56 citations · 56 across the 2 of their papers we have counts for
2 papers
math.AP2014
A drift approximation for parabolic PDEs with oblique boundary data
Damon Alexander, Inwon Kim
We consider solutions of a quasi-linear parabolic PDE with zero oblique boundary data in a bounded domain. Our main result states that the solutions can be approximated by solution…
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…