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Doctoral Thesis
DOI
10.11606/T.55.2007.tde-21012008-170515
Document
Author
Full name
Ricardo Parreira da Silva
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2007
Supervisor
Committee
Carvalho, Alexandre Nolasco de (President)
Carbinatto, Maria do Carmo
Lopes Filho, Milton da Costa
Nascimento, Arnaldo Simal do
Pereira, Antonio Luiz
Title in Portuguese
Semicontinuidade inferior de atratores para problemas parabólicos em domínios finos
Keywords in Portuguese
Atratores
comportamento assintótico
Domínios finos
Equações de reação-difusão
Semicontinuidade inferior
Abstract in Portuguese
Neste trabalho estudamos problemas de reação-difusão semilineares do tipo 'u IND..t(x, t) = 'DELTA'u(x, t)+ f (u(x, t)), x 'PERTENCE A' 'OMEGA' 'PARTIAL' U/'PARTIAL'V (x, t) = 0, x 'PERTENCE A' 'PARTIAL'' OMEGA'. Desenvolvemos uma teoria abstrata para a obtenção da continuidade da dinâmica assintótica de (P) sob perturbações singulares do domínio espacial W e aplicamos a uma série de exemplos dos assim chamados domínios finos
Title in English
Lower semicontinuity of attactors for parabolic problems in thin domains
Keywords in English
Asymptotic behaviour
Attractors
Lower semicontinuity
Reaction-diffusion equations
Thin domains
Abstract in English
In this work we study semilinear reaction-diffusion problems of the type 'u IND.t(x, t) = 'DELTA'u(x, t)+ f (u(x, t)), x ' PERTENCE A' 'OMEGA' 'PARTIAL'u/'ARTIAL' v (x, t) = 0, x "PERTENCE A' 'PARTIAL' ' OMEGA' We develop a abstract theory to obtain the continuity of the asymptotic dynamics of (P) under singular perturbations of the spatial domain W and we apply that to many examples in thin domains
 
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Publishing Date
2008-01-22
 
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