We study the flow generated by an incompressible viscoelastic fluid in afractured porous medium. The model consists of a fluid flow governed byStokes-Volterra equations evolving in a periodic double-porosity medium. Usingthe multiscale convergence method associated to some recent tools about theconvergence of convolution sequences, we show that the equivalent macroscopicmodel is of the same type as the microscopic one, but in a fixed domain.
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