Title of article :
Local Existence and Blow Up of Solutions for a System of Viscoelastic Wave Equations of Kirchhoff Type with Delay and Logarithmic Nonlinearity
Author/Authors :
Rajendra Prasada, K. Department of Applied Mathematics - College of Science and Technology - Andhra University - Visakhapatnam, India , Khuddush, Mahammad Department of Applied Mathematics - College of Science and Technology - Andhra University - Visakhapatnam, India , Bharathi, B. Department of Applied Mathematics - College of Science and Technology - Andhra University - Visakhapatnam, India
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
Journal title :
International Journal of Mathematical Modelling and Computations
