59 citations · 152 across the 16 of their papers we have counts for
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math.AP2020★ 13 cited
Darcy's Law with a Source term
Matt Jacobs, Inwon Kim, Jiajun Tong
We introduce a novel variant of the JKO scheme to approximate Darcy's law with a pressure dependent source term. By introducing a new variable that implicitly controls the source t…
math.AP2020
The -contraction principle in optimal transport
Matt Jacobs, Inwon Kim, Jiajun Tong
In this work, we use the JKO scheme to approximate a general class of diffusion problems generated by Darcy's law. Although the scheme is now classical, if the energy density is sp…
math.AP2020★ 3 cited
Interface Dynamics in a Two-phase Tumor Growth Model
Inwon Kim, Jiajun Tong
We study a tumor growth model in two space dimensions, where proliferation of the tumor cells leads to expansion of the tumor domain and migration of surrounding normal tissues int…