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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, I.; Kim, I. C.; Kim, Inwon; Kim, Inwon C.; Kim, Inwon Christina
Documents Indexed: 56 Publications since 1991

Publications by Year

Citations contained in zbMATH Open

46 Publications have been cited 337 times in 179 Documents Cited by Year
Uniqueness and existence results on the Hele-Shaw and the Stefan problems. Zbl 1044.76019
Kim, Inwon C.
42
2003
The Patlak-Keller-Segel model and its variations: properties of solutions via maximum principle. Zbl 1261.35080
Kim, Inwon; Yao, Yao
31
2012
Porous medium equation to Hele-Shaw flow with general initial density. Zbl 1392.92039
Kim, Inwon; Požár, Norbert
15
2018
Quasi-static evolution and congested crowd transport. Zbl 1293.35035
Alexander, Damon; Kim, Inwon; Yao, Yao
13
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
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
13
2009
Congested aggregation via Newtonian interaction. Zbl 1384.35136
Craig, Katy; Kim, Inwon; Yao, Yao
12
2018
An aggregation equation with degenerate diffusion: qualitative property of solutions. Zbl 1288.35312
Chayes, Lincoln; Kim, Inwon; Yao, Yao
12
2013
Regularity for the one-phase Hele-Shaw problem from a Lipschitz initial surface. Zbl 1189.35384
Choi, Sunhi; Jerison, David; Kim, Inwon
11
2007
Viscosity solutions for the two-phase Stefan problem. Zbl 1216.35181
Kim, Inwon C.; Požár, Norbert
10
2011
Homogenization of a Hele-Shaw problem in periodic and random media. Zbl 1251.76015
Kim, Inwon C.; Mellet, Antoine
10
2009
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.
9
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
8
2013
A variational approach to a quasi-static droplet model. Zbl 1228.35087
Grunewald, Natalie; Kim, Inwon
8
2011
Homogenization of a model problem on contact angle dynamics. Zbl 1161.35312
Kim, Inwon C.
8
2008
Homogenization for nonlinear PDEs in general domains with oscillatory Neumann boundary data. Zbl 1329.35046
Choi, Sunhi; Kim, Inwon C.
7
2014
Viscosity solutions for a model of contact line motion. Zbl 1166.35386
Glasner, Karl; Kim, Inwon C.
7
2009
Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360
Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E.
6
2016
Homogenization of one-phase Stefan-type problems in periodic and random media. Zbl 1197.35290
Kim, Inwon C.; Mellet, Antoine
6
2010
Continuity and discontinuity of the boundary layer tail. Zbl 1381.35039
Feldman, William M.; Kim, Inwon C.
5
2017
Nonlinear elliptic-parabolic problems. Zbl 1286.35174
Kim, Inwon C.; Požár, Norbert
5
2013
Regularity of one-phase Stefan problem near Lipschitz initial data. Zbl 1231.35318
Choi, Sunhi; Kim, Inwon C.
5
2010
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
Liquid drops sliding down an inclined plane. Zbl 1317.35299
Kim, Inwon; Mellet, Antoine
4
2014
Long time regularity of solutions of the Hele–Shaw problem. Zbl 1099.35098
Kim, Inwon
4
2006
A free boundary problem with curvature. Zbl 1069.35094
Kim, Inwon C.
4
2005
Singular limit of the porous medium equation with a drift. Zbl 1447.35333
Kim, Inwon; Požár, Norbert; Woodhouse, Brent
3
2019
On nonlinear cross-diffusion systems: an optimal transport approach. Zbl 1393.35118
Kim, Inwon; Mészáros, Alpár Richárd
3
2018
Uniform convergence for the incompressible limit of a tumor growth model. Zbl 1390.35374
Kim, Inwon; Turanova, Olga
3
2018
Dynamic stability of equilibrium capillary drops. Zbl 1293.35240
Feldman, William M.; Kim, Inwon C.
3
2014
The two-phase Stefan problem: regularization near Lipschitz initial data by phase dynamics. Zbl 1267.35259
Choi, Sunhi; Kim, Inwon
3
2012
Degenerate diffusion with a drift potential: a viscosity solutions approach. Zbl 1213.35178
Kim, Inwon C.; Lei, Helen K.
3
2010
Error estimates on homogenization of free boundary velocities in periodic media. Zbl 1177.35260
Kim, Inwon C.
3
2009
A two-sided contracting Stefan problem. Zbl 1154.35477
Chayes, Lincoln; Kim, Inwon C.
3
2008
Diffusion and geometric effects in passive advection by random arrays of vortices. Zbl 0825.76794
Avellaneda, M.; Torquato, S.; Kim, I. C.
3
1991
Liquid drops on a rough surface. Zbl 1418.76027
Feldman, William M.; Kim, Inwon C.
2
2018
Regularity properties of degenerate diffusion equations with drifts. Zbl 1395.35100
Kim, Inwon; Zhang, Yuming Paul
2
2018
Quantitative homogenization of elliptic partial differential equations with random oscillatory boundary data. Zbl 1418.35025
Feldman, William M.; Kim, Inwon C.; Souganidis, Panagiotis E.
2
2015
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
Singular limits of chemotaxis-growth model. Zbl 1001.35052
Kim, Inwon Christina
2
2001
Weak solutions to the Muskat problem with surface tension via optimal transport. Zbl 07298828
Jacobs, Matt; Kim, Inwon; Mészáros, Alpár R.
1
2021
A Fokker-Planck type approximation of parabolic PDEs with oblique boundary data. Zbl 1372.35158
Alexander, Damon; Kim, Inwon
1
2016
Weak solutions to the Muskat problem with surface tension via optimal transport. Zbl 07298828
Jacobs, Matt; Kim, Inwon; Mészáros, Alpár R.
1
2021
Singular limit of the porous medium equation with a drift. Zbl 1447.35333
Kim, Inwon; Požár, Norbert; Woodhouse, Brent
3
2019
Porous medium equation to Hele-Shaw flow with general initial density. Zbl 1392.92039
Kim, Inwon; Požár, Norbert
15
2018
Congested aggregation via Newtonian interaction. Zbl 1384.35136
Craig, Katy; Kim, Inwon; Yao, Yao
12
2018
On nonlinear cross-diffusion systems: an optimal transport approach. Zbl 1393.35118
Kim, Inwon; Mészáros, Alpár Richárd
3
2018
Uniform convergence for the incompressible limit of a tumor growth model. Zbl 1390.35374
Kim, Inwon; Turanova, Olga
3
2018
Liquid drops on a rough surface. Zbl 1418.76027
Feldman, William M.; Kim, Inwon C.
2
2018
Regularity properties of degenerate diffusion equations with drifts. Zbl 1395.35100
Kim, Inwon; Zhang, Yuming Paul
2
2018
Continuity and discontinuity of the boundary layer tail. Zbl 1381.35039
Feldman, William M.; Kim, Inwon C.
5
2017
Free boundary problems for tumor growth: a viscosity solutions approach. Zbl 1334.35360
Kim, Inwon C.; Perthame, Benoît; Souganidis, Panagiotis E.
6
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.
2
2015
Quasi-static evolution and congested crowd transport. Zbl 1293.35035
Alexander, Damon; Kim, Inwon; Yao, Yao
13
2014
Homogenization for nonlinear PDEs in general domains with oscillatory Neumann boundary data. Zbl 1329.35046
Choi, Sunhi; Kim, Inwon C.
7
2014
Liquid drops sliding down an inclined plane. Zbl 1317.35299
Kim, Inwon; Mellet, Antoine
4
2014
Dynamic stability of equilibrium capillary drops. Zbl 1293.35240
Feldman, William M.; Kim, Inwon C.
3
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
12
2013
Homogenization of Neumann boundary data with fully nonlinear operator. Zbl 1276.35023
Choi, Sunhi; Kim, Inwon C.; Lee, Ki-Ahm
8
2013
Nonlinear elliptic-parabolic problems. Zbl 1286.35174
Kim, Inwon C.; Požár, Norbert
5
2013
The Patlak-Keller-Segel model and its variations: properties of solutions via maximum principle. Zbl 1261.35080
Kim, Inwon; Yao, Yao
31
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
Viscosity solutions for the two-phase Stefan problem. Zbl 1216.35181
Kim, Inwon C.; Požár, Norbert
10
2011
A variational approach to a quasi-static droplet model. Zbl 1228.35087
Grunewald, Natalie; Kim, Inwon
8
2011
Homogenization of one-phase Stefan-type problems in periodic and random media. Zbl 1197.35290
Kim, Inwon C.; Mellet, Antoine
6
2010
Regularity of one-phase Stefan problem near Lipschitz initial data. Zbl 1231.35318
Choi, Sunhi; Kim, Inwon C.
5
2010
Degenerate diffusion with a drift potential: a viscosity solutions approach. Zbl 1213.35178
Kim, Inwon C.; Lei, Helen K.
3
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
13
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
11
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.
9
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.
42
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 246 Authors

30 Kim, Inwon Christina
12 Carrillo de la Plata, José Antonio
9 Perthame, Benoît
8 Feldman, William M.
5 Hadzic, Mahir
5 Liu, Jianguo
5 Mellet, Antoine
5 Požár, Norbert
5 Yao, Yao
4 Bedrossian, Jacob
4 González, María del Mar
4 Gualdani, Maria Pia
4 Guillen, Nestor
4 Markowich, Peter Alexander
4 Shkoller, Steve
3 Burger, Martin
3 Caffarelli, Luis Ángel
3 Calvez, Vincent
3 Craig, Katy
3 Pietschmann, Jan-Frederik
3 Schmidtchen, Markus
3 Schwab, Russell W.
3 Vauchelet, Nicolas
3 Wolfram, Marie-Therese
3 Zhang, Yuming Paul
3 Zhuge, Jinping
2 Bian, Shen
2 Choi, Sunhi
2 Fetecau, Razvan C.
2 Gallouët, Thomas O.
2 Gancedo, Francisco
2 Georgievskiĭ, Dmitriĭ Vladimirovich
2 Guidotti, Patrick Q.
2 He, Siming
2 Hoffmann, Franca
2 Hong, Liang
2 Jacobs, Matthew
2 Kovacic, Mitchell
2 Kuusi, Tuomo
2 Kwon, Dohyun
2 Laborde, Maxime
2 Lorenzi, Tommaso
2 Mainini, Edoardo
2 Mészáros, Alpár Richárd
2 Meunier, Nicolas
2 Monsaingeon, Léonard
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 Topaloglu, Ihsan
2 Volzone, Bruno
2 Wakui, Hiroshi
2 Wang, Jinhuan
2 Wang, Qi
2 Xie, Xuming
1 Alasio, Luca
1 Alazard, Thomas
1 Aleksanyan, Hayk
1 Ambrose, David M.
1 An, Jing
1 Armstrong, Scott N.
1 Avellaneda, Marco
1 Baroni, Paolo
1 Bella, Peter
1 Berendsen, Judith
1 Bernoff, Andrew J.
1 Bertozzi, Andrea Louise
1 Birindelli, Isabeau
1 Bizhanova, Galina Irzhanovna
1 Blanchet, Adrien
1 Blank, Ivan A.
1 Bruna, Maria
1 Bubba, Federica
1 Cardaliaguet, Pierre
1 Chambolle, Antonin
1 Chang-Lara, Héctor A.
1 Chaplain, Mark A. J.
1 Chen, Li
1 Chen, Lin
1 Chen, Xinfu
1 Chizat, Lénaïc
1 Cho, Heujie
1 Ciraolo, Giulio
1 Colli, Pierluigi
1 Cong, Wenting
1 Constantin, Peter
1 Cordoba, Diego
1 Dębiec, Tomasz
1 Degond, Pierre
1 Degtyarev, Sergeĭ Petrovich
1 Deng, Chubo
1 Després, Bruno
1 Di Francesco, Marco
1 Di Marino, Simone
1 Do, Tam
...and 146 more Authors
all top 5

Cited in 69 Serials

24 Archive for Rational Mechanics and Analysis
11 SIAM Journal on Mathematical Analysis
10 Communications in Partial Differential Equations
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
7 Calculus of Variations and Partial Differential Equations
6 Communications in Mathematical Physics
5 Journal of Differential Equations
5 Discrete and Continuous Dynamical Systems
4 Transactions of the American Mathematical Society
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Applicable Analysis
3 Acta Applicandae Mathematicae
3 Journal of Mathematical Sciences (New York)
3 Journal of the European Mathematical Society (JEMS)
3 Discrete and Continuous Dynamical Systems. Series B
3 Kinetic and Related Models
2 Communications on Pure and Applied Mathematics
2 Journal of Mathematical Biology
2 Nonlinearity
2 Advances in Mathematics
2 Applied Mathematics and Optimization
2 Manuscripta Mathematica
2 European Journal of Applied Mathematics
2 The Journal of Geometric Analysis
2 SIAM Journal on Applied Mathematics
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 Interfaces and Free Boundaries
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 SIAM Journal on Applied Dynamical Systems
2 Complex Variables and Elliptic Equations
1 Inverse Problems
1 Journal of Computational Physics
1 Journal of Mathematical Analysis and Applications
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Archiv der Mathematik
1 Indiana University Mathematics Journal
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal of Functional Analysis
1 Meccanica
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Stochastic Analysis and Applications
1 Physica D
1 Applied Mathematics Letters
1 Journal of Scientific Computing
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 St. Petersburg Mathematical Journal
1 NoDEA. Nonlinear Differential Equations and Applications
1 Advances in Computational Mathematics
1 Monte Carlo Methods and Applications
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 Milan Journal of Mathematics
1 Multiscale Modeling & Simulation
1 International Journal of Computational Methods
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Networks and Heterogeneous Media
1 Discrete and Continuous Dynamical Systems. Series S
1 Analysis & PDE
1 Journal of Theoretical Biology
1 EMS Surveys in Mathematical Sciences
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

Citations by Year