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

Document Type : Full Length Article

Authors

1 Department of Applied Mathematics Andhra University Visakhapatnam India-530003

2 Department of Applied Mathematics‎, ‎College of Science and Technology‎, ‎Andhra University‎, ‎Visakhapatnam‎‎, ‎India

10.30495/ijm2c.2021.684816

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