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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


Puni tekst: engleski pdf 240 Kb

str. 401-421

preuzimanja: 449

citiraj


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

Hrčak ID:

44053

URI

https://hrcak.srce.hr/44053

Datum izdavanja:

9.12.2009.

Posjeta: 1.122 *