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Homogenization of harmonic maps and superconducting composites

Journal Article · · SIAM Journal on Applied Mathematics (Society for Industrial and Applied Mathematics)

The authors 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. They obtain an effective (homogenized) anisotropic nonlinear problem. They also discuss applications of these results to a homogenized description of superconducting composites and superfluidity.

Research Organization:
Pennsylvania State Univ., University Park, PA (US)
OSTI ID:
20000624
Journal Information:
SIAM Journal on Applied Mathematics (Society for Industrial and Applied Mathematics), Journal Name: SIAM Journal on Applied Mathematics (Society for Industrial and Applied Mathematics) Journal Issue: 5 Vol. 59; ISSN SMJMAP; ISSN 0036-1399
Country of Publication:
United States
Language:
English

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