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Glasnik matematički, Vol.44 No.2 Prosinac 2009.

Izvorni znanstveni članak
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

Puni tekst nije dostupan.

Sažetak
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.

Ključne riječi
Minimization, multiple small scales, Ginzburg-Landau functional, Gamma convergence.

Posjeta: 35 *