Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping
type: Item
instance of: scholarly article
title: Global attractors of the degenerate fractional Kirchhoff wave equation with structural damping or strong damping
zbMATH Open document ID: 1500.37045
author: Yanyan Li
published in: Advances in Nonlinear Analysis
publication date: 2022-03-21T00:00:00Z
review text: The authors study the degenerate fractional Kirchhoff wave equation with structural or strong damping. They prove the well-posedness and the existence of global attractors in the natural energy space by means of the Faedo-Galerkin method and provide energy estimates. The authors' results cover the possible degeneration (or even negativity) of the stiffness coefficient. Moreover, under suitable assumptions, the fractal dimension of the global attractor is shown to be infinite by using \(\mathbb{Z}_2\) index theory.
Mathematics Subject Classification ID: 37L30
Mathematics Subject Classification ID: 37L15
Mathematics Subject Classification ID: 37L65
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 35B41
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 26A33
zbMATH DE Number: 7493797
zbMATH Keywords: fractional Kirchhoff wave equation
zbMATH Keywords: degenerate
zbMATH Keywords: structural damping
zbMATH Keywords: strong damping
zbMATH Keywords: well-posedness
zbMATH Keywords: global attractor
zbMATH Keywords: fractal dimension
reviewed by: N. Vieira
MaRDI profile type: Publication
full work available at URL: anona-2022-0226
OpenAlex ID: W4226365469
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DOI: 10.1515/ANONA-2022-0226