Error estimates on homogenization of free boundary velocities in periodic media

Inwon C. Kim

Annales de l'I.H.P. Analyse non linéaire (2009)

  • Volume: 26, Issue: 3, page 999-1019
  • ISSN: 0294-1449

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Kim, Inwon C.. "Error estimates on homogenization of free boundary velocities in periodic media." Annales de l'I.H.P. Analyse non linéaire 26.3 (2009): 999-1019. <http://eudml.org/doc/78878>.

@article{Kim2009,
author = {Kim, Inwon C.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {homogenization; free boundaries; error estimates; viscosity solutions},
language = {eng},
number = {3},
pages = {999-1019},
publisher = {Elsevier},
title = {Error estimates on homogenization of free boundary velocities in periodic media},
url = {http://eudml.org/doc/78878},
volume = {26},
year = {2009},
}

TY - JOUR
AU - Kim, Inwon C.
TI - Error estimates on homogenization of free boundary velocities in periodic media
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2009
PB - Elsevier
VL - 26
IS - 3
SP - 999
EP - 1019
LA - eng
KW - homogenization; free boundaries; error estimates; viscosity solutions
UR - http://eudml.org/doc/78878
ER -

References

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  1. [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. Zbl1063.35025MR2116617
  2. [2] Glasner K.B., Homogenization of contact line dynamics, Interfaces Free Bound.8 (2006) 523-542. Zbl1111.35134MR2283924
  3. [3] K. Glasner, I. Kim, Global-time solutions for a model of contact line motion, Interfaces Free Bound., in press. Zbl1166.35386
  4. [4] Kim I.C., Uniqueness and existence result of Hele–Shaw and Stefan problem, Arch. Ration. Mech. Anal.168 (2003) 299-328. Zbl1044.76019MR1994745
  5. [5] Kim I.C., Homogenization of the free boundary velocity, Arch. Ration. Mech. Anal.185 (2007) 69-103. Zbl1162.35011MR2308859
  6. [6] Kim I.C., Homogenization of a model problem on contact line dynamics, Comm. Partial Differential Equations33 (7) (2008) 1235-1271. Zbl1161.35312MR2450158
  7. [7] A. Mellet, I.C. Kim, Homogenization of a Hele–Shaw type problem in periodic and random media, Arch. Ration. Mech. Anal., in press. Zbl1251.76015

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