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Rate of convergence of attractors de some reaction-difusion equations pertubadas

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Author(s):
Flank David Morais Bezerra
Total Authors: 1
Document type: Doctoral Thesis
Press: São Carlos.
Institution: Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC/SB)
Defense date:
Examining board members:
Alexandre Nolasco de Carvalho; Fágner Dias Araruna; Ma To Fu; Orlando Francisco Lopes; Ricardo Martins da Silva Rosa
Advisor: Alexandre Nolasco de Carvalho
Abstract

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 (AU)