The Ginzburg-Landau Functional with Vanishing Magnetic Field
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| 001 | 605515824 | ||
| 003 | CHVBK | ||
| 005 | 20210128100711.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20151001xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s00205-015-0856-z |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s00205-015-0856-z | ||
| 245 | 0 | 4 | |a The Ginzburg-Landau Functional with Vanishing Magnetic Field |h [Elektronische Daten] |c [Bernard Helffer, Ayman Kachmar] |
| 520 | 3 | |a 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. | |
| 540 | |a Springer-Verlag Berlin Heidelberg, 2015 | ||
| 700 | 1 | |a Helffer |D Bernard |u Laboratoire de Mathématiques, Université de Paris-Sud 11, Bât 425, 91405, Orsay, France |4 aut | |
| 700 | 1 | |a Kachmar |D Ayman |u Department of Mathematics, Lebanese University, Hadat, Lebanon |4 aut | |
| 773 | 0 | |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 55-122 |x 0003-9527 |q 218:1<55 |1 2015 |2 218 |o 205 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s00205-015-0856-z |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s00205-015-0856-z |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Helffer |D Bernard |u Laboratoire de Mathématiques, Université de Paris-Sud 11, Bât 425, 91405, Orsay, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Kachmar |D Ayman |u Department of Mathematics, Lebanese University, Hadat, Lebanon |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Archive for Rational Mechanics and Analysis |d Springer Berlin Heidelberg |g 218/1(2015-10-01), 55-122 |x 0003-9527 |q 218:1<55 |1 2015 |2 218 |o 205 | ||