Continuity of the dynamics in a localized large diffusion problem with nonlinear boundary conditions
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
20/10/2012
20/10/2012
2009
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Resumo |
This paper is concerned with singular perturbations in parabolic problems subjected to nonlinear Neumann boundary conditions. We consider the case for which the diffusion coefficient blows up in a subregion Omega(0) which is interior to the physical domain Omega subset of R(n). We prove, under natural assumptions, that the associated attractors behave continuously as the diffusion coefficient blows up locally uniformly in Omega(0) and converges uniformly to a continuous and positive function in Omega(1) = (Omega) over bar\Omega(0). (C) 2009 Elsevier Inc. All rights reserved. |
Identificador |
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.356, n.1, p.69-85, 2009 0022-247X http://producao.usp.br/handle/BDPI/28841 10.1016/j.jmaa.2009.02.037 |
Idioma(s) |
eng |
Publicador |
ACADEMIC PRESS INC ELSEVIER SCIENCE |
Relação |
Journal of Mathematical Analysis and Applications |
Direitos |
restrictedAccess Copyright ACADEMIC PRESS INC ELSEVIER SCIENCE |
Palavras-Chave | #Parabolic equations #Attractors #Compact convergence #Hyperbolic equilibrium #Nonlinear boundary conditions #PARABOLIC PROBLEMS #ATTRACTORS #EQUATIONS #Mathematics, Applied #Mathematics |
Tipo |
article original article publishedVersion |