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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.
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