Fast and Slow Boundary Oscillations in a Thin Domain

Autor: Manuel Villanueva-Pesqueira, José M. Arrieta
Rok vydání: 2014
Předmět:
Zdroj: Advances in Differential Equations and Applications ISBN: 9783319069524
DOI: 10.1007/978-3-319-06953-1_2
Popis: In this work we analyze the behavior of the solutions of the Laplace operator with Neumann boundary conditions in a 2-dimensional thin domain with order of thickness e which presents a high oscillatory behavior at the top and a weak oscillatory behavior at the bottom boundary. We obtain the asymptotic homogenized problem as e → 0 and we are interested in understanding how the extremely different order of the oscillations affects to the limit.
Databáze: OpenAIRE