Error Estimates on Homogenization of Free Boundary Velocities in Periodic Media
Annales de l'I.H.P. Analyse non linéaire, Volume 26 (2009) no. 3, p. 999-1019
@article{AIHPC_2009__26_3_999_0,
author = {Kim, Inwon C.},
title = {Error Estimates on Homogenization of Free Boundary Velocities in Periodic Media},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
publisher = {Elsevier},
volume = {26},
number = {3},
year = {2009},
pages = {999-1019},
doi = {10.1016/j.anihpc.2008.10.004},
zbl = {1177.35260},
mrnumber = {2526413},
language = {en},
url = {http://www.numdam.org/item/AIHPC_2009__26_3_999_0}
}

Kim, Inwon C. Error Estimates on Homogenization of Free Boundary Velocities in Periodic Media. Annales de l'I.H.P. Analyse non linéaire, Volume 26 (2009) no. 3, pp. 999-1019. doi : 10.1016/j.anihpc.2008.10.004. http://www.numdam.org/item/AIHPC_2009__26_3_999_0/

[1] Caffarelli L. A., Souganidis P. E., Wang L., Homogenization of Fully Nonlinear, Uniformly Elliptic and Parabolic Partial Differential Equations in Stationary Ergodic Media, Comm. Pure Appl. Math. 58 (2005) 319-361. | MR 2116617 | Zbl 1063.35025

[2] Glasner K. B., Homogenization of Contact Line Dynamics, Interfaces Free Bound. 8 (2006) 523-542. | MR 2283924 | Zbl 1111.35134

[3] K. Glasner, I. Kim, Global-time solutions for a model of contact line motion, Interfaces Free Bound., in press.

[4] Kim I. C., Uniqueness and Existence Result of Hele-Shaw and Stefan Problem, Arch. Ration. Mech. Anal. 168 (2003) 299-328. | MR 1994745 | Zbl 1044.76019

[5] Kim I. C., Homogenization of the Free Boundary Velocity, Arch. Ration. Mech. Anal. 185 (2007) 69-103. | MR 2308859 | Zbl 1162.35011

[6] Kim I. C., Homogenization of a Model Problem on Contact Line Dynamics, Comm. Partial Differential Equations 33 (7) (2008) 1235-1271. | MR 2450158 | Zbl 1161.35312

[7] A. Mellet, I.C. Kim, Homogenization of a Hele-Shaw type problem in periodic and random media, Arch. Ration. Mech. Anal., in press. | Zbl 1251.76015 | Zbl pre05640834