On the decay of solutions in nonsimple elastic solids with memory
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Document typeArticle
Defense date2010-02
PublisherElsevier
Rights accessRestricted access - publisher's policy
Abstract
The decay of solutions in nonsimple elasticity with memory is addressed, analyzing how
the decay rate is influenced by the different dissipation mechanisms appearing in the
equations. In particular, a first order dissipation is shown to guarantee the asymptotic
stability of the related solution semigroup, but is not strong enough to entail exponential
stability. The latter occurs for a dissipation mechanism of the second order, that is, the
same order as the one of the leading operator.
CitationPata, V.; Quintanilla, R. On the decay of solutions in nonsimple elastic solids with memory. "Journal of mathematical analysis and applications", Febrer 2010, vol. 363, núm. 1, p. 19-28.
ISSN0022-247X
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