Homogenization of harmonic maps and superconducting composites

Leonid V. Berlyand, E. Khruslov

Research output: Contribution to journalArticle

7 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)1892-1916
Number of pages25
JournalSIAM Journal on Applied Mathematics
Volume59
Issue number5
DOIs
StatePublished - Jan 1 1999

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Superfluidity
Annular Domains
Superfluid helium
Degree Condition
Neumann Boundary Value Problem
Harmonic Maps
Homogenization
Boundary value problems
Nonlinear Problem
Composite
Composite materials

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Cite this

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Homogenization of harmonic maps and superconducting composites. / Berlyand, Leonid V.; Khruslov, E.

In: SIAM Journal on Applied Mathematics, Vol. 59, No. 5, 01.01.1999, p. 1892-1916.

Research output: Contribution to journalArticle

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