4 citations · 6 across the 6 of their papers we have counts for
6 papers
Derivation and analysis of a nonlocal Hele-Shaw-Cahn-Hilliard system for flow in thin heterogeneous layers
Giuseppe Cardone, Willi Jäger, Jean Louis Woukeng
We derive, through the deterministic homogenization theory in thin domains, a new model consisting of Hele-Shaw equation with memory coupled with the convective Cahn-Hilliard equat…
Derivation of Stokes-Plate-Equations modeling fluid flow interaction with thin porous elastic layers
Markus Gahn, Maria Neuss-Radu, Willi Jäger
In this paper we investigate the interaction of fluid flow with a thin porous elastic layer. We consider two fluid-filled bulk domains which are separated by a thin periodically pe…
Two-scale tools for homogenization and dimension reduction of perforated thin layers: Extensions, Korn-inequalities, and two-scale compactness of scale-dependent sets in Sobolev spaces
Markus Gahn, Willi Jäger, Maria Neuss-Radu
This investigation develops basic methods for the multi-scale analysis for problems in thin porous layers. More precisely, we provide tools for the homogenization in case of "tange…
Deterministic homogenization of elliptic equations with lower order terms
Renata Bunoiu, Giuseppe Cardone, Willi Jäger +1
For a class of linear elliptic equations of general type with rapidly oscillating coefficients, we use the sigma-convergence method to prove the homogenization result and a correct…
Approximation of homogenized coefficients in deterministic homogenization and convergence rates in the asymptotic almost periodic setting
Willi Jäger, Antoine Tambue, Jean Louis Woukeng
For a homogenization problem associated to a linear elliptic operator, we prove the existence of a distributional corrector and we find an approximation scheme for the homogenized…
The reduced wave equation in layered materials
Willi Jager, Yoshimi Saito
Let H = -(1/m(x))L be the reduced wave operator defined on the N-dimensional Euclidean space, where \f L is the Laplacian. Here m(x) is a positive step function with possible count…