Add to ORKGWe study the asymptotic behavior of the solution of the Laplace equation in a domain, a part of whose boundary is highly oscillating. The motivation comes from the study of a longitudinal flow in an infinite horizontal domain bounded at the bottom by a wall and at the top by a rugose wall. The latter is a plane covered with periodic asperities whose size depends on a small parameter, ε > 0. The assumption of sharp asperities is made; that is, the height of the asperities is fixed. Using a boundary layer corrector, we derive and analyze a nonoscillating approximation of the solution at order O(ε^(3⁄2)) for the H^1-norm
In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a ...
International audienceWe consider a Laplace problem with Dirichlet boundary condition in a three dim...
In this paper, we study how solutions to elliptic problems with periodically oscillating coefficie...
We study the asymptotic behavior of the solution of the Laplace equation in a domain, a part of who...
We consider a viscous incompressible flow in an infinite horizontal domain bounded at the bottom by ...
We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in ...
We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in ...
AbstractWe study the asymptotic behavior of the solution to boundary-value problem for the second or...
We study the asymptotic behavior of the solution to boundary-value problem for the second order elli...
ABSTRACT: We combine methods from linear homogenization theory to get error estimates for the first ...
Abstract. We consider a 2-dimensional thin domain with order of thickness which presents oscillatio...
We consider quasilinear and linear parabolic problems with rapidly oscillating coefficients in a dom...
As a main result of the paper, we construct and justify an asymptotic approximation of Green’s funct...
AbstractWe study the asymptotic behavior of solutions to the incompressible Navier–Stokes system con...
In this article, we derive approximations and effective boundary laws for solutions u " of the ...
In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a ...
International audienceWe consider a Laplace problem with Dirichlet boundary condition in a three dim...
In this paper, we study how solutions to elliptic problems with periodically oscillating coefficie...
We study the asymptotic behavior of the solution of the Laplace equation in a domain, a part of who...
We consider a viscous incompressible flow in an infinite horizontal domain bounded at the bottom by ...
We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in ...
We study the asymptotic behavior of the eigenelements of the Dirichlet problem for the Laplacian in ...
AbstractWe study the asymptotic behavior of the solution to boundary-value problem for the second or...
We study the asymptotic behavior of the solution to boundary-value problem for the second order elli...
ABSTRACT: We combine methods from linear homogenization theory to get error estimates for the first ...
Abstract. We consider a 2-dimensional thin domain with order of thickness which presents oscillatio...
We consider quasilinear and linear parabolic problems with rapidly oscillating coefficients in a dom...
As a main result of the paper, we construct and justify an asymptotic approximation of Green’s funct...
AbstractWe study the asymptotic behavior of solutions to the incompressible Navier–Stokes system con...
In this article, we derive approximations and effective boundary laws for solutions u " of the ...
In this paper we analyze the behavior of the Laplace operator with Neumann boundary conditions in a ...
International audienceWe consider a Laplace problem with Dirichlet boundary condition in a three dim...
In this paper, we study how solutions to elliptic problems with periodically oscillating coefficie...