Homogenization of harmonic maps and superconducting composites

L. Berlyand, E. Khruslov

Research output: Contribution to journalArticlepeer-review

7 Scopus citations


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 languageEnglish (US)
Pages (from-to)1892-1916
Number of pages25
JournalSIAM Journal on Applied Mathematics
Issue number5
StatePublished - 1999

All Science Journal Classification (ASJC) codes

  • Applied Mathematics


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