On the asymptotic behavior of the quasi-static problem for a linear viscoelastic fluid

Physics – Mathematical Physics

Scientific paper

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6 pages

Scientific paper

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.

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