Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2012.tde-16072012-145947
Document
Author
Full name
Henrique Barbosa da Costa
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2012
Supervisor
Committee
Carbinatto, Maria do Carmo (President)
Carvalho, Alexandre Nolasco de
Paiva, Francisco Odair Vieira de
Carvalho, Alexandre Nolasco de
Paiva, Francisco Odair Vieira de
Title in Portuguese
Atratores para equações de reação-difusão em domínios arbitrários
Keywords in Portuguese
Atratores globais
Equações de reação-difusão
Equações parabólicas
Estimativas de truncamento
Equações de reação-difusão
Equações parabólicas
Estimativas de truncamento
Abstract in Portuguese
Neste trabalho estudamos a dinâmica assintótica de uma classe de equações diferenciais de reação-difusão definidas em abertos de 'R POT. 3' arbitrários, limitados ou não, com condições de fronteira de Dirichlet. Utilizando a técnica de estimativas de truncamento, como nos artigos de Prizzi e Rybakowski, mostramos a existência de atratores globais
Title in English
Attractors for reaction-diffusion equations on arbitrary domains
Keywords in English
Global attractors
Parabolic equations
Reaction-diffusion equations
Tail estimates
Parabolic equations
Reaction-diffusion equations
Tail estimates
Abstract in English
In this work we study the asymptotic behavior of a class of semilinear reaction-diffusion equations defined on an arbitrary open set of R3, bounded or not, with Dirichlet boundary conditions. Using the tail-estimates technic based on papers of Prizzi and Rybakowski, we prove existence of global attractors
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Publishing Date
2012-07-16
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