Displaying similar documents to “Homogenization of a monotone problem in a domain with oscillating boundary”

Towards parametrizing word equations

H. Abdulrab, P. Goralčík, G. S. Makanin (2010)

RAIRO - Theoretical Informatics and Applications

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Classically, in order to resolve an equation ≈ over a free monoid *, we reduce it by a suitable family ℱ of substitutions to a family of equations ≈ , f ∈ ℱ , each involving less variables than ≈ , and then combine solutions of ≈ into solutions of ≈ . The problem is to get ℱ in a handy form. The method we propose consists in parametrizing the path traces in the so called associated to ≈ . We carry out such a parametrization in the case the prime equations in the graph involve at...

Homogenization of highly oscillating boundaries and reduction of dimension for a monotone problem

Dominique Blanchard, Antonio Gaudiello (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We investigate the asymptotic behaviour, as ε → 0, of a class of monotone nonlinear Neumann problems, with growth -1 ( ∈]1, +∞[), on a bounded multidomain Ω ε ⊂ ℝ N ( ≥ 2). The multidomain Ω is composed of two domains. The first one is a plate which becomes asymptotically flat, with thickness h in the direction, as ε → 0. The second one is a “forest" of cylinders distributed with -periodicity in the first - 1 directions on the upper side of the plate. Each...