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Doctoral Thesis
DOI
10.11606/T.55.2010.tde-06042010-142547
Document
Author
Full name
Flank David Morais Bezerra
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2010
Supervisor
Committee
Carvalho, Alexandre Nolasco de (President)
Araruna, Fágner Dias
Fu, Ma To
Lopes, Orlando Francisco
Rosa, Ricardo Martins da Silva
Title in Portuguese
Taxa de convergência de atratores de algumas equações de reação-difusão perturbadas.
Keywords in Portuguese
Atratores
Continuidade
Domínio Dumbbell
Equações de reação-difusão
Taxa
Abstract in Portuguese
Neste trabalho estudamos a dinâmica assintótica não linear de algumas equações parabólicas do tipo reação-difusão sob perturbações nos parâmetros e perturbações singulares no domínio do tipo dumbbell. Mais precisamente, trataremos dos atratores provenientes destes problemas, buscaremos compreender a dependência destes conjuntos assintóticos de estados em relação ao parâmetro, investigando a continuidade com taxa dos mesmos. O programa que executaremos para obtenção da taxa de continuidade dos atratores, bem como de toda a estrutura, mostra-nos fortes propriedades de dissipatividade exponencial de alguns semigrupos
Title in English
Rate of convergence of attractors de some reaction-difusion equations pertubadas
Keywords in English
Attractors
continuity
Dumbbell domains
Rate
Reaction-difusion equation
Abstract in English
In this work we study the asymptotic nonlinear dynamical of some reaction-diffusion parabolic equations under perturbations in parameter and singular perturbations in a dumbbell domain. More precisely, we treat of the attractors from these problems, we seek understand the dependence these asymptotic set of states in relationship the parameter, investigating continuity with rate. The program that we will follow to prove the continuity of the attractors with rate well as the entire structure, we show that these semigroups possess strong exponential dissipative properties
 
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TeseFlank.pdf (1.05 Mbytes)
Publishing Date
2010-04-06
 
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