Error estimates on homogenization of free boundary velocities in periodic media

被引：6

作者：

Kim, Inwon C. ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2009年 / 26卷 / 03期

关键词：

Homogenization; Free boundaries; Error estimates; Viscosity solutions; DYNAMICS;

D O I：

10.1016/j.anihpc.2008.10.004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a free boundary problem which describes contact angle dynamics on inhomogeneous surface. We obtain an estimate on convergence rate of the free boundaries to the homogenization limit in periodic media. The method presented here also applies to more general class of free boundary problems with oscillating boundary velocities. (C) 2008 Elsevier Masson SAS. All rights reserved.

引用

页码：999 / 1019

页数：21

共 50 条

[1] Homogenization and error estimates of free boundary velocities in periodic media
Kim, Inwon C.
APPLICABLE ANALYSIS, 2012, 91 (06) : 1177 - 1187
[2] OPERATOR ERROR ESTIMATES IN THE HOMOGENIZATION PROBLEM FOR NONSTATIONARY PERIODIC EQUATIONS
Birman, M. Sh.
Suslina, T. A.
ST PETERSBURG MATHEMATICAL JOURNAL, 2009, 20 (06) : 873 - 928
[3] On operator error estimates for homogenization of hyperbolic systems with periodic coefficients
Meshkova, Yulia M.
JOURNAL OF SPECTRAL THEORY, 2021, 11 (02) : 587 - 660
[4] Estimates of the modeling error generated by homogenization of an elliptic boundary value problem
Repin, Sergey
Samrowski, Tatiana
Sauter, Stefan
JOURNAL OF NUMERICAL MATHEMATICS, 2016, 24 (01) : 1 - 15
[5] BOUNDARY ESTIMATES IN ELLIPTIC HOMOGENIZATION
Shen, Zhongwei
ANALYSIS & PDE, 2017, 10 (03): : 653 - 694
[6] Homogenization of quasilinear parabolic equations in periodic media
García-Azorero, J
Gutiérrez, CE
Peral, I
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2003, 28 (11-12) : 1887 - 1910
[7] ALGEBRAIC ERROR ESTIMATES FOR THE STOCHASTIC HOMOGENIZATION OF UNIFORMLY PARABOLIC EQUATIONS
Lin, Jessica
Smart, Charles K.
ANALYSIS & PDE, 2015, 8 (06): : 1497 - 1539
[8] Homogenization of a Locally Periodic Oscillating Boundary
S. Aiyappan
K. Pettersson
Applied Mathematics & Optimization, 2022, 86
[9] Boundary homogenization for periodic arrays of absorbers
Muratov, Cyrill B.
Shvartsman, Stanislav Y.
MULTISCALE MODELING & SIMULATION, 2008, 7 (01) : 44 - 61
[10] Willis elastodynamic homogenization theory revisited for periodic media
Nassar, H.
He, Q. -C.
Auffray, N.
JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2015, 77 : 158 - 178

← 1 2 3 4 5 →