Attar, Kamel Breakdown of superconductivity in a magnetic field with self-intersecting zero set. (English) Zbl 1476.35253 SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 58, 14 p. (2021). MSC: 35Q56 35P15 34L05 PDF BibTeX XML Cite \textit{K. Attar}, SN Partial Differ. Equ. Appl. 2, No. 4, Paper No. 58, 14 p. (2021; Zbl 1476.35253) Full Text: DOI arXiv OpenURL
Correggi, Michele; Giacomelli, Emanuela L. Effects of corners in surface superconductivity. (English) Zbl 1477.35251 Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 236, 57 p. (2021). MSC: 35Q56 82D55 78A25 35B40 35A01 35A02 35R09 PDF BibTeX XML Cite \textit{M. Correggi} and \textit{E. L. Giacomelli}, Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 236, 57 p. (2021; Zbl 1477.35251) Full Text: DOI arXiv OpenURL
Correggi, Michele Surface effects in superconductors with corners. (English) Zbl 1467.82105 Boll. Unione Mat. Ital. 14, No. 1, 51-67 (2021). MSC: 82D55 35Q56 PDF BibTeX XML Cite \textit{M. Correggi}, Boll. Unione Mat. Ital. 14, No. 1, 51--67 (2021; Zbl 1467.82105) Full Text: DOI arXiv OpenURL
Assaad, Wafaa The breakdown of superconductivity in the presence of magnetic steps. (English) Zbl 1459.35347 Commun. Contemp. Math. 23, No. 2, Article ID 2050005, 53 p. (2021). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q56 82D55 78A30 81Q10 35P15 35R09 45K05 PDF BibTeX XML Cite \textit{W. Assaad}, Commun. Contemp. Math. 23, No. 2, Article ID 2050005, 53 p. (2021; Zbl 1459.35347) Full Text: DOI arXiv OpenURL
Assaad, Wafaa; Kachmar, Ayman; Sabbagh, Lamis Non-homogeneous magnetic permeability and magnetic steps within the Ginzburg-Landau model. (English) Zbl 1451.35204 J. Elliptic Parabol. Equ. 6, No. 2, 655-684 (2020). MSC: 35Q56 35P15 35J10 82D55 PDF BibTeX XML Cite \textit{W. Assaad} et al., J. Elliptic Parabol. Equ. 6, No. 2, 655--684 (2020; Zbl 1451.35204) Full Text: DOI OpenURL
Fournais, Søren; Miqueu, Jean-Philippe; Pan, Xing-Bin Concentration behavior and lattice structure of 3D surface superconductivity in the half space. (English) Zbl 1420.82025 Math. Phys. Anal. Geom. 22, No. 2, Paper No. 12, 33 p. (2019). Reviewer: Ivan A. Parinov (Rostov-na-Donu) MSC: 82D55 35B25 35B40 35B38 35J47 35J50 35J57 35P15 35Q55 35Q56 PDF BibTeX XML Cite \textit{S. Fournais} et al., Math. Phys. Anal. Geom. 22, No. 2, Paper No. 12, 33 p. (2019; Zbl 1420.82025) Full Text: DOI arXiv OpenURL
Assaad, Wafaa; Kachmar, Ayman; Persson-Sundqvist, Mikael The distribution of superconductivity near a magnetic barrier. (English) Zbl 1416.82050 Commun. Math. Phys. 366, No. 1, 269-332 (2019). Reviewer: Ivan A. Parinov (Rostov-na-Donu) MSC: 82D55 35Q56 PDF BibTeX XML Cite \textit{W. Assaad} et al., Commun. Math. Phys. 366, No. 1, 269--332 (2019; Zbl 1416.82050) Full Text: DOI arXiv OpenURL
Fournais, Søren; Kachmar, Ayman; Pan, Xing-Bin Existence of surface smectic states of liquid crystals. (English) Zbl 1380.82054 J. Funct. Anal. 274, No. 3, 900-958 (2018). MSC: 82D30 82D55 35Q56 35B40 82B27 PDF BibTeX XML Cite \textit{S. Fournais} et al., J. Funct. Anal. 274, No. 3, 900--958 (2018; Zbl 1380.82054) Full Text: DOI arXiv Link OpenURL
Helffer, Bernard; Kachmar, Ayman Decay of superconductivity away from the magnetic zero set. (English) Zbl 1382.35285 Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 130, 35 p. (2017). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q56 35P15 35J10 PDF BibTeX XML Cite \textit{B. Helffer} and \textit{A. Kachmar}, Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 130, 35 p. (2017; Zbl 1382.35285) Full Text: DOI arXiv HAL OpenURL
Correggi, Michele; Giacomelli, Emanuela L. Surface superconductivity in presence of corners. (English) Zbl 1359.35184 Rev. Math. Phys. 29, No. 2, Article ID 1750005, 24 p. (2017). MSC: 35Q56 PDF BibTeX XML Cite \textit{M. Correggi} and \textit{E. L. Giacomelli}, Rev. Math. Phys. 29, No. 2, Article ID 1750005, 24 p. (2017; Zbl 1359.35184) Full Text: DOI arXiv OpenURL
Correggi, Michele; Rougerie, Nicolas Effects of boundary curvature on surface superconductivity. (English) Zbl 1342.82154 Lett. Math. Phys. 106, No. 4, 445-467 (2016). Reviewer: Shuji Watanabe (Maebashi) MSC: 82D55 35Q56 PDF BibTeX XML Cite \textit{M. Correggi} and \textit{N. Rougerie}, Lett. Math. Phys. 106, No. 4, 445--467 (2016; Zbl 1342.82154) Full Text: DOI arXiv OpenURL
Correggi, Michele; Rougerie, Nicolas Boundary behavior of the Ginzburg-Landau order parameter in the surface superconductivity regime. (English) Zbl 1351.35201 Arch. Ration. Mech. Anal. 219, No. 1, 553-606 (2016). Reviewer: Christos Sourdis (Torino) MSC: 35Q56 PDF BibTeX XML Cite \textit{M. Correggi} and \textit{N. Rougerie}, Arch. Ration. Mech. Anal. 219, No. 1, 553--606 (2016; Zbl 1351.35201) Full Text: DOI arXiv OpenURL
Attar, K. The ground state energy of the two dimensional Ginzburg-Landau functional with variable magnetic field. (English) Zbl 1320.82071 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 2, 325-345 (2015). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 35J57 PDF BibTeX XML Cite \textit{K. Attar}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 32, No. 2, 325--345 (2015; Zbl 1320.82071) Full Text: DOI arXiv OpenURL
Correggi, M.; Rougerie, N. On the Ginzburg-Landau functional in the surface superconductivity regime. (English) Zbl 1305.82062 Commun. Math. Phys. 332, No. 3, 1297-1343 (2014); erratum ibid. 338, No. 3, 1451–1452 (2015). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 35J60 78M30 35Q56 PDF BibTeX XML Cite \textit{M. Correggi} and \textit{N. Rougerie}, Commun. Math. Phys. 332, No. 3, 1297--1343 (2014; Zbl 1305.82062) Full Text: DOI arXiv OpenURL
Pan, Xing-Bin Asymptotics of solutions of a quasilinear system involving curl. (English) Zbl 1314.35008 J. Math. Phys. 52, No. 2, 023517, 34 p. (2011). MSC: 35B25 35B40 35L77 35Q56 82D55 35A15 PDF BibTeX XML Cite \textit{X.-B. Pan}, J. Math. Phys. 52, No. 2, 023517, 34 p. (2011; Zbl 1314.35008) Full Text: DOI OpenURL
Fournais, Søren; Kachmar, Ayman Nucleation of bulk superconductivity close to critical magnetic field. (English) Zbl 1205.82147 Adv. Math. 226, No. 2, 1213-1258 (2011). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 35J50 82D40 PDF BibTeX XML Cite \textit{S. Fournais} and \textit{A. Kachmar}, Adv. Math. 226, No. 2, 1213--1258 (2011; Zbl 1205.82147) Full Text: DOI arXiv OpenURL
Fournais, Soren; Helffer, Bernard Bulk superconductivity in type II superconductors near the second critical field. (English) Zbl 1188.82152 J. Eur. Math. Soc. (JEMS) 12, No. 2, 461-470 (2010). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 35Q56 PDF BibTeX XML Cite \textit{S. Fournais} and \textit{B. Helffer}, J. Eur. Math. Soc. (JEMS) 12, No. 2, 461--470 (2010; Zbl 1188.82152) Full Text: DOI arXiv Link OpenURL
Fournais, Søren; Kachmar, Ayman On the transition to the normal phase for superconductors surrounded by normal conductors. (English) Zbl 1178.35346 J. Differ. Equations 247, No. 6, 1637-1672 (2009). Reviewer: Evgeny Korotyaev (Cardiff) MSC: 35Q55 35J25 35A15 35B35 35J10 82D37 PDF BibTeX XML Cite \textit{S. Fournais} and \textit{A. Kachmar}, J. Differ. Equations 247, No. 6, 1637--1672 (2009; Zbl 1178.35346) Full Text: DOI arXiv OpenURL
Helffer, Bernard; Pan, Xing-Bin Reduced Landau-de Gennes functional and surface smectic state of liquid crystals. (English) Zbl 1153.49003 J. Funct. Anal. 255, No. 11, 3008-3069 (2008). MSC: 49J20 35J20 58E50 82D30 35Q55 76A15 PDF BibTeX XML Cite \textit{B. Helffer} and \textit{X.-B. Pan}, J. Funct. Anal. 255, No. 11, 3008--3069 (2008; Zbl 1153.49003) Full Text: DOI OpenURL
Almog, Y. Thin boundary layers of chiral smectics. (English) Zbl 1149.76004 Calc. Var. Partial Differ. Equ. 33, No. 3, 299-328 (2008). MSC: 76A15 PDF BibTeX XML Cite \textit{Y. Almog}, Calc. Var. Partial Differ. Equ. 33, No. 3, 299--328 (2008; Zbl 1149.76004) Full Text: DOI OpenURL
Fournais, S.; Helffer, B. On the third critical field in Ginzburg-Landau theory. (English) Zbl 1107.58009 Commun. Math. Phys. 266, No. 1, 153-196 (2006). MSC: 58E50 82D55 PDF BibTeX XML Cite \textit{S. Fournais} and \textit{B. Helffer}, Commun. Math. Phys. 266, No. 1, 153--196 (2006; Zbl 1107.58009) Full Text: DOI arXiv OpenURL
Almog, Y. Abrikosov lattices in finite domains. (English) Zbl 1106.35089 Commun. Math. Phys. 262, No. 3, 677-702 (2006). MSC: 35Q55 82D55 35B10 35J55 35J65 35B15 35A15 PDF BibTeX XML Cite \textit{Y. Almog}, Commun. Math. Phys. 262, No. 3, 677--702 (2006; Zbl 1106.35089) Full Text: DOI OpenURL
Du, Qiang Numerical approximations of the Ginzburg-Landau models for superconductivity. (English) Zbl 1111.82067 J. Math. Phys. 46, No. 9, 095109, 22 p. (2005). MSC: 82D55 65M06 65M60 65N06 65N30 PDF BibTeX XML Cite \textit{Q. Du}, J. Math. Phys. 46, No. 9, 095109, 22 p. (2005; Zbl 1111.82067) Full Text: DOI OpenURL
Almog, Y. Emergence of the triangular lattice near a flat wall. (English) Zbl 1111.58014 J. Math. Phys. 46, No. 9, 095103, 29 p. (2005). MSC: 58E50 58E07 82D55 PDF BibTeX XML Cite \textit{Y. Almog}, J. Math. Phys. 46, No. 9, 095103, 29 p. (2005; Zbl 1111.58014) Full Text: DOI Link OpenURL
Fournais, S.; Helffer, B. Energy asymptotics for type II superconductors. (English) Zbl 1160.82365 Calc. Var. Partial Differ. Equ. 24, No. 3, 341-376 (2005). MSC: 82D55 35Q55 35B40 35J50 58E50 PDF BibTeX XML Cite \textit{S. Fournais} and \textit{B. Helffer}, Calc. Var. Partial Differ. Equ. 24, No. 3, 341--376 (2005; Zbl 1160.82365) Full Text: DOI OpenURL
Almog, Y. Nonlinear surface superconductivity in the large \(\kappa\) limit. (English) Zbl 1111.82064 Rev. Math. Phys. 16, No. 8, 961-976 (2004). MSC: 82D55 35Q40 58E50 PDF BibTeX XML Cite \textit{Y. Almog}, Rev. Math. Phys. 16, No. 8, 961--976 (2004; Zbl 1111.82064) Full Text: DOI OpenURL
Almog, Y. Nonlinear surface superconductivity in three dimensions in the large \(\kappa\) limit. (English) Zbl 1072.82578 Commun. Contemp. Math. 6, No. 4, 637-652 (2004). MSC: 82D55 35A15 35Q55 PDF BibTeX XML Cite \textit{Y. Almog}, Commun. Contemp. Math. 6, No. 4, 637--652 (2004; Zbl 1072.82578) Full Text: DOI OpenURL
Almog, Y. The loss of stability of surface superconductivity. (English) Zbl 1071.82062 J. Math. Phys. 45, No. 7, 2815-2832 (2004). MSC: 82D55 58E50 PDF BibTeX XML Cite \textit{Y. Almog}, J. Math. Phys. 45, No. 7, 2815--2832 (2004; Zbl 1071.82062) Full Text: DOI Link OpenURL
Alama, Stan; Bronsard, Lia On the second critical field for a Ginzburg-Landau model with ferromagnetic interactions. (English) Zbl 1134.82340 Rev. Math. Phys. 16, No. 2, 147-174 (2004). MSC: 82D55 35Q60 PDF BibTeX XML Cite \textit{S. Alama} and \textit{L. Bronsard}, Rev. Math. Phys. 16, No. 2, 147--174 (2004; Zbl 1134.82340) Full Text: DOI OpenURL
Pan, Xing-Bin Surface superconductivity in \(3\) dimensions. (English) Zbl 1051.35090 Trans. Am. Math. Soc. 356, No. 10, 3899-3937 (2004). MSC: 35Q55 82D55 81Q10 PDF BibTeX XML Cite \textit{X.-B. Pan}, Trans. Am. Math. Soc. 356, No. 10, 3899--3937 (2004; Zbl 1051.35090) Full Text: DOI OpenURL