Exponential energy decay of solutions for a system of viscoelastic wave   equations of Kirchhoff type with strong damping
  The initial boundary value problem for a system of viscoelastic wave equations of Kirchhoff type with strong damping is considered. We prove that, under suitable assumptions on relaxation functions and certain initial data, the decay rate of the solutions energy is exponential. 
Gang Li, Linghui Hong and Wenjun Liu
math.AP math.FA