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Original scientific paper

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

Andrija Raguž

Fulltext: english, pdf (402 KB) pages 89-99 downloads: 168* cite
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. Retrieved from 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, no. 1, 2006, pp. 89-99. https://hrcak.srce.hr/3302. Accessed 8 Dec. 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, no. 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), pp. 89-99. Available at: https://hrcak.srce.hr/3302 (Accessed 08 December 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 [cited 2021 December 08];41(1):89-99. Available from: 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, no. 1, pp. 89-99, 2006. [Online]. Available: https://hrcak.srce.hr/3302. [Accessed: 08 December 2021]

Abstracts
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.

Keywords
Young measures; relaxation; Ginzburg-Landau functional; Gamma convergence

Hrčak ID: 3302

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

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