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    Öğe
    BLOW UP OF SOLUTIONS FOR A PETROVSKY TYPE EQUATION WITH LOGARITHMIC NONLINEARITY
    (Korean Mathematical Soc, 2022) Ferreira, Jorge; Irkl, Nazl; Piskin, Erhan; Raposo, Carlos; Shahrouzi, Mohammad
    This paper aims to investigate the initial boundary value problem of the nonlinear viscoelastic Petrovsky type equation with nonlinear damping and logarithmic source term. We derive the blow-up results by the combination of the perturbation energy method, concavity method, and differential-integral inequality technique.
  • [ X ]
    Öğe
    On decay and blow-up for a system of viscoelastic wave equations with logarithmic nonlinearity
    (Tbilisi Centre Math Sci, 2022) Irkl, Nazl; Piskin, Erhan
    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.