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.
M. Fabrizio, B. Lazzari, R. Nibbi (2012). On the asymptotic behavior of the quasi-static problem for a linear viscoelastic fluid. APPLIED MATHEMATICS LETTERS, 25(10), 1464-1469 [10.1016/j.aml.2011.12.025].
On the asymptotic behavior of the quasi-static problem for a linear viscoelastic fluid
FABRIZIO, MAURO;LAZZARI, BARBARA;NIBBI, ROBERTA
2012
Abstract
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.File in questo prodotto:
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