Naslov
Asymptotic Behaviour of Ginzburg-Landau Functionals

Autori
Raguž, Andrija

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
2nd Croatian Congress of Mathematics / Šikić, Hrvoje i dr. - Zagreb, 2000

Skup
2nd Croatian Congress of Mathematics

Mjesto i datum
Zagreb, Hrvatska, 15.07.2000. - 17.07.2000

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Domaća recenzija

Ključne riječi
singular perturbation; gamma convergence

Sažetak
In this talk we present a Gamma-convergence result describing asymptotic behavior of a Ginzburg-Landau functional accompanied by some penalizing term. We follow the approach developed in the paper {G. Alberti, S. M\"uller:} A new approach to variational problems with multiple scales, to appear. By exhibiting a procedure suggested by Alberti in order to find the admissible blow-up, we perform an intermediate step which relates to the case where the penalizing function can be chosen to be continuous with a derivative taking at most countable values. Finally, we explain how this result can be used to treat the case of Lipschitz penalizing term.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA