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The lack of polynomial stability to mixtures with frictional dissipation.

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Abstract We consider the system modeling a mixture of n materials with frictional damping. We show that the corresponding semigroup is exponentially stable if and only if the imaginary axis… Click to show full abstract

Abstract We consider the system modeling a mixture of n materials with frictional damping. We show that the corresponding semigroup is exponentially stable if and only if the imaginary axis is contained in the resolvent set of the infinitesimal generator. In particular this implies the lack of polynomial stability to the corresponding semigroup.

Keywords: lack polynomial; stability mixtures; polynomial stability; frictional dissipation; mixtures frictional

Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2017

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