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Upper semicontinuity of global attractors for a viscoelastic equations with nonlinear density and memory effects
- Source :
- Universidad San Ignacio de Loyola, Repositorio Institucional-USIL, USIL-Institucional, instacron:USIL
- Publication Year :
- 2019
- Publisher :
- John Wiley and Sons Ltd, 2019.
-
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. Revisado por pares
- Subjects :
- Thesaurus (information retrieval)
Dynamical systems theory
General Mathematics
010102 general mathematics
General Engineering
Nonlinear equations
01 natural sciences
Viscoelasticity
010101 applied mathematics
Nonlinear system
Data storage equipment
Attractor
Dynamical systems
Applied mathematics
0101 mathematics
Mathematics
Subjects
Details
- Language :
- Spanish; Castilian
- Database :
- OpenAIRE
- Journal :
- Universidad San Ignacio de Loyola, Repositorio Institucional-USIL, USIL-Institucional, instacron:USIL
- Accession number :
- edsair.doi.dedup.....b537296563b550765cd467742a37f328