Global nonexistence of solutions for nonlinear coupled viscoelastic wave equations with damping and source terms

Boundary value problems

Shasha Niu¹  Jianghao Hao¹  Huihui Meng¹ 

[1] School of Mathematical Sciences, Shanxi University, Taiyuan, P.R. China

关键词: coupled viscoelastic wave equations;    relaxation functions;    damping terms;    source terms;    global nonexistence;   

DOI  :  10.1186/s13661-014-0250-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we are concerned with a nonlinear coupled viscoelastic wave equations with initial-boundary value conditions and nonlinear damping and source terms. Under suitable assumptions on relaxation functions, damping terms, and source terms, by using the energy method we proved a global nonexistence result for certain solutions with negative initial energy.

【 授权许可】

CC BY