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Inwon Kim
Inwon Kim
Professor of Mathematics, UCLA
Verified email at math.ucla.edu
Title
Cited by
Cited by
Year
Uniqueness and existence results on the Hele-Shaw and the Stefan problems
IC Kim
Archive for rational mechanics and analysis 168 (4), 299-328, 2003
1112003
The Patlak–Keller–Segel model and its variations: properties of solutions via maximum principle
I Kim, Y Yao
SIAM Journal on Mathematical Analysis 44 (2), 568-602, 2012
672012
Quasi-static evolution and congested crowd transport
D Alexander, I Kim, Y Yao
Nonlinearity 27 (4), 823, 2014
592014
Porous medium equation to Hele-Shaw flow with general initial density
I Kim, N Pozar
transactions of AMS, 2015
552015
Congested aggregation via Newtonian interaction
K Craig, I Kim, Y Yao
Archive for Rational Mechanics and Analysis 227, 1-67, 2018
382018
Regularity for the one-phase Hele-Shaw problem from a Lipschitz initial surface
S Choi, D Jerison, I Kim
American journal of mathematics 129 (2), 527-582, 2007
362007
Global existence and uniqueness of solutions to a model of price formation
L Chayes, M del Mar González, MP Gualdani, I Kim
SIAM Journal on Mathematical Analysis 41 (5), 2107-2135, 2009
352009
Viscosity Solutions for the two-phase Stefan Problem
I Kim, N Pozar
Communications in Partial Differential Equations 36 (1), 42-66, 2010
302010
An aggregation equation with degenerate diffusion: Qualitative property of solutions
L Chayes, I Kim, Y Yao
SIAM Journal on Mathematical Analysis 45 (5), 2995-3018, 2013
272013
A variational approach to a quasi-static droplet model
N Grunewald, I Kim
Calculus of Variations and Partial Differential Equations 41, 1-19, 2011
26*2011
Degenerate diffusion with a drift potential: a viscosity solutions approach
IC Kim, HK Lei
DSDC-A, 2010
262010
Homogenization of a Hele–Shaw problem in periodic and random media
IC Kim, A Mellet
Archive for rational mechanics and analysis 194 (2), 507-530, 2009
252009
A Hele-Shaw limit without monotonicity
N Guillen, I Kim, A Mellet
Archive for Rational Mechanics and Analysis 243 (2), 829-868, 2022
242022
Homogenization for nonlinear PDEs in general domains with oscillatory Neumann boundary data
S Choi, IC Kim
Journal de Mathématiques Pures et Appliquées 102 (2), 419-448, 2014
242014
Nonlocal front propagation problems in bounded domains with Neumann‐type boundary conditions and applications
F Da Lio, C Inwon Kim, D Slepčev
Asymptotic Analysis 37 (3-4), 257-292, 2004
242004
Regularity of the free boundary for the one phase Hele–Shaw problem
IC Kim
Journal of Differential Equations 223 (1), 161-184, 2006
232006
Weak solutions to the Muskat problem with surface tension via optimal transport
M Jacobs, I Kim, AR Mészáros
Archive for Rational Mechanics and Analysis 239, 389-430, 2021
222021
Regularity of one-phase Stefan problem near Lipschitz initial data
S Choi, IC Kim
American journal of mathematics 132 (6), 1693-1727, 2010
222010
On nonlinear cross-diffusion systems: an optimal transport approach
I Kim, AR Mészáros
Calculus of Variations and Partial Differential Equations 57 (3), 79, 2018
212018
Volume preserving mean curvature flow for star-shaped sets
I Kim, D Kwon
Calculus of Variations and Partial Differential Equations 59 (2), 81, 2020
192020
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