Semilinear parabolic problems in thin domains with a highly oscillatory boundary
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
20/10/2012
20/10/2012
2011
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| Resumo |
In this paper, we study the behavior of the solutions of nonlinear parabolic problems posed in a domain that degenerates into a line segment (thin domain) which has an oscillating boundary. We combine methods from linear homogenization theory for reticulated structures and from the theory on nonlinear dynamics of dissipative systems to obtain the limit problem for the elliptic and parabolic problems and analyze the convergence properties of the solutions and attractors of the evolutionary equations. (C) 2011 Elsevier Ltd. All rights reserved. MICINN, Spain MICINN, Spain[MTM2009-07540] MICINN, Spain[PHB2006-003 PC] MICINN, Spain MICINN, Spain MICINN, Spain[PR2009-0027] MICINN, Spain MICINN, Spain[GR58/08] MICINN, Spain MICINN, Spain[GR35/10-A] MICINN, Spain[920894] MICINN, Spain Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq[305447/2005-0] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) CNPq[451761/2008-1] CNPq[305210/2008-4] Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) DGU Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) CAPES/DGU[267/2008] FAPESP, Brazil[2008/53094-4] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) FAPESP, Brazil[2010/18790-0] Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) |
| Identificador |
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.74, n.15, p.5111-5132, 2011 0362-546X http://producao.usp.br/handle/BDPI/28837 10.1016/j.na.2011.05.006 |
| Idioma(s) |
eng |
| Publicador |
PERGAMON-ELSEVIER SCIENCE LTD |
| Relação |
Nonlinear Analysis-theory Methods & Applications |
| Direitos |
restrictedAccess Copyright PERGAMON-ELSEVIER SCIENCE LTD |
| Palavras-Chave | #Thin domains #Dissipative parabolic equations #Global attractors #Upper semicontinuity #Lower semicontinuity #Homogenization #REACTION-DIFFUSION EQUATIONS #ATTRACTORS #DYNAMICS #HOMOGENIZATION #CONTINUITY #CONVERGENCE #Mathematics, Applied #Mathematics |
| Tipo |
article original article publishedVersion |
