On the asymptotic behavior of the quasi-static problem for a linear   viscoelastic fluid
  In this paper we study the quasi-static problem for a viscoelastic fluid by means of the concept of minimal state. This implies the use of a different free energy defined in a wider space of data. The existence and uniqueness is proved in this new space and the asymptotic decay for the problem with non vanishing supplies is obtained for a large class of memory kernels, including those presenting an exponential or polynomial decay. 
Mauro Fabrizio, Barbara Lazzari and Roberta Nibbi
math-ph math.MP