylor damping terms and nonlinear source of polynomial type. We demonstrate that the nonlinear source of polynomial type is able to force solutions to blow up infinite time even in presence of stronger damping with non positive initial energy combined with a positive initial energy. © 2020, Springer Nature India Private Limited.

引用