Repositorio Institucional Publicación: Upper semicontinuity of global attractors for a viscoelastic equations with nonlinear density and memory effects
| dc.contributor.author | Santaria Leuyacc, Yony Raúl | |
| dc.contributor.author | Crisostomo Parejas, Jorge Luis | |
| dc.date.accessioned | 2019-01-08T23:02:24Z | |
| dc.date.available | 2019-01-08T23:02:24Z | |
| dc.date.issued | 2019-02 | |
| dc.description.abstract | This paper is devoted to showing the upper semicontinuity of global attractors associated with the family of nonlinear viscoelastic equations (Formula presented.) in a three-dimensional space, for f growing up to the critical exponent and dependent on ρ ∈ [0,4), as ρ→0+. This equation models extensional vibrations of thin rods with nonlinear material density ϱ(∂tu) = |∂tu|ρ and presence of memory effects. This type of problems has been extensively studied by several authors; the existence of a global attractor with optimal regularity for each ρ ∈ [0,4) were established only recently. The proof involves the optimal regularity of the attractors combined with Hausdorff's measure. | es_ES |
| dc.description.peer-review | Revisado por pares | es_ES |
| dc.format | application/pdf | es_ES |
| dc.identifier.citation | Santaria Leuyacc, Y. R., & Crisostomo Parejas, J. L. (2019). Upper semicontinuity of global attractors for a viscoelastic equations with nonlinear density and memory effects. Mathematical Methods in the Applied Sciences, 42(3), 871-882. | es_ES |
| dc.identifier.doi | 10.1002/mma.5389 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.journal | Mathematical Methods in the Applied Sciences | es_ES |
| dc.identifier.uri | https://hdl.handle.net/20.500.14005/8438 | |
| dc.identifier.uri | http://onlinelibrary.wiley.com/doi/abs/10.1002/mma.5389 | |
| dc.identifier.uri | http://dx.doi.org/10.1002/mma.5389 | |
| dc.language.iso | spa | es_ES |
| dc.publisher | John Wiley and Sons Ltd | es_ES |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/embargoedAccess | |
| dc.source | Universidad San Ignacio de Loyola | es_ES |
| dc.source | Repositorio Institucional - USIL | es_ES |
| dc.subject | Dynamical systems | en |
| dc.subject | Nonlinear equations | en |
| dc.subject | Data storage equipment | en |
| dc.title | Upper semicontinuity of global attractors for a viscoelastic equations with nonlinear density and memory effects | es_ES |
| dc.type | info:eu-repo/semantics/article | es_ES |
| dspace.entity.type | Publication |