27/09/2023
14:00
online / à distância
Palestrante: Mirelson Martins Freitas
https://sites.google.com/usp.br/evol-eq-and-dyn-systems
Responsável: Estefani Moraes Moreira (estefani@usp.br)
Resumo: We investigate the global attractors and synchronization phenomenon of a coupled Lamé system defined on a smooth bounded domain Ω ⊂ R3 with nonlinear forces of critical growth. Firstly, we prove the existence, finiteness of fractal dimension, and smoothness of global attractors. Considering κ as the coupling coefficient, we prove the upper semicontinuity of the attractors as κ → ∞. Finally, we study the asymptotic synchronization for the coupled Lamé system.
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