caa a22 4500 605515824 CHVBK 20210128100711.0 cr unu---uuuuu 210128e20151001xx s 000 0 eng 10.1007/s00205-015-0856-z doi (NATIONALLICENCE)springer-10.1007/s00205-015-0856-z The Ginzburg-Landau Functional with Vanishing Magnetic Field [Elektronische Daten] [Bernard Helffer, Ayman Kachmar] We study the infimum of the Ginzburg-Landau functional in a two dimensional simply connected domain and with an external magnetic field allowed to vanish along a smooth curve. We obtain energy asymptotics which are valid when the Ginzburg-Landau parameter is large and the strength of the external field is below the third critical field. Compared with the known results when the external magnetic field does not vanish, we show in this regime a concentration of the energy near the zero set of the external magnetic field. Our results complete former results obtained by K. Attar and X.B. Pan-K.H. Kwek. Springer-Verlag Berlin Heidelberg, 2015 Helffer Bernard Laboratoire de Mathématiques, Université de Paris-Sud 11, Bât 425, 91405, Orsay, France aut Kachmar Ayman Department of Mathematics, Lebanese University, Hadat, Lebanon aut Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/1(2015-10-01), 55-122 0003-9527 218:1<55 2015 218 205 https://doi.org/10.1007/s00205-015-0856-z text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00205-015-0856-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Helffer Bernard Laboratoire de Mathématiques, Université de Paris-Sud 11, Bât 425, 91405, Orsay, France aut NATIONALLICENCE 700 1- Kachmar Ayman Department of Mathematics, Lebanese University, Hadat, Lebanon aut NATIONALLICENCE 773 0- Archive for Rational Mechanics and Analysis Springer Berlin Heidelberg 218/1(2015-10-01), 55-122 0003-9527 218:1<55 2015 218 205