52 citations · 249 across the 15 of their papers we have counts for
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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) <…
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)\…
Approximating travelling waves by equilibria of non local equations
Jose M. Arrieta, Maria Lopez-Fernandez, Enrique Zuazua
We consider an evolution equation of parabolic type in R having a travelling wave solution. We perform an appropriate change of variables which transforms the equation into a non l…