hrcak mascot   Srce   HID

Izvorni znanstveni članak

A note on calculation of asymptotic energy for Ginzburg-Landau functional with ε-dependent 1-Lipschitz penalizing term in one dimension

Andrija Raguž

Puni tekst: engleski, pdf (402 KB) str. 89-99 preuzimanja: 167* citiraj
APA 6th Edition
Raguž, A. (2006). A note on calculation of asymptotic energy for Ginzburg-Landau functional with ε-dependent 1-Lipschitz penalizing term in one dimension. Glasnik matematički, 41 (1), 89-99. Preuzeto s https://hrcak.srce.hr/3302
MLA 8th Edition
Raguž, Andrija. "A note on calculation of asymptotic energy for Ginzburg-Landau functional with ε-dependent 1-Lipschitz penalizing term in one dimension." Glasnik matematički, vol. 41, br. 1, 2006, str. 89-99. https://hrcak.srce.hr/3302. Citirano 22.10.2021.
Chicago 17th Edition
Raguž, Andrija. "A note on calculation of asymptotic energy for Ginzburg-Landau functional with ε-dependent 1-Lipschitz penalizing term in one dimension." Glasnik matematički 41, br. 1 (2006): 89-99. https://hrcak.srce.hr/3302
Harvard
Raguž, A. (2006). 'A note on calculation of asymptotic energy for Ginzburg-Landau functional with ε-dependent 1-Lipschitz penalizing term in one dimension', Glasnik matematički, 41(1), str. 89-99. Preuzeto s: https://hrcak.srce.hr/3302 (Datum pristupa: 22.10.2021.)
Vancouver
Raguž A. A note on calculation of asymptotic energy for Ginzburg-Landau functional with ε-dependent 1-Lipschitz penalizing term in one dimension. Glasnik matematički [Internet]. 2006 [pristupljeno 22.10.2021.];41(1):89-99. Dostupno na: https://hrcak.srce.hr/3302
IEEE
A. Raguž, "A note on calculation of asymptotic energy for Ginzburg-Landau functional with ε-dependent 1-Lipschitz penalizing term in one dimension", Glasnik matematički, vol.41, br. 1, str. 89-99, 2006. [Online]. Dostupno na: https://hrcak.srce.hr/3302. [Citirano: 22.10.2021.]

Sažetak
We study asymptotic behavior of the Ginzburg-Landau functional



as ε → 0, where (gε) is a given sequence of 1-Lipschitz functions. In cases where the sequence (gε) possesses some additional properties we calculate (rescaled) minimal macroscopic energy associated to Iεgε as ε → 0. Thus we obtain partial generalization of our previous results.

Ključne riječi
Young measures; relaxation; Ginzburg-Landau functional; Gamma convergence

Hrčak ID: 3302

URI
https://hrcak.srce.hr/3302

Posjeta: 349 *