Palestras e Seminários

18/09/2024

14:00

online / à distância

Palestrante: German Jesus Lozada Cruz

https://sites.google.com/usp.br/evol-eq-and-dyn-systems

Responsável: Estefani Moraes Moreira (estefani@usp.br)

Modo: À distância

Salvar atividade no Google Calendar Webinar on Evolution Equations and Dynamical Systems

Resumo: In this talk we discuss the continuity of global attractors for a class of semilinear parabolic problems with Dirichlet boundary conditions in domains with a small hole whose size is proportional to a small positive parameter ε.
The talk will be based on a joint work with Elaine Tavares-Lima (IBICE/UNESP).

References

[1] Arrieta, J. M.; Carvalho, A. N. Spectral convergence and nonlinear dynamics of reaction-diffusion equations under perturbations of the domain, J. Differential Equa-

tions, 199 (2004), 143–178.

[2] Borisov, D. I.; Mukhametrakhimova, A. I. The norm resolvent convergence for elliptic operators in multi-dimensional domains with small holes, J. Math. Sci.(N.Y.)              232 (2018), 283–298.

[3] Tavares-Lima, E. A.; Lozada-Cruz, G. J., Dynamics of parabolic equations in domains with a small hole I. Continuity of the set of equilibria. Submitted por  publication, 2024.

[4] Tavares-Lima, E. A.; Lozada-Cruz, G. J., Dynamics of parabolic equations in domains with a small hole II. Continuity of the attractors. Journal of Differential  Equations 395 (2024) 308–332.

 
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