Naslov
A note on calculation of asymptotic energy for Ginzburg-Landau functional with externally imposed lower-order oscillatory term in one dimension

Autori
Raguž, Andrija

Izvornik
Bollettino della Unione matematica italiana. B (0392-4041) 10B (2007), 3; 1125-1142

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Ginzburg-Landau functional ; Gamma-convergence ; penalization

Sažetak
In this note we consider the Ginzburg-Landau functional equipped with highly oscillatory periodic lower order term with $\varepsilon^{; ; ; \beta}; ; ; $-periodic penalizing function, where $\beta>0$ and $varepsilon\approx 0$. We determine how the corresponding rescaled aymptotic energy depends on the parameter $\beta$ as $\varepsilon$ tends to zero. In particuler, our analysis shows that minimizers of such a class of functionals are nearly $\varepsilon^{; ; ; 1\slash 3}; ; ; $-periodic.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA