Blow up and asymptotic behavior for a system of viscoelastic wave equations of Kirchhoff type with a delay term

Yıl 2018, , 146 - 167, 30.09.2018

Mahdi Fatima Zohra Ferhat Mohamed , Hakem Ali

https://doi.org/10.31197/atnaa.389865

Cited By: 1

Öz

The focus of the current paper is to investigate the initial boundary value problem for a system of viscoelastic wave equations of Kirchho type with a delay term in a bounded domain. At first,

the energy decay rate is proved by Nakao's technique and expressed polynomially and exponentially depending on the parameter m. However and in the unstable set, for certain initial data, the blow-upof solutions is obtained.

Anahtar Kelimeler

Global existence; Energy decay; Blow up of solutions; Nonlinear damping

Kaynakça

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