In this paper, we study how solutions to elliptic problems with periodically oscillating coefficients behave in the neighborhood of the boundary of a domain. We extend the results known for flat boundaries to domains with curved boundaries in the case of a layered medium. This is done by generalizing the notion of boundary layer and by defining boundary correctors which lead to an approximation of order ε in the energy norm
Abstract The aim of this work is the construction of effective boundary conditions (wall laws) for e...
In this paper we are concerned with the elliptic PDEs with highly oscillating coefficients which mod...
The paper is devoted to the study of the boundary layer behaviour of solutions to partial differenti...
The behaviour of composite materials with periodically distributed constituents is considered. Mathe...
We study the asymptotic behavior of the solution to boundary-value problem for the second order elli...
AbstractWe study the asymptotic behavior of the solution to boundary-value problem for the second or...
In this article, we derive approximations and effective boundary laws for solutions u " of the ...
We study how oscillations in the boundary of a domain affect the behavior of solutions of elliptic e...
In this paper we study the homogenization of an elliptic boundary-value problem, with oscillating co...
In this paper we show that the solutions of a divergence form elliptic equation with piece-wise Hoel...
Problems involving materials with thin layers arise in various application fields. We present here t...
Problems involving materials with thin layers arise in various application fields. We present here t...
Abstract The aim of this work is the construction of effective boundary conditions (wall laws) for e...
In this paper we are concerned with the elliptic PDEs with highly oscillating coefficients which mod...
The paper is devoted to the study of the boundary layer behaviour of solutions to partial differenti...
The behaviour of composite materials with periodically distributed constituents is considered. Mathe...
We study the asymptotic behavior of the solution to boundary-value problem for the second order elli...
AbstractWe study the asymptotic behavior of the solution to boundary-value problem for the second or...
In this article, we derive approximations and effective boundary laws for solutions u " of the ...
We study how oscillations in the boundary of a domain affect the behavior of solutions of elliptic e...
In this paper we study the homogenization of an elliptic boundary-value problem, with oscillating co...
In this paper we show that the solutions of a divergence form elliptic equation with piece-wise Hoel...
Problems involving materials with thin layers arise in various application fields. We present here t...
Problems involving materials with thin layers arise in various application fields. We present here t...
Abstract The aim of this work is the construction of effective boundary conditions (wall laws) for e...
In this paper we are concerned with the elliptic PDEs with highly oscillating coefficients which mod...
The paper is devoted to the study of the boundary layer behaviour of solutions to partial differenti...