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We study the homogenization of an obstacle problem in a perforated domain, when the holes are periodically distributed and have random shape and size. The main assumption concerns the capacity of the ...
Homogenization of a Hele-Shaw problem in periodic and random media
Free boundary problem Hele-Shaw equation Obstacle problem Viscosity solution Homogenization
2015/10/15
We investigate the homogenization limit of a free boundary problem with space-dependent free boundaryvelocities. The problem under consideration has a well-known obstacle problem transformation, forma...
A FAST ALGORITHM FOR REITERATED HOMOGENIZATION
Reiterated homogenization upscaling effective coefficients homogenization map fast algorithms adaptive sampling
2015/7/14
This paper considers the numerical evaluation of effective coefficients for multiscale homogenization problems and proposes a highly efficient algorithm for a certain class of reiterated homogenizatio...
We consider an elliptic eigenvalue problem with a fast cellular flow of amplitude A, in a twodimensional domain with L2 cells. For fixed A, and L → ∞, the problem homogenizes, and has been well studie...
Homogenization driven by a fractional Brownian motion:the shear layer case
Homogenization driven fractional Brownian motion shear layer case
2015/7/14
We consider a passive scalar in a periodic shear flow perturbed by an additive fractional noise with the Hurst exponent H ∈ (0, 1). We establish a diffusive homogenization limit for the tracer when th...
Long time averaged reflection force and homogenization of oscillating Neumann boundary conditions
Long time averaged reflection force homogenization of oscillating Neumann boundary conditions
2011/1/21
This paper concerns with two issues. The first issue is the existence and the uniqueness of the ergodic type number d which appears in the oblique boundary condition. The second issue is the applicati...
Two-scale homogenization of a Robin problem in perforated media
Homogenization Two scale convergence
2010/9/15
The two scale convergence of the solution to a Robin’s type-like problem of a stationary diffusion problem in a periodically perforated domain is investigated. It is shown that the Robin’s problem con...
Homogenization of Differential Operators
homogenization weak limit weak continuity of nonlinear
2007/12/11
In this note, we present a method of constructing the homogenized operator for a general sequence of differential operators. As an example, we construct the homogenized operator for a sequence of line...