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: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/432170 |