In this paper we study the stability of a system from the theory of viscoelastic materials with fading memory. In contrast to previous papers on this subject, the equation takes into account a further nonlinear term that can be read, from a physical point of view, as a kind of attracting force. The a priori estimates, based on the energy method, are the main tool used in order to prove the global existence and asymptotic behaviour results
Stability of a problem from viscoelasticity
Sampalmieri Rosella
2002-01-01
Abstract
In this paper we study the stability of a system from the theory of viscoelastic materials with fading memory. In contrast to previous papers on this subject, the equation takes into account a further nonlinear term that can be read, from a physical point of view, as a kind of attracting force. The a priori estimates, based on the energy method, are the main tool used in order to prove the global existence and asymptotic behaviour resultsFile in questo prodotto:
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