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http://acervodigital.unesp.br/handle/11449/25134- Title:
- Semilinear parabolic problems in thin domains with a highly oscillatory boundary
- Universidade de São Paulo (USP)
- Univ Complutense Madrid
- Universidade Estadual Paulista (UNESP)
- 0362-546X
- MICINN, Spain
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
- Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
- MICINN, Spain: MTM2009-07540
- MICINN, Spain: PHB2006-003 PC
- MICINN, Spain: PR2009-0027
- MICINN, Spain: GR58/08
- MICINN, Spain: GR35/10-A
- MICINN, Spain: 920894
- CNPq: 305447/2005-0
- CNPq: 451761/2008-1
- CNPq: 305210/2008-4
- CAPES: 267/2008
- FAPESP: 08/53094-4
- FAPESP: 10/18790-0
- 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.
- 1-Oct-2011
- Nonlinear Analysis-theory Methods & Applications. Oxford: Pergamon-Elsevier B.V. Ltd, v. 74, n. 15, p. 5111-5132, 2011.
- 5111-5132
- Pergamon-Elsevier B.V. Ltd
- Thin domains
- Dissipative parabolic equations
- Global attractors
- Upper semicontinuity
- Lower semicontinuity
- Homogenization
- http://dx.doi.org/10.1016/j.na.2011.05.006
- Acesso restrito
- outro
- http://repositorio.unesp.br/handle/11449/25134
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