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math.AP2018
Multiscale Galerkin approximation scheme for a system of quasilinear parabolic equations
Ekeoma R. Ijioma, Stephen E. Moore
We discuss a multiscale Galerkin approximation scheme for a system of coupled quasilinear parabolic equations. These equations arise from the upscaling of a pore scale filtration c…
math.AP2018
On a pore-scale stationary diffusion equation: scaling effects and correctors for the homogenization limit
Vo Anh Khoa, Thieu Thi Kim Thoa, Ekeoma Rowland Ijioma
In this paper, we consider a microscopic semilinear elliptic equation posed in periodically perforated domains and associated with the Fourier-type condition on internal micro-surf…