56 citations · 249 across the 40 of their papers we have counts for
42 papers
The sharp interface limit of an Ising game
William M Feldman, Inwon C Kim, Aaron Zeff Palmer
The Ising model of statistical physics has served as a keystone example of phase transitions, thermodynamic limits, scaling laws, and many other phenomena and mathematical methods.…
Tumor growth with nutrients: stability of the tumor patches
Inwon Kim, Jona Lelmi
In this paper, we study a tumor growth model with nutrients. The contact inhibition for the tumor cells, presented in the model, results in the evolution of a congested tumor patch…
Regularity of Hele-Shaw Flow with source and drift
Inwon Kim, Yuming Paul Zhang
In this paper we study the regularity property of Hele-Shaw flow, where source and drift are present in the evolution. More specifically we consider Hölder continuous source and Li…
Incompressible limit of porous medium equation with bistable and monostable reaction terms
Inwon Kim, Antoine Mellet
We study the incompressible limit of the porous medium equation with a reaction term that is non-monotone with respect to the pressure variable. More specifically we consider react…
Density-constrained Chemotaxis and Hele-Shaw flow
Inwon Kim, Antoine Mellet, Yijing Wu
We consider a model of congestion dynamics with chemotaxis, where the density of cells follows the chemical signal it generates, while observing an incompressibility constraint. We…
A density-constrained model for Chemotaxis
Inwon Kim, Antoine Mellet, Yijing Wu
We consider a model of congestion dynamics with chemotaxis: The density of cells follows a chemical signal it generates, while subject to an incompressibility constraint. The incom…