Journal
SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES
Volume 9, Issue 2, Pages 251-262Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s40863-015-0015-3
Keywords
Thin domains; p-Laplacian; Global attractors
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Funding
- FAPESP, Brazil [2012/06753-8, 2014/16165-1]
- CNPq, Brazil [440371/2014-7]
- Fundacao de Amparo a Pesquisa do Estado de Sao Paulo (FAPESP) [14/16165-1] Funding Source: FAPESP
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We consider the asymptotic behavior of quasilinear parabolic equations posed in a family of unbounded domains that degenerates onto a lower dimensional set. Considering an auxiliary family of weighted Sobolev spaces we show the existence of global attractors and we analyze convergence properties of the solutions as well of the attractors.
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