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VOL. 12, ISSUE 1 (2025)
Analysis of the existence and continuity of global attractors in Riemannian wave equations with localized damping
Authors
Ruben Dario Mendoza Arenas, Julio César Nuñez Villa, Teodoro Moore Flores, Marisol Paola Delgado Baltazar, Manuel Abelardo Alcántara Ramírez
Abstract
This study addresses the existence and
continuity of global attractors for wave equations on Riemannian manifolds,
considering the effect of localized damping. Wave equations with localized
dissipation represent a relevant model in physical problems, such as wave
propagation in media with partial dampers. The following questions are posed:
Do exponential global attractors exist for such systems? Is it possible to
ensure the continuity of these attractors in response to external perturbations
in the system? Using functional analysis techniques and semigroup theory, the
existence of global attractors is demonstrated, and their continuity is
analyzed.
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Pages:54-56
How to cite this article:
Ruben Dario Mendoza Arenas, Julio César Nuñez Villa, Teodoro Moore Flores, Marisol Paola Delgado Baltazar, Manuel Abelardo Alcántara Ramírez "Analysis of the existence and continuity of global attractors in Riemannian wave equations with localized damping". International Journal of Multidisciplinary Research and Development, Vol 12, Issue 1, 2025, Pages 54-56
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