@article{AIHPC_2002__19_4_371_0,
author = {Garroni, Adriana and Niethammer, Barbara},
title = {Correctors and error estimates in the homogenization of a {Mullins-Sekerka} problem},
journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
pages = {371--393},
year = {2002},
publisher = {Elsevier},
volume = {19},
number = {4},
zbl = {1003.82007},
language = {en},
url = {https://www.numdam.org/item/AIHPC_2002__19_4_371_0/}
}
TY - JOUR AU - Garroni, Adriana AU - Niethammer, Barbara TI - Correctors and error estimates in the homogenization of a Mullins-Sekerka problem JO - Annales de l'I.H.P. Analyse non linéaire PY - 2002 SP - 371 EP - 393 VL - 19 IS - 4 PB - Elsevier UR - https://www.numdam.org/item/AIHPC_2002__19_4_371_0/ LA - en ID - AIHPC_2002__19_4_371_0 ER -
%0 Journal Article %A Garroni, Adriana %A Niethammer, Barbara %T Correctors and error estimates in the homogenization of a Mullins-Sekerka problem %J Annales de l'I.H.P. Analyse non linéaire %D 2002 %P 371-393 %V 19 %N 4 %I Elsevier %U https://www.numdam.org/item/AIHPC_2002__19_4_371_0/ %G en %F AIHPC_2002__19_4_371_0
Garroni, Adriana; Niethammer, Barbara. Correctors and error estimates in the homogenization of a Mullins-Sekerka problem. Annales de l'I.H.P. Analyse non linéaire, Tome 19 (2002) no. 4, pp. 371-393. https://www.numdam.org/item/AIHPC_2002__19_4_371_0/
[1] , , The equations of Ostwald ripening for dilute systems, J. Stat. Phys. 95 (5/6) (1999) 851-866. | Zbl | MR
[2] Alikakos N., Fusco G., Ostwald ripening for dilute systems under quasistationary dynamics, Comm. Math. Phys., to appear. | Zbl | MR
[3] , Global asymptotic limit of solutions of the Cahn-Hilliard equation, J. Diff. Geometry 44 (1996) 262-311. | Zbl | MR
[4] , , , Existence, uniqueness and regularity of classical solutions of the Mullins-Sekerka problem, Comm. Part. Diff. Eq. 21 (1996) 1705-1727. | Zbl | MR
[5] , , A strange term coming from nowhere, in: , (Eds.), Topics in the Mathematical Modelling of Composite Materials, Birkhäuser, 1997, pp. 45-94. | Zbl | MR
[6] , , Classical solutions for the quasi-stationary Stefan problem with surface tension, in: (Ed.), Papers associated with the International Conference on Partial Differential Equations, Potsdam, Germany, June 29-July 2, 1996, Akademie-Verlag, 1996, pp. 98-104. | Zbl | MR
[7] , Elliptic Problems in Nonsmoooth Domains, Pitman, Boston, 1985. | Zbl | MR
[8] , , Estimation de l'erreur dans des problemes de Dirichlet ou apparait un terme etrange, in: Partial Differential Equations and the Calculus of Variations. Essays in Honor of Ennio De Giorgi, Birkhäuser, 1989, pp. 661-696. | Zbl | MR
[9] , An introduction to the kinetics of first order phase transitions, in: (Ed.), Solids Far from Equilibrium, Cambridge University Press, 1992, pp. 297-362.
[10] , , The kinetics of precipitation from supersaturated solid solutions, J. Phys. Chem. Solids 19 (1961) 35-50.
[11] , Derivation of the LSW-theory for Ostwald ripening by homogenization methods, Arch. Rat. Mech. Anal. 147 (2) (1999) 119-178. | Zbl | MR
[12] , , Ostwald Ripening: The screening length revisited, Calc. Var. and PDE 13 (1) (2001) 33-68. | Zbl | MR
[13] , , Non-self-similar behavior in the LSW theory of Ostwald ripening, J. Stat. Phys. 95 (5/6) (1999) 867-902. | Zbl | MR
[14] , , On the initial-value problem in the Lifshitz-Slyozov-Wagner theory of Ostwald ripening, SIAM J. Math. Anal. 31 (3) (2000) 457-485. | Zbl | MR
[15] , An extended interpolation inequality, Ann. Scuola Norm. Sup. Pisa Ser. III 20 (1966) 733-737. | Zbl | MR | Numdam
[16] , On the effect of stochastic fluctuations in the dynamics of the Lifshitz-Slyozov-Wagner model, J. Stat. Phys. (2000) 57-113. | Zbl | MR
[17] , The theory of Ostwald ripening, J. Stat. Phys. 38 (1985) 231-252.
[18] , Theorie der Alterung von Niederschlägen durch Umlösen, Z. Elektrochemie 65 (1961) 581-594.
[19] , Weakly Differentiable Functions, Springer, New York, 1989. | Zbl | MR





