56 citations · 249 across the 40 of their papers we have counts for
4 papers · 1 filter
On mean curvature flow with forcing
Inwon Kim, Dohyun Kwon
This paper investigates geometric properties and well-posedness of a mean curvature flow with volume-dependent forcing. With the class of forcing which bounds the volume of the evo…
Porous medium equation to Hele-Shaw flow with general initial density
Inwon Kim, Norbert Pozar
In this paper we study the "stiff pressure limit" of the porous medium equation, where the initial density is a bounded, integrable function with a sufficient decay at infinity. Ou…
Free boundary problems for Tumor Growth: a Viscosity solutions approach
Inwon C. Kim, Benoit Perthame, Panagiotis E. Souganidis
The mathematical modeling of tumor growth leads to singular stiff pressure law limits for porous medium equations with a source term. Such asymptotic problems give rise to free bou…
Continuity and Discontinuity of the Boundary Layer Tail
William M. Feldman, Inwon C. Kim
We investigate the continuity properties of the homogenized boundary data for oscillating Dirichlet boundary data problems. We show that, for a generic non-rotation-…