Existence of an exponential attractor for a p−Kirchhoff model with infinite memory

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DOI:

https://doi.org/10.15381/pesquimat.v25i1.22462

Keywords:

p−Kirchhoff equation, infinite memory, global attractors, exponential attractors

Abstract

The main objective of this work is to study the long-term dynamics of a p−Kirchhoff model with infinite memory exposed to structural forces on a bounded domain Ω ⊂ ℝn. In particular, the existence of a global attractor with exponential attraction rate and finite fractal dimension is shown, that is, the existence of an exponential attractor is proved.

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Published

2022-06-30

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Artículos originales

How to Cite

Existence of an exponential attractor for a p−Kirchhoff model with infinite memory. (2022). Pesquimat, 25(1), 36-49. https://doi.org/10.15381/pesquimat.v25i1.22462