On decay and blow-up for a system of viscoelastic wave equations with logarithmic nonlinearity

In this contribution, we focus on the interplay between viscoelastic Kirchhoff term and logarithmic source term. We deal with the finite time blow-up of solutions with subcritical initial energy for a system of viscoelastic Kirchhoff type wave equations with weak damping terms and logarithmic nonlinearities. Also, the polynomial decay result was obtained. These results fill in the gaps in previous studies on this type of models.