52 citations · 130 across the 13 of their papers we have counts for
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math.AP2011★ 39 cited
The Neumann problem in thin domains with very highly oscillatory boundaries
José M. Arrieta, Marcone C. Pereira
In this paper we analyze the behavior of solutions of the Neumann problem posed in a thin domain of the type $R^ε= \{(x_1,x_2) \in \R^2 \; | \; x_1 \in (0,1), \, - \, ε\, b(x_1) <…
math.AP2011★ 52 cited
Homogenization in a thin domain with an oscillatory boundary
José M. Arrieta, Marcone C. Pereira
In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a thin domain of the type $R^ε= \{(x,y) \in \R^2; x \in (0,1), 0 < y < εG(x, x/ε)\…