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.
2012
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].
M. Fabrizio; B. Lazzari; R. Nibbi
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/109985
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