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math.AP2013
Parabolic problems in highly oscillating thin domains
Marcone C. Pereira
In this work we consider the asymptotic behavior of the nonlinear semigroup defined by a semilinear parabolic problem with homogeneous Neumann boundary conditions posed in a bounde…
math.AP2013
Correctors for the Neumann problem in thin domains with locally periodic oscillatory structure
Marcone C. Pereira, Ricardo P. Silva
In this paper we are concerned with convergence of solutions of the Poisson equation with Neumann boundary conditions in a two-dimensional thin domain exhibiting highly oscillatory…