Keywords
Dominio fino frontera oscilante homogeneización, thin domains homogenization
Fast and slow boundary oscillations in a thin domain
Abstract
En este trabajo se analiza el comportamiento de las soluciones de el operador de Laplace con condiciones de frontera Neumann en un dominio fino 2-dimensional que presenta oscilaciones periódicas con diferente frecuencia en la frontera superior e inferior.
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 ε 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 ε → 0 and we are interested in understanding how the extremely different order of the oscillations affects to the limit.
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 ε 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 ε → 0 and we are interested in understanding how the extremely different order of the oscillations affects to the limit.
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