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Kim, Inwon Christina

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Author ID: kim.inwon-christina Recent zbMATH articles by "Kim, Inwon Christina"
Published as: Kim, Inwon; Kim, Inwon C.; Kim, Inwon Christina
Documents Indexed: 60 Publications since 1991
Co-Authors: 27 Co-Authors with 47 Joint Publications
696 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

49 Publications have been cited 409 times in 221 Documents Cited by Year
Uniqueness and existence results on the Hele-Shaw and the Stefan problems. Zbl 1044.76019
Kim, Inwon C.
47
2003
The Patlak-Keller-Segel model and its variations: properties of solutions via maximum principle. Zbl 1261.35080
Kim, Inwon; Yao, Yao
36
2012
Quasi-static evolution and congested crowd transport. Zbl 1293.35035
Alexander, Damon; Kim, Inwon; Yao, Yao
18
2014
Porous medium equation to Hele-Shaw flow with general initial density. Zbl 1392.92039
Kim, Inwon; Požár, Norbert
17
2018
Congested aggregation via Newtonian interaction. Zbl 1384.35136
Craig, Katy; Kim, Inwon; Yao, Yao
16
2018
Global existence and uniqueness of solutions to a model of price formation. Zbl 1228.35007
Chayes, Lincoln; Del Mar González, María; Gualdani, Maria Pia; Kim, Inwon
14
2009
Global existence and finite time blow-up for critical Patlak-Keller-Segel models with inhomogeneous diffusion. Zbl 1294.35172
Bedrossian, Jacob; Kim, Inwon C.
13
2013
Regularity for the one-phase Hele-Shaw problem from a Lipschitz initial surface. Zbl 1189.35384
Choi, Sunhi; Jerison, David; Kim, Inwon
13
2007
An aggregation equation with degenerate diffusion: qualitative property of solutions. Zbl 1288.35312
Chayes, Lincoln; Kim, Inwon; Yao, Yao
13
2013
A variational approach to a quasi-static droplet model. Zbl 1228.35087
Grunewald, Natalie; Kim, Inwon
11
2011
Homogenization of a Hele-Shaw problem in periodic and random media. Zbl 1251.76015
Kim, Inwon C.; Mellet, Antoine
10
2009
Viscosity solutions for the two-phase Stefan problem. Zbl 1216.35181
Kim, Inwon C.; Požár, Norbert
10
2011
Homogenization for nonlinear PDEs in general domains with oscillatory Neumann boundary data. Zbl 1329.35046
Choi, Sunhi; Kim, Inwon C.
10
2014
Regularity of the free boundary for the one phase Hele–Shaw problem. Zbl 1087.76024
Kim, Inwon C.
10
2006
A free boundary problem arising in flame propagation. Zbl 1040.35149
Kim, Inwon C.
9
2003
Homogenization of Neumann boundary data with fully nonlinear operator. Zbl 1276.35023
Choi, Sunhi; Kim, Inwon C.; Lee, Ki-Ahm
9
2013
Homogenization of the free boundary velocity. Zbl 1162.35011
Kim, Inwon C.
9
2007
Homogenization of a model problem on contact angle dynamics. Zbl 1161.35312
Kim, Inwon C.
8
2008
Regularity properties of degenerate diffusion equations with drifts. Zbl 1395.35100
Kim, Inwon; Zhang, Yuming Paul
7
2018
Regularity of one-phase Stefan problem near Lipschitz initial data. Zbl 1231.35318
Choi, Sunhi; Kim, Inwon C.
7
2010
Viscosity solutions for a model of contact line motion. Zbl 1166.35386
Glasner, Karl; Kim, Inwon C.
7
2009
Liquid drops sliding down an inclined plane. Zbl 1317.35299
Kim, Inwon; Mellet, Antoine
7
2014
Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360
Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E.
7
2016
Degenerate diffusion with a drift potential: a viscosity solutions approach. Zbl 1213.35178
Kim, Inwon C.; Lei, Helen K.
6
2010
Homogenization of one-phase Stefan-type problems in periodic and random media. Zbl 1197.35290
Kim, Inwon C.; Mellet, Antoine
6
2010
Dynamic stability of equilibrium capillary drops. Zbl 1293.35240
Feldman, William M.; Kim, Inwon C.
6
2014
Nonlinear elliptic-parabolic problems. Zbl 1286.35174
Kim, Inwon C.; Požár, Norbert
6
2013
Continuity and discontinuity of the boundary layer tail. (Continuité et discontinuité de la queue de la couche limite.) Zbl 1381.35039
Feldman, William M.; Kim, Inwon C.
6
2017
On nonlinear cross-diffusion systems: an optimal transport approach. Zbl 1393.35118
Kim, Inwon; Mészáros, Alpár Richárd
5
2018
Singular limit of the porous medium equation with a drift. Zbl 1447.35333
Kim, Inwon; Požár, Norbert; Woodhouse, Brent
5
2019
Liquid drops on a rough surface. Zbl 1418.76027
Feldman, William M.; Kim, Inwon C.
5
2018
Local regularization of the one-phase Hele-Shaw flow. Zbl 1190.35229
Choi, Sunhi; Jerison, David; Kim, Inwon
5
2009
The one-phase Hele-Shaw problem with singularities. Zbl 1155.35496
Jerison, David; Kim, Inwon
5
2005
Uniform convergence for the incompressible limit of a tumor growth model. Zbl 1390.35374
Kim, Inwon; Turanova, Olga
4
2018
A free boundary problem with curvature. Zbl 1069.35094
Kim, Inwon C.
4
2005
Long time regularity of solutions of the Hele–Shaw problem. Zbl 1099.35098
Kim, Inwon
4
2006
Volume preserving mean curvature flow for star-shaped sets. Zbl 1445.35205
Kim, Inwon; Kwon, Dohyun
4
2020
On mean curvature flow with forcing. Zbl 1439.35242
Kim, Inwon; Kwon, Dohyun
4
2020
Quantitative homogenization of elliptic partial differential equations with random oscillatory boundary data. Zbl 1418.35025
Feldman, William M.; Kim, Inwon C.; Souganidis, Panagiotis E.
3
2015
Diffusion and geometric effects in passive advection by random arrays of vortices. Zbl 0825.76794
Avellaneda, M.; Torquato, S.; Kim, I. C.
3
1991
A two-sided contracting Stefan problem. Zbl 1154.35477
Chayes, Lincoln; Kim, Inwon C.
3
2008
The two-phase Stefan problem: regularization near Lipschitz initial data by phase dynamics. Zbl 1267.35259
Choi, Sunhi; Kim, Inwon
3
2012
Error estimates on homogenization of free boundary velocities in periodic media. Zbl 1177.35260
Kim, Inwon C.
3
2009
Weak solutions to the Muskat problem with surface tension via optimal transport. Zbl 1460.65114
Jacobs, Matt; Kim, Inwon; Mészáros, Alpár R.
3
2021
Singular limits of chemotaxis-growth model. Zbl 1001.35052
Kim, Inwon Christina
2
2001
The supercooled Stefan problem in one dimension. Zbl 1282.35376
Chayes, Lincoln; Kim, Inwon C.
2
2012
Waiting time phenomena of the Hele-Shaw and the Stefan problem. Zbl 1387.35629
Choi, Sunhi; Kim, Inwon
2
2006
A Fokker-Planck type approximation of parabolic PDEs with oblique boundary data. Zbl 1372.35158
Alexander, Damon; Kim, Inwon
1
2016
Porous medium equation with a drift: free boundary regularity. Zbl 1481.35101
Kim, Inwon; Zhang, Yuming Paul
1
2021
Weak solutions to the Muskat problem with surface tension via optimal transport. Zbl 1460.65114
Jacobs, Matt; Kim, Inwon; Mészáros, Alpár R.
3
2021
Porous medium equation with a drift: free boundary regularity. Zbl 1481.35101
Kim, Inwon; Zhang, Yuming Paul
1
2021
Volume preserving mean curvature flow for star-shaped sets. Zbl 1445.35205
Kim, Inwon; Kwon, Dohyun
4
2020
On mean curvature flow with forcing. Zbl 1439.35242
Kim, Inwon; Kwon, Dohyun
4
2020
Singular limit of the porous medium equation with a drift. Zbl 1447.35333
Kim, Inwon; Požár, Norbert; Woodhouse, Brent
5
2019
Porous medium equation to Hele-Shaw flow with general initial density. Zbl 1392.92039
Kim, Inwon; Požár, Norbert
17
2018
Congested aggregation via Newtonian interaction. Zbl 1384.35136
Craig, Katy; Kim, Inwon; Yao, Yao
16
2018
Regularity properties of degenerate diffusion equations with drifts. Zbl 1395.35100
Kim, Inwon; Zhang, Yuming Paul
7
2018
On nonlinear cross-diffusion systems: an optimal transport approach. Zbl 1393.35118
Kim, Inwon; Mészáros, Alpár Richárd
5
2018
Liquid drops on a rough surface. Zbl 1418.76027
Feldman, William M.; Kim, Inwon C.
5
2018
Uniform convergence for the incompressible limit of a tumor growth model. Zbl 1390.35374
Kim, Inwon; Turanova, Olga
4
2018
Continuity and discontinuity of the boundary layer tail. (Continuité et discontinuité de la queue de la couche limite.) Zbl 1381.35039
Feldman, William M.; Kim, Inwon C.
6
2017
Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360
Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E.
7
2016
A Fokker-Planck type approximation of parabolic PDEs with oblique boundary data. Zbl 1372.35158
Alexander, Damon; Kim, Inwon
1
2016
Quantitative homogenization of elliptic partial differential equations with random oscillatory boundary data. Zbl 1418.35025
Feldman, William M.; Kim, Inwon C.; Souganidis, Panagiotis E.
3
2015
Quasi-static evolution and congested crowd transport. Zbl 1293.35035
Alexander, Damon; Kim, Inwon; Yao, Yao
18
2014
Homogenization for nonlinear PDEs in general domains with oscillatory Neumann boundary data. Zbl 1329.35046
Choi, Sunhi; Kim, Inwon C.
10
2014
Liquid drops sliding down an inclined plane. Zbl 1317.35299
Kim, Inwon; Mellet, Antoine
7
2014
Dynamic stability of equilibrium capillary drops. Zbl 1293.35240
Feldman, William M.; Kim, Inwon C.
6
2014
Global existence and finite time blow-up for critical Patlak-Keller-Segel models with inhomogeneous diffusion. Zbl 1294.35172
Bedrossian, Jacob; Kim, Inwon C.
13
2013
An aggregation equation with degenerate diffusion: qualitative property of solutions. Zbl 1288.35312
Chayes, Lincoln; Kim, Inwon; Yao, Yao
13
2013
Homogenization of Neumann boundary data with fully nonlinear operator. Zbl 1276.35023
Choi, Sunhi; Kim, Inwon C.; Lee, Ki-Ahm
9
2013
Nonlinear elliptic-parabolic problems. Zbl 1286.35174
Kim, Inwon C.; Požár, Norbert
6
2013
The Patlak-Keller-Segel model and its variations: properties of solutions via maximum principle. Zbl 1261.35080
Kim, Inwon; Yao, Yao
36
2012
The two-phase Stefan problem: regularization near Lipschitz initial data by phase dynamics. Zbl 1267.35259
Choi, Sunhi; Kim, Inwon
3
2012
The supercooled Stefan problem in one dimension. Zbl 1282.35376
Chayes, Lincoln; Kim, Inwon C.
2
2012
A variational approach to a quasi-static droplet model. Zbl 1228.35087
Grunewald, Natalie; Kim, Inwon
11
2011
Viscosity solutions for the two-phase Stefan problem. Zbl 1216.35181
Kim, Inwon C.; Požár, Norbert
10
2011
Regularity of one-phase Stefan problem near Lipschitz initial data. Zbl 1231.35318
Choi, Sunhi; Kim, Inwon C.
7
2010
Degenerate diffusion with a drift potential: a viscosity solutions approach. Zbl 1213.35178
Kim, Inwon C.; Lei, Helen K.
6
2010
Homogenization of one-phase Stefan-type problems in periodic and random media. Zbl 1197.35290
Kim, Inwon C.; Mellet, Antoine
6
2010
Global existence and uniqueness of solutions to a model of price formation. Zbl 1228.35007
Chayes, Lincoln; Del Mar González, María; Gualdani, Maria Pia; Kim, Inwon
14
2009
Homogenization of a Hele-Shaw problem in periodic and random media. Zbl 1251.76015
Kim, Inwon C.; Mellet, Antoine
10
2009
Viscosity solutions for a model of contact line motion. Zbl 1166.35386
Glasner, Karl; Kim, Inwon C.
7
2009
Local regularization of the one-phase Hele-Shaw flow. Zbl 1190.35229
Choi, Sunhi; Jerison, David; Kim, Inwon
5
2009
Error estimates on homogenization of free boundary velocities in periodic media. Zbl 1177.35260
Kim, Inwon C.
3
2009
Homogenization of a model problem on contact angle dynamics. Zbl 1161.35312
Kim, Inwon C.
8
2008
A two-sided contracting Stefan problem. Zbl 1154.35477
Chayes, Lincoln; Kim, Inwon C.
3
2008
Regularity for the one-phase Hele-Shaw problem from a Lipschitz initial surface. Zbl 1189.35384
Choi, Sunhi; Jerison, David; Kim, Inwon
13
2007
Homogenization of the free boundary velocity. Zbl 1162.35011
Kim, Inwon C.
9
2007
Regularity of the free boundary for the one phase Hele–Shaw problem. Zbl 1087.76024
Kim, Inwon C.
10
2006
Long time regularity of solutions of the Hele–Shaw problem. Zbl 1099.35098
Kim, Inwon
4
2006
Waiting time phenomena of the Hele-Shaw and the Stefan problem. Zbl 1387.35629
Choi, Sunhi; Kim, Inwon
2
2006
The one-phase Hele-Shaw problem with singularities. Zbl 1155.35496
Jerison, David; Kim, Inwon
5
2005
A free boundary problem with curvature. Zbl 1069.35094
Kim, Inwon C.
4
2005
Uniqueness and existence results on the Hele-Shaw and the Stefan problems. Zbl 1044.76019
Kim, Inwon C.
47
2003
A free boundary problem arising in flame propagation. Zbl 1040.35149
Kim, Inwon C.
9
2003
Singular limits of chemotaxis-growth model. Zbl 1001.35052
Kim, Inwon Christina
2
2001
Diffusion and geometric effects in passive advection by random arrays of vortices. Zbl 0825.76794
Avellaneda, M.; Torquato, S.; Kim, I. C.
3
1991
all top 5

Cited by 296 Authors

35 Kim, Inwon Christina
15 Carrillo de la Plata, José Antonio
9 Feldman, William M.
9 Liu, Jianguo
9 Perthame, Benoît
7 Požár, Norbert
6 Mellet, Antoine
6 Yao, Yao
6 Zhang, Yuming Paul
5 Guillen, Nestor
5 Hadzic, Mahir
4 Bedrossian, Jacob
4 Craig, Katy
4 González, María del Mar
4 Gualdani, Maria Pia
4 Markowich, Peter Alexander
4 Shkoller, Steve
3 Burger, Martin
3 Caffarelli, Luis Ángel
3 Calvez, Vincent
3 Gao, Yuan
3 Jacobs, Matthew
3 Kwon, Dohyun
3 Pietschmann, Jan-Frederik
3 Schmidtchen, Markus
3 Schwab, Russell W.
3 Vauchelet, Nicolas
3 Wolfram, Marie-Therese
3 Zhuge, Jinping
2 Alasio, Luca
2 Alazard, Thomas
2 Bian, Shen
2 Bruna, Maria
2 Choi, Sunhi
2 Degond, Pierre
2 Fagioli, Simone
2 Fetecau, Razvan C.
2 Forcillo, Nicolò
2 Gallouët, Thomas O.
2 Gancedo, Francisco
2 Georgievskiĭ, Dmitriĭ Vladimirovich
2 Gómez-Serrano, Javier
2 Guidotti, Patrick Q.
2 He, Siming
2 Hecht, Sophie
2 Hoffmann, Franca
2 Hong, Liang
2 Ji, Shanming
2 Kovacic, Mitchell
2 Kuusi, Tuomo
2 Laborde, Maxime
2 Laux, Tim
2 Lorenzi, Tommaso
2 Mainini, Edoardo
2 Mészáros, Alpár Richárd
2 Meunier, Nicolas
2 Monsaingeon, Léonard
2 Morini, Massimiliano
2 Quirós Gracián, Fernando
2 Rodriguez, Nancy Y.
2 Ryzhik, Lenya
2 Salsa, Sandro
2 Santambrogio, Filippo
2 Shahgholian, Henrik
2 Souganidis, Panagiotis E.
2 Sugiyama, Yoshie
2 Tang, Min
2 Tong, Jiajun
2 Topaloglu, Ihsan
2 Vazquez, Juan Luis
2 Volzone, Bruno
2 Wakui, Hiroshi
2 Wang, Jinhuan
2 Wang, Li
2 Wang, Zhian
2 Xie, Xuming
2 Xu, Tianyuan
2 Yin, Jingxue
2 Zhou, Zhennan
1 Aleksanyan, Hayk
1 Ambrose, David M.
1 An, Jing
1 Armstrong, Scott N.
1 Baroni, Paolo
1 Bella, Peter
1 Beneš, Michal
1 Berendsen, Judith
1 Bernoff, Andrew J.
1 Bertozzi, Andrea Louise
1 Birindelli, Isabeau
1 Bizhanova, Galina I.
1 Blanchet, Adrien
1 Blank, Ivan A.
1 Bourdin, Félicien
1 Bubba, Federica
1 Cardaliaguet, Pierre
1 Carrillo Antonio, José
1 Castro, Ángel
1 Chambolle, Antonin
1 Chang-Lara, Héctor A.
...and 196 more Authors
all top 5

Cited in 80 Serials

26 Archive for Rational Mechanics and Analysis
14 Calculus of Variations and Partial Differential Equations
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 SIAM Journal on Mathematical Analysis
10 Communications in Partial Differential Equations
7 Journal of Differential Equations
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
5 Communications in Mathematical Physics
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Discrete and Continuous Dynamical Systems
4 Transactions of the American Mathematical Society
4 Interfaces and Free Boundaries
4 Discrete and Continuous Dynamical Systems. Series B
3 Applicable Analysis
3 Journal of Computational Physics
3 Journal of Mathematical Biology
3 Advances in Mathematics
3 Acta Applicandae Mathematicae
3 The Journal of Geometric Analysis
3 SIAM Journal on Applied Mathematics
3 Journal of Mathematical Sciences (New York)
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Journal of the European Mathematical Society (JEMS)
3 Kinetic and Related Models
2 Communications on Pure and Applied Mathematics
2 Nonlinearity
2 Applied Mathematics and Optimization
2 Manuscripta Mathematica
2 Physica D
2 European Journal of Applied Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 SIAM Journal on Applied Dynamical Systems
2 Multiscale Modeling & Simulation
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Complex Variables and Elliptic Equations
2 Networks and Heterogeneous Media
1 Inverse Problems
1 Journal of Mathematical Analysis and Applications
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Archiv der Mathematik
1 Duke Mathematical Journal
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Annalen
1 Meccanica
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Stochastic Analysis and Applications
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal of Nonlinear Science
1 SIAM Journal on Scientific Computing
1 St. Petersburg Mathematical Journal
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Computational Mathematics
1 The Journal of Fourier Analysis and Applications
1 Journal of Applied Analysis
1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Journal of Mathematical Fluid Mechanics
1 Nonlinear Analysis. Real World Applications
1 Foundations of Computational Mathematics
1 Communications on Pure and Applied Analysis
1 Milan Journal of Mathematics
1 Discrete and Continuous Dynamical Systems. Series S
1 Analysis & PDE
1 SIAM Journal on Financial Mathematics
1 Bulletin of Mathematical Sciences
1 Journal of Theoretical Biology
1 Advances in Nonlinear Analysis
1 EMS Surveys in Mathematical Sciences
1 Annals of PDE
1 Séminaire Laurent Schwartz. EDP et Applications
1 Philosophical Transactions A. Royal Society of London
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Water Waves

Citations by Year