| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4628044 | Applied Mathematics and Computation | 2014 | 11 Pages |
Abstract
In this paper, we investigate the variational problem for a sequence of 3-dimensional domains with highly oscillating boundaries. Using the unfolding method and the averaging method, we obtain the result of the homogenization problem, that is, a sequence of solutions of Eq. (3.1) converges to the solution of Eq. (3.4) as the periodic length approaches zero. It is noteworthy that the convergence is in the strong sense.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Cuiping Guo, Weiyu Liu,