On decay and blow-up for a system of viscoelastic wave equations
with logarithmic nonlinearity
Nazli Irkil, Erhan Pişkin
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.
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