Multiscale homogenization of a class of nonlinear equations with applications in lubrication theory and applications
We prove a homogenization result for monotone operators by using the method of multiscale convergence. More precisely, we study the asymptotic behavior as ε→0 of the solutions uε of the nonlinear equation divaε(x,∇uε)=divbε, where both aε and bε oscillate rapidly on several microscopic scales and...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2011-01-01
|
Series: | Journal of Function Spaces and Applications |
Online Access: | http://dx.doi.org/10.1155/2009/432170 |