This paper is devoted to study the asymptotic behavior, as vanishes, of a nonlinear monotone Signorini boundary value problem modelizing chemical activity in an periodic structure of thin cylindrical absorbers, like a comb in 2D a or a brush in 3D. The novelty of this paper is the presence of a perturbed coefficient, with, in the nonlinear Signorini boundary conditions (the case was previously studied by the same authors). It is shown that the limit problem is the same as what one would get by replacing the Signorini boundary conditions with the homogeneous Dirichlet boundary condition in the original problem.
Homogenization of a nonlinear monotone problem with a big nonlinear Signorini boundary interaction in a domain with highly rough boundary
Antonio Gaudiello;
2019
Abstract
This paper is devoted to study the asymptotic behavior, as vanishes, of a nonlinear monotone Signorini boundary value problem modelizing chemical activity in an periodic structure of thin cylindrical absorbers, like a comb in 2D a or a brush in 3D. The novelty of this paper is the presence of a perturbed coefficient, with, in the nonlinear Signorini boundary conditions (the case was previously studied by the same authors). It is shown that the limit problem is the same as what one would get by replacing the Signorini boundary conditions with the homogeneous Dirichlet boundary condition in the original problem.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
