On the decay of solutions in nonsimple elastic solids with memory

Pata, Vittorino; Quintanilla de Latorre, Ramón

doi:10.1016/j.jmaa.2009.07.055

View/Open

Article principal (190,0Kb) (Restricted access) Request copy

View Usage Statistics

Cita com:

Show full item record

Pata, Vittorino

Quintanilla de Latorre, Ramón

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.

URIhttp://hdl.handle.net/2117/6678

DOI10.1016/j.jmaa.2009.07.055

ISSN0022-247X

Collections

View Usage Statistics

Show full item record

Files	Description	Size	Format	View
onthedecay.pdf	Article principal	190,0Kb	PDF	Restricted access

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

UPCommons. Global access to UPC knowledge

On the decay of solutions in nonsimple elastic solids with memory

View/Open

Browse