Arrieta Algarra, José María and Pereira, Marcone C. (2011) Homogenization in a thin domain with an oscillatory boundary. Journal de Mathématiques Pures et Appliquées, 96 (1). pp. 29-57. ISSN 0021-7824
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Abstract
In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type where the function G(x,y) is periodic in y of period L. Observe that the upper boundary of the thin domain presents a highly oscillatory behavior and, moreover, the height of the thin domain, the amplitude and period of the oscillations are all of the same order, given by the small parameter ϵ.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Thin domain; Oscillating boundary; Homogenization; Extension operator |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 13402 |
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| Deposited On: | 14 Oct 2011 09:24 |
| Last Modified: | 14 Nov 2011 10:40 |
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