Canevari, Giacomo; Dipasquale, Federico Luigi; Orlandi, Giandomenico The Yang-Mills-Higgs functional on complex line bundles: \(\Gamma\)-convergence and the London equation. (English) Zbl 07751580 Arch. Ration. Mech. Anal. 247, No. 6, Paper No. 104, 67 p. (2023). MSC: 58E15 49Qxx 53Cxx PDFBibTeX XMLCite \textit{G. Canevari} et al., Arch. Ration. Mech. Anal. 247, No. 6, Paper No. 104, 67 p. (2023; Zbl 07751580) Full Text: DOI arXiv OA License
Tonegawa, Yoshihiro On Brakke’s mean curvature flow. (English) Zbl 07735873 Sugaku Expo. 35, No. 2, 243-264 (2022); translation from Sūgaku 71, No. 2, 138-158 (2019). MSC: 53E10 49Q20 PDFBibTeX XMLCite \textit{Y. Tonegawa}, Sugaku Expo. 35, No. 2, 243--264 (2022; Zbl 07735873); translation from Sūgaku 71, No. 2, 138--158 (2019) Full Text: DOI
Colinet, Andrew Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds. (English) Zbl 1496.35375 Adv. Differ. Equ. 27, No. 11-12, 823-894 (2022). MSC: 35Q56 35B40 35R01 PDFBibTeX XMLCite \textit{A. Colinet}, Adv. Differ. Equ. 27, No. 11--12, 823--894 (2022; Zbl 1496.35375) Full Text: arXiv Link
Zhang, Jingxuan A generic framework of adiabatic approximation for nonlinear evolutions. (English) Zbl 1502.37084 Lett. Math. Phys. 112, No. 2, Paper No. 31, 34 p. (2022). MSC: 37L65 37L05 37L25 37K06 37K40 PDFBibTeX XMLCite \textit{J. Zhang}, Lett. Math. Phys. 112, No. 2, Paper No. 31, 34 p. (2022; Zbl 1502.37084) Full Text: DOI arXiv
Zhang, Jingxuan Adiabatic approximation for the motion of Ginzburg-Landau vortex filaments. (English) Zbl 1508.35170 Commun. Math. Phys. 389, No. 2, 1061-1085 (2022). Reviewer: Ma Wen-Xiu (Tampa) MSC: 35Q56 35Q55 82D50 PDFBibTeX XMLCite \textit{J. Zhang}, Commun. Math. Phys. 389, No. 2, 1061--1085 (2022; Zbl 1508.35170) Full Text: DOI arXiv
Canevari, Giacomo; Orlandi, Giandomenico Topological singularities for vector-valued Sobolev maps and applications. (Singularités topologiques des fonctions de Sobolev à valeurs vectorielles et applications.) (English. French summary) Zbl 1471.58009 Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 2, 327-351 (2021). Reviewer: Valerii V. Obukhovskij (Voronezh) MSC: 58C06 49Q15 49Q20 PDFBibTeX XMLCite \textit{G. Canevari} and \textit{G. Orlandi}, Ann. Fac. Sci. Toulouse, Math. (6) 30, No. 2, 327--351 (2021; Zbl 1471.58009) Full Text: DOI
Stern, Daniel Existence and limiting behavior of min-max solutions of the Ginzburg-Landau equations on compact manifolds. (English) Zbl 1472.35368 J. Differ. Geom. 118, No. 2, 335-371 (2021). MSC: 35Q56 49J35 35B38 35R01 PDFBibTeX XMLCite \textit{D. Stern}, J. Differ. Geom. 118, No. 2, 335--371 (2021; Zbl 1472.35368) Full Text: DOI
Bonafini, M.; Le, V. P. C.; Novaga, M.; Orlandi, G. On the obstacle problem for fractional semilinear wave equations. (English) Zbl 1466.35268 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 210, Article ID 112368, 23 p. (2021). MSC: 35L86 35L20 35L71 35R11 PDFBibTeX XMLCite \textit{M. Bonafini} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 210, Article ID 112368, 23 p. (2021; Zbl 1466.35268) Full Text: DOI arXiv
Fonseca, Irene; Ginster, Janusz; Wojtowytsch, Stephan On the motion of curved dislocations in three dimensions: simplified linearized elasticity. (English) Zbl 1468.35198 SIAM J. Math. Anal. 53, No. 2, 2373-2426 (2021). MSC: 35Q74 35K93 74N05 74B10 35C20 PDFBibTeX XMLCite \textit{I. Fonseca} et al., SIAM J. Math. Anal. 53, No. 2, 2373--2426 (2021; Zbl 1468.35198) Full Text: DOI arXiv
Lei, Yutian Asymptotic behavior of the initial-boundary value problem of Landau-Lifshitz-Schrödinger type. (English) Zbl 1461.35056 Taiwanese J. Math. 24, No. 5, 1229-1248 (2020). MSC: 35B40 35K51 35Q55 35Q60 PDFBibTeX XMLCite \textit{Y. Lei}, Taiwanese J. Math. 24, No. 5, 1229--1248 (2020; Zbl 1461.35056) Full Text: DOI Euclid
Stern, Daniel \(p\)-harmonic maps to \(S^1\) and stationary varifolds of codimension two. (English) Zbl 1475.58009 Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 187, 46 p. (2020). Reviewer: Andreas Gastel (Essen) MSC: 58E20 53C43 PDFBibTeX XMLCite \textit{D. Stern}, Calc. Var. Partial Differ. Equ. 59, No. 6, Paper No. 187, 46 p. (2020; Zbl 1475.58009) Full Text: DOI arXiv
Jiang, Gui-Chun; Wang, Chang-Jian; Zheng, Gao-Feng Convergence of solutions of some Allen-Cahn equations to Brakke’s mean curvature flow. (English) Zbl 1448.35307 Acta Appl. Math. 167, 149-169 (2020). MSC: 35K58 53E10 28A75 35B25 35K20 PDFBibTeX XMLCite \textit{G.-C. Jiang} et al., Acta Appl. Math. 167, 149--169 (2020; Zbl 1448.35307) Full Text: DOI
Feng, Zhewen; Hong, Min-Chun; Mei, Yu Convergence of the Ginzburg-Landau approximation for the Ericksen-Leslie system. (English) Zbl 1429.35174 SIAM J. Math. Anal. 52, No. 1, 481-523 (2020). MSC: 35Q35 35Q30 PDFBibTeX XMLCite \textit{Z. Feng} et al., SIAM J. Math. Anal. 52, No. 1, 481--523 (2020; Zbl 1429.35174) Full Text: DOI arXiv
Cheng, Da Rong Asymptotics for the Ginzburg-Landau equation on manifolds with boundary under homogeneous Neumann condition. (English) Zbl 1433.35375 J. Funct. Anal. 278, No. 4, Article ID 108364, 93 p. (2020). MSC: 35Q56 35B40 58E20 35B35 PDFBibTeX XMLCite \textit{D. R. Cheng}, J. Funct. Anal. 278, No. 4, Article ID 108364, 93 p. (2020; Zbl 1433.35375) Full Text: DOI arXiv
Canevari, Giacomo; Orlandi, Giandomenico Topological singular set of vector-valued maps. I: Applications to manifold-constrained Sobolev and BV spaces. (English) Zbl 1411.58004 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 72, 40 p. (2019). MSC: 58C06 49Q15 49Q20 PDFBibTeX XMLCite \textit{G. Canevari} and \textit{G. Orlandi}, Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 72, 40 p. (2019; Zbl 1411.58004) Full Text: DOI arXiv
Laux, Tim; Yip, Nung Kwan Analysis of diffusion generated motion for mean curvature flow in codimension two: a gradient-flow approach. (English) Zbl 1411.53050 Arch. Ration. Mech. Anal. 232, No. 2, 1113-1163 (2019). MSC: 53C44 35K55 53C80 PDFBibTeX XMLCite \textit{T. Laux} and \textit{N. K. Yip}, Arch. Ration. Mech. Anal. 232, No. 2, 1113--1163 (2019; Zbl 1411.53050) Full Text: DOI arXiv
Song, Chong; Sun, Jun Skew mean curvature flow. (English) Zbl 1405.53093 Commun. Contemp. Math. 21, No. 1, Article ID 1750090, 29 p. (2019). MSC: 53C44 37K65 53Z05 PDFBibTeX XMLCite \textit{C. Song} and \textit{J. Sun}, Commun. Contemp. Math. 21, No. 1, Article ID 1750090, 29 p. (2019; Zbl 1405.53093) Full Text: DOI arXiv
Bauman, Patricia; Phillips, Daniel; Wang, Changyou Higher dimensional Ginzburg-Landau equations under weak anchoring boundary conditions. (English) Zbl 1404.82084 J. Funct. Anal. 276, No. 2, 447-495 (2019). MSC: 82D55 35Q56 35B40 PDFBibTeX XMLCite \textit{P. Bauman} et al., J. Funct. Anal. 276, No. 2, 447--495 (2019; Zbl 1404.82084) Full Text: DOI arXiv
Qi, Yuanwei; Zheng, Gao-Feng Convergence of solutions of the weighted Allen-Cahn equations to Brakke type flow. (English) Zbl 1428.35180 Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 133, 41 p. (2018). MSC: 35K58 53E10 28A75 35B25 35K20 PDFBibTeX XMLCite \textit{Y. Qi} and \textit{G.-F. Zheng}, Calc. Var. Partial Differ. Equ. 57, No. 5, Paper No. 133, 41 p. (2018; Zbl 1428.35180) Full Text: DOI
Brenier, Yann; Duan, Xianglong From conservative to dissipative systems through quadratic change of time, with application to the curve-shortening flow. (English) Zbl 1387.35475 Arch. Ration. Mech. Anal. 227, No. 2, 545-565 (2018). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q31 76N15 76S05 81T30 81T20 PDFBibTeX XMLCite \textit{Y. Brenier} and \textit{X. Duan}, Arch. Ration. Mech. Anal. 227, No. 2, 545--565 (2018; Zbl 1387.35475) Full Text: DOI arXiv
Côte, Delphine; Côte, Raphaël Limiting motion for the parabolic Ginzburg-Landau equation with infinite energy data. (English) Zbl 1360.35259 Commun. Math. Phys. 350, No. 2, 507-568 (2017). MSC: 35Q56 35K55 PDFBibTeX XMLCite \textit{D. Côte} and \textit{R. Côte}, Commun. Math. Phys. 350, No. 2, 507--568 (2017; Zbl 1360.35259) Full Text: DOI arXiv
Serfaty, Sylvia Mean field limits for Ginzburg-Landau vortices. (English) Zbl 1362.35292 Sémin. Laurent Schwartz, EDP Appl. 2015-2016, Exp. No. 3, 15 p. (2016). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q56 35B40 35Q55 35Q31 35B44 35K55 PDFBibTeX XMLCite \textit{S. Serfaty}, Sémin. Laurent Schwartz, EDP Appl. 2015--2016, Exp. No. 3, 15 p. (2016; Zbl 1362.35292) Full Text: DOI Numdam
Kim, Kwang Ik; Liu, Zuhan Extinction phenomenon for spinor Ginzburg-Landau equations in three dimensions. (English) Zbl 1338.82074 Appl. Math. Comput. 256, 786-807 (2015). MSC: 82D55 35Q56 35B25 35K45 35K91 PDFBibTeX XMLCite \textit{K. I. Kim} and \textit{Z. Liu}, Appl. Math. Comput. 256, 786--807 (2015; Zbl 1338.82074) Full Text: DOI
Lei, Yutian On an initial-boundary value problem for the \(p\)-Ginzburg-Landau system. (English) Zbl 1381.35079 Math. Methods Appl. Sci. 38, No. 17, 4097-4110 (2015). MSC: 35K51 35Q56 35B25 35D30 35K92 35K65 PDFBibTeX XMLCite \textit{Y. Lei}, Math. Methods Appl. Sci. 38, No. 17, 4097--4110 (2015; Zbl 1381.35079) Full Text: DOI
Kasai, Kota; Tonegawa, Yoshihiro A general regularity theory for weak mean curvature flow. (English) Zbl 1298.53063 Calc. Var. Partial Differ. Equ. 50, No. 1-2, 1-68 (2014). Reviewer: Witold Mozgawa (Lublin) MSC: 53C44 49Q20 PDFBibTeX XMLCite \textit{K. Kasai} and \textit{Y. Tonegawa}, Calc. Var. Partial Differ. Equ. 50, No. 1--2, 1--68 (2014; Zbl 1298.53063) Full Text: DOI arXiv
Pisante, Adriano; Ponsiglione, Marcello Phase transitions and minimal hypersurfaces in hyperbolic space. (English) Zbl 1261.30003 Commun. Partial Differ. Equations 36, No. 4-6, 819-849 (2011). MSC: 30F45 49Q05 53C42 58J32 35J20 PDFBibTeX XMLCite \textit{A. Pisante} and \textit{M. Ponsiglione}, Commun. Partial Differ. Equations 36, No. 4--6, 819--849 (2011; Zbl 1261.30003) Full Text: DOI arXiv
Zhou, Ling; Xu, Haifeng; Liu, Zuhan Asymptotic behavior of critical points for a Gross-Pitaevskii energy. (English) Zbl 1218.35181 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4274-4291 (2011). MSC: 35Q40 35B38 35B40 81V80 PDFBibTeX XMLCite \textit{L. Zhou} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 12, 4274--4291 (2011; Zbl 1218.35181) Full Text: DOI
Tice, Ian Ginzburg-Landau vortex dynamics driven by an applied boundary current. (English) Zbl 1201.82064 Commun. Pure Appl. Math. 63, No. 12, 1622-1676 (2010). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 35Q56 58E20 PDFBibTeX XMLCite \textit{I. Tice}, Commun. Pure Appl. Math. 63, No. 12, 1622--1676 (2010; Zbl 1201.82064) Full Text: DOI arXiv
Liu, Zuhan Rotating two-component Bose-Einstein condensates. (English) Zbl 1189.35313 Acta Appl. Math. 110, No. 1, 367-398 (2010). MSC: 35Q55 35Q40 81V80 PDFBibTeX XMLCite \textit{Z. Liu}, Acta Appl. Math. 110, No. 1, 367--398 (2010; Zbl 1189.35313) Full Text: DOI
Kim, Kwang Ik; Liu, Zuhan Bose-Einstein condensates with non-classical vortex. (English) Zbl 1190.35209 Acta Appl. Math. 110, No. 3, 1137-1152 (2010). MSC: 35Q55 35Q40 81V80 PDFBibTeX XMLCite \textit{K. I. Kim} and \textit{Z. Liu}, Acta Appl. Math. 110, No. 3, 1137--1152 (2010; Zbl 1190.35209) Full Text: DOI
Bellettini, Giovanni; Novaga, Matteo; Orlandi, Giandomenico Time-like minimal submanifolds as singular limits of nonlinear wave equations. (English) Zbl 1190.35022 Physica D 239, No. 6, 335-339 (2010). MSC: 35B25 35L71 35L15 PDFBibTeX XMLCite \textit{G. Bellettini} et al., Physica D 239, No. 6, 335--339 (2010; Zbl 1190.35022) Full Text: DOI arXiv
Liu, Zuhan Spinor Ginzburg-Landau equation and mean curvature flow. (English) Zbl 1178.35072 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5-6, 2053-2086 (2009). MSC: 35B40 35K55 35Q40 35Q56 53C44 82D55 PDFBibTeX XMLCite \textit{Z. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 5--6, 2053--2086 (2009; Zbl 1178.35072) Full Text: DOI
Moser, Roger Ginzburg-Landau vortex lines and the elastica functional. (English) Zbl 1221.35406 Commun. Contemp. Math. 11, No. 1, 71-107 (2009). MSC: 35Q56 35J60 49Q10 49J45 PDFBibTeX XMLCite \textit{R. Moser}, Commun. Contemp. Math. 11, No. 1, 71--107 (2009; Zbl 1221.35406) Full Text: DOI
Liu, Zuhan; Zhou, Ling The spinor Ginzburg-Landau model in dimension three. (English) Zbl 1157.82015 Appl. Math. Comput. 207, No. 2, 448-461 (2009). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82B26 82D55 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{L. Zhou}, Appl. Math. Comput. 207, No. 2, 448--461 (2009; Zbl 1157.82015) Full Text: DOI
Liu, Zuhan Motion of vortex-filaments for superconductivity. (English) Zbl 1194.35063 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4412-4442 (2008). MSC: 35B40 35K55 35Q40 82D55 53C44 PDFBibTeX XMLCite \textit{Z. Liu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 12, 4412--4442 (2008; Zbl 1194.35063) Full Text: DOI
Liu, Zuhan Two-component Bose-Einstein condensates. (English) Zbl 1163.35036 J. Math. Anal. Appl. 348, No. 1, 274-285 (2008). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q55 82B10 28A75 PDFBibTeX XMLCite \textit{Z. Liu}, J. Math. Anal. Appl. 348, No. 1, 274--285 (2008; Zbl 1163.35036) Full Text: DOI
Lei, Yutian A uniqueness result on the solution for a Landau-Lifshitz system with penalization. (English) Zbl 1149.35310 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 2, 770-780 (2008). MSC: 35B25 35K40 35K50 35Q60 PDFBibTeX XMLCite \textit{Y. Lei}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 2, 770--780 (2008; Zbl 1149.35310) Full Text: DOI
Liu, Zuhan Vortex-lines motion for the Ginzburg-Landau equation with impurity. (English) Zbl 1139.35022 Sci. China, Ser. A 50, No. 12, 1705-1734 (2007). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35B40 35K55 35Q40 PDFBibTeX XMLCite \textit{Z. Liu}, Sci. China, Ser. A 50, No. 12, 1705--1734 (2007; Zbl 1139.35022) Full Text: DOI
Bethuel, F.; Orlandi, G.; Smets, D. Dynamics of multiple degree Ginzburg-Landau vortices. (English) Zbl 1135.35014 Commun. Math. Phys. 272, No. 1, 229-261 (2007). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35B25 58E50 35K55 PDFBibTeX XMLCite \textit{F. Bethuel} et al., Commun. Math. Phys. 272, No. 1, 229--261 (2007; Zbl 1135.35014) Full Text: DOI
Bethuel, F.; Orlandi, Giandomenico; Smets, Didier Improved estimates for the Ginzburg-Landau equation: the elliptic case. (English) Zbl 1121.35052 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 2, 319-355 (2005). Reviewer: Giuseppe Di Fazio (Catania) MSC: 35J60 35B35 35B45 35J20 46E35 47J30 58E50 PDFBibTeX XMLCite \textit{F. Bethuel} et al., Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 4, No. 2, 319--355 (2005; Zbl 1121.35052) Full Text: EuDML
Emerton, Matthew \(p\)-adic \(L\)-functions and unitary completions of representations of \(p\)-adic reductive groups. (English) Zbl 1092.11024 Duke Math. J. 130, No. 2, 353-392 (2005). Reviewer: J. G. M. Mars (Utrecht) MSC: 11F67 11F70 11F85 46S10 PDFBibTeX XMLCite \textit{M. Emerton}, Duke Math. J. 130, No. 2, 353--392 (2005; Zbl 1092.11024) Full Text: Euclid
Bethuel, F.; Orlandi, G.; Smets, D. Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics. (English) Zbl 1087.35008 Duke Math. J. 130, No. 3, 523-614 (2005). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35B25 35K55 35B05 PDFBibTeX XMLCite \textit{F. Bethuel} et al., Duke Math. J. 130, No. 3, 523--614 (2005; Zbl 1087.35008) Full Text: DOI