Original scientific paper

https://doi.org/10.3336/gm.44.2.09

A result in asymptotic analysis for the functional of Ginzburg-Landau type with externally imposed multiple small scales in one dimension

Andrija Raguž ; Department of Mathematics, University of Zagreb, 10 000 Zagreb, Croatia

Abstract

In this paper we present technical improvement of results in our previous paper. We study asymptotic behavior of the functional


as ε → 0, where a is 1 × 1-periodic. We determine (rescaled) minimal asymptotic energy associated to Jεa,β,γ as ε → 0 where β, γ ≥ 0, β + γ > 0.

Keywords

Minimization; multiple small scales; Ginzburg-Landau functional; Gamma convergence

Hrčak ID:

44053

URI

https://hrcak.srce.hr/44053

Publication date:

9.12.2009.

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