Abstract
We consider the Neumann boundary value problem for harmonic maps in an annular domain with a large number of small holes. On the boundary of the domain the degree condition is prescribed. We obtain an effective (homogenized) anisotropic nonlinear problem. We also discuss applications of these results to a homogenized description of superconducting composites and superfluidity.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1892-1916 |
| Number of pages | 25 |
| Journal | SIAM Journal on Applied Mathematics |
| Volume | 59 |
| Issue number | 5 |
| DOIs | |
| State | Published - 1999 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics