Homogenization in a thin domain with an oscillatory boundary

Citations of this article
Mendeley users who have this article in their library.


In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type Rε={(x1,x2)εR{double-struck}2|x1ε(0,1),0<x2<εG(x1,x1/ε)} 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. © 2011 Elsevier Masson SAS.




Arrieta, J. M., & Pereira, M. C. (2011). Homogenization in a thin domain with an oscillatory boundary. Journal Des Mathematiques Pures et Appliquees, 96(1), 29–57. https://doi.org/10.1016/j.matpur.2011.02.003

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free