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Inwon c Kim
Inwon c 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
1142003
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
732012
Quasi-static evolution and congested crowd transport
D Alexander, I Kim, Y Yao
Nonlinearity 27 (4), 823, 2014
622014
Porous medium equation to Hele-Shaw flow with general initial density
I Kim, N Pozar
transactions of AMS, 2015
592015
Congested aggregation via Newtonian interaction
K Craig, I Kim, Y Yao
Archive for Rational Mechanics and Analysis 227, 1-67, 2018
452018
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
372007
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
312010
A Hele-Shaw limit without monotonicity
N Guillen, I Kim, A Mellet
Archive for Rational Mechanics and Analysis 243 (2), 829-868, 2022
292022
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
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
272009
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
Volume preserving mean curvature flow for star-shaped sets
I Kim, D Kwon
Calculus of Variations and Partial Differential Equations 59 (2), 81, 2020
252020
Regularity of the free boundary for the one phase Hele–Shaw problem
IC Kim
Journal of Differential Equations 223 (1), 161-184, 2006
252006
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
Regularity of one-phase Stefan problem near Lipschitz initial data
S Choi, IC Kim
American journal of mathematics 132 (6), 1693-1727, 2010
242010
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
Singular limit of the porous medium equation with a drift
I Kim, N Požár, B Woodhouse
Advances in Mathematics 349, 682-732, 2019
232019
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
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