56 citations · 249 across the 40 of their papers we have counts for
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math.AP2013★ 56 cited
Quasi-static evolution and congested crowd transport
Damon Alexander, Inwon Kim, Yao Yao
We consider the relationship between Hele-Shaw evolution with drift, the porous medium equation with superharmonic drift, and a congested crowd motion model originally proposed by…
math.AP2013
Quasistatic Droplet percolation
Nestor Guillen, Inwon Kim
We consider the Hele-Shaw problem in a randomly perforated domain with zero Neumann boundary conditions. A homogenization limit is obtained as the characteristic scale of the domai…
math.AP2013★ 2 cited
Homogenization for nonlinear PDEs in general domains with oscillatory Neumann boundary data
Sunhi Choi, Inwon Kim
In this article we investigate averaging properties of fully nonlinear PDEs in bounded domains with oscillatory Neumann boundary data. The oscillation is periodic and is present bo…