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Global attractors for von Karman evolutions with a nonlinear boundary dissipation
Authors
Arrietta
Babin
+36 more
Berger
Boutet de Monvel
Ceron
Chueshov
Chueshov
Chueshov
Chueshov
Ciarlet
Eden
Favini
Feireisl
Feireisl
Ghidaglia
Hale
Horn
Igor Chueshov
Irena Lasiecka
Isakov
Koch
Ladyzhenskaya
Lagnese
Lagnese
Lasiecka
Lasiecka
Lasiecka
Lasiecka
Lasiecka
Lasiecka
Lasiecka
Lions
Mallet-Paret
Pražak
Raugel
Runst
Temam
Triebel
Publication date
20 March 2004
Publisher
'Elsevier BV'
Doi
Cite
Abstract
Dynamic von Karman equations with a nonlinear boundary dissipation are considered. Questions related to long time behaviour, existence and structure of global attractors are studied. It is shown that a nonlinear boundary dissipation with a large damping parameter leads to an existence of global (compact) attractor for all weak (finite energy) solutions. This result has been known in the case of full interior dissipation, but it is new in the case when the boundary damping is the main dissipative mechanism in the system. In addition, we prove that fractal dimension of the attractor is finite. The proofs depend critically on the infinite speed of propagation associated with the von Karman model considered. © 2003 Elsevier Inc. All rights reserved
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