Decay rates of solutions to a von Kármán system for viscoelastic plates with memory

@inproceedings{Rivera1999DecayRO,
  title={Decay rates of solutions to a von K{\'a}rm{\'a}n system for viscoelastic plates with memory},
  author={James E. Mu{\~n}oz Rivera and G. Perla Menzala},
  year={1999}
}
We consider the dynamical von Karman equations for viscoelastic plates under the presence of a long-range memory. We find uniform rates of decay (in time) of the energy, provided that suitable assumptions on the relaxation functions are given. Namely, if the relaxation decays exponentially, then the first-order energy also decays exponentially. When the relaxation g satisfies cig1+p(t) < g\t) <-c0g(t)1+r, 0 < g"(t) < c2g1+i (t), and g,g1+p g i'(K) with p> 2, then the energy decays as n~+t)F… CONTINUE READING