Rate of convergence of attractors for abstract semilinear problems

• Ano de defesa: 2016
• Autor(a) principal: Pires, Leonardo
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Instituição de defesa: Biblioteca Digitais de Teses e Dissertações da USP
• Palavras-chave em Português: Atratores; Attractors; Equações parabólicas; Nonlinear dynamical systems; Parabolic equations; Perturbações singulares; Rate of convergence; Singular pertubations; Sistemas dinâmicos não lineares; Taxa de convergência
• Link de acesso: http://www.teses.usp.br/teses/disponiveis/55/55135/tde-27102016-090449/

In this work we study rate of convergence of attractors for parabolic equations. We consider various types of problems where the diffusion coefficient has varied profiles: large diffusion, localized large diffusion and large diffusion except in the neighborhood of a point where it becomes small. In all cases we obtain a singular perturbation where a rate of convergence of attractors is obtained.