Existence and regularity of global attractors for a Kirchhoff wave equation with strong damping and memory

This paper is concerned with the existence and regularity of global attractor A for a Kirchhoff wave equation with strong damping and memory in H and H1, respectively. In order to obtain the existence of A, we mainly use the energy method in the priori estimations, and then verify the asymptotic com...

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Bibliographic Details
Published inNonlinear analysis: real world applications Vol. 79; p. 104096
Main Authors Yang, Bin, Qin, Yuming, Miranville, Alain, Wang, Ke
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.10.2024
Subjects
Global attractor
Kirchhoff wave equation
Memory
Regularity
Strong damping
Strong damping
Kirchhoff wave equation
Regularity
Memory
Global attractor
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Summary:This paper is concerned with the existence and regularity of global attractor A for a Kirchhoff wave equation with strong damping and memory in H and H1, respectively. In order to obtain the existence of A, we mainly use the energy method in the priori estimations, and then verify the asymptotic compactness of the semigroup by the method of contraction function. Finally, by decomposing the weak solutions into two parts and some elaborate calculations, we prove the regularity of A.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2024.104096