Rights accessRestricted access - publisher's policy
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.
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder. If you wish to make any use of the work not provided for in the law, please contact: email@example.com