Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity

Author(s):

Mahammad Khuddush * , Kapula Rajendra Prasad , Bharathi Botta

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

In this paper, we consider a system of viscoelastic wave equations of Kirchhoff type with delay and logarithmic nonlinearity. We obtain the local existence of solution by using the Faed-Galerkin approximation and under suitable conditions, we prove the blow up of solutions in finite time.

Keywords:

Wave Equation , Local existence , blow up , logarithmic nonlinearity , Delay

Language:
English
Published:
International Journal of Mathematical Modelling & Computations, Volume:11 Issue: 3, Summer 2021
Page:
4
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