Homogenization and error estimates of free boundary velocities in periodic media

被引：0
|
作者：
Kim, Inwon C. [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90024 USA
来源：
APPLICABLE ANALYSIS | 2012年 / 91卷 / 06期
关键词：
nonlinear PDEs; homogenization; free boundary problems; VISCOSITY SOLUTIONS; FLAME PROPAGATION; CONVERGENCE; RATES; MODEL;
D O I：
10.1080/00036811.2011.635655
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we describe a recent result [I.C. Kim, Homogenization of a model problem on contact angle dynamics, Comm. Partial Diff. Eqns. 33(7-9), (2008), pp. 1235-1271; I.C. Kim, Error estimates on homogenization of free boundary velocities in periodic media, Ann. Inst. H. Poincar, Anal. Non-Lineaire 26(3) (2009), pp. 99-1019] on homogenization and error estimates of a free boundary problem, which describes quasi-static contact angle dynamics on inhomogeneous surface. The method presented here also applies to more general class of free boundary problems with oscillating boundary velocities.
引用
收藏
页码：1177 / 1187
页数：11
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