Blow-up for a viscoelastic von Karman equation with strong damping and variable exponent source terms

Abstract

Abstract In this article, we deal with a strongly damped von Karman equation with variable exponent source and memory effects. We investigate blow-up results of solutions with three levels of initial energy such as non-positive initial energy, certain positive initial energy, and high initial energy. Furthermore, we estimate not only the upper bound but also the lower bound of the blow-up time.

Keywords

• Blow-up
• von Karman equation
• Variable exponent
• High initial energy
• Bounds of blow-up time