A non-compressible viscoelastic fluid with memory is considered and the well posedness of the associated dynamical problem is studied. The exponential decay of the energy is obtained under suitable hypotheses on the memory kernel. Furthermore, a domain of dependence inequality is established, thereby showing the hyperbolic nature of the problem.
"Energy decay and propagation in a viscoelastic fluid with memory." Differential Integral Equations 23 (3/4) 359 - 371, March/April 2010.