Global attractor for a degenerate Klein-Gordon-Schrödinger-type system

In this paper, we study the long-time behaviour of solutions of a degenerate Klein-Gordon-Schrödinger-type system which is defined in a bounded domain. First, we proved the existence, uniqueness and continuity of the solutions on the initial data, then the asymptotic compactness of the solutions and...

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Bibliographic Details
Published in:Dynamical systems (London, England) England), 2023-01, Vol.38 (1), p.121-139
Main Authors: Poulou, M. N., Zographopoulos, N. B.
Format: Article
Language:English
Subjects:
absorbing set
asymptotic compactness
continuity
global attractor
Klein-Gordon-Schrödinger system
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Summary:In this paper, we study the long-time behaviour of solutions of a degenerate Klein-Gordon-Schrödinger-type system which is defined in a bounded domain. First, we proved the existence, uniqueness and continuity of the solutions on the initial data, then the asymptotic compactness of the solutions and finally the existence of a global compact attractor.
ISSN:1468-9367
1468-9375
DOI:10.1080/14689367.2022.2145181