Jerrard, R. L.; Smets, D. Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation. (English) Zbl 1472.35358 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 127, 34 p. (2021). MSC: 35Q55 35Q31 35B40 76D17 PDFBibTeX XMLCite \textit{R. L. Jerrard} and \textit{D. Smets}, Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 127, 34 p. (2021; Zbl 1472.35358) Full Text: DOI arXiv
Ignat, R.; Jerrard, R. L. Renormalized energy between vortices in some Ginzburg-Landau models on 2-dimensional Riemannian manifolds. (English) Zbl 1462.35375 Arch. Ration. Mech. Anal. 239, No. 3, 1577-1666 (2021). MSC: 35Q56 35B25 35R01 PDFBibTeX XMLCite \textit{R. Ignat} and \textit{R. L. Jerrard}, Arch. Ration. Mech. Anal. 239, No. 3, 1577--1666 (2021; Zbl 1462.35375) Full Text: DOI arXiv
Jerrard, Robert L.; Smets, Didier Leapfrogging vortex rings for the three dimensional Gross-Pitaevskii equation. (English) Zbl 1406.35252 Ann. PDE 4, No. 1, Paper No. 4, 48 p. (2018). MSC: 35Q31 35Q55 35B07 PDFBibTeX XMLCite \textit{R. L. Jerrard} and \textit{D. Smets}, Ann. PDE 4, No. 1, Paper No. 4, 48 p. (2018; Zbl 1406.35252) Full Text: DOI arXiv
Contreras, Andres; Jerrard, Robert L. Nearly parallel vortex filaments in the 3D Ginzburg-Landau equations. (English) Zbl 1391.35367 Geom. Funct. Anal. 27, No. 5, 1161-1230 (2017). Reviewer: Marin I. Marin (Braşov) MSC: 35Q74 35R35 35M33 35J87 74F15 74K20 35Q56 PDFBibTeX XMLCite \textit{A. Contreras} and \textit{R. L. Jerrard}, Geom. Funct. Anal. 27, No. 5, 1161--1230 (2017; Zbl 1391.35367) Full Text: DOI arXiv
Ignat, Radu; Jerrard, Robert L. Interaction energy between vortices of vector fields on Riemannian surfaces. (Énergie d’interaction entre les tourbillons des champs de vecteurs sur une surface riemannienne.) (English. Abridged French version) Zbl 1368.35255 C. R., Math., Acad. Sci. Paris 355, No. 5, 515-521 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q56 30F30 57R25 PDFBibTeX XMLCite \textit{R. Ignat} and \textit{R. L. Jerrard}, C. R., Math., Acad. Sci. Paris 355, No. 5, 515--521 (2017; Zbl 1368.35255) Full Text: DOI arXiv
Czubak, Magdalena; Jerrard, Robert L. Topological defects in the abelian Higgs model. (English) Zbl 1310.35169 Discrete Contin. Dyn. Syst. 35, No. 5, 1933-1968 (2015). MSC: 35L70 49Q05 35Q85 35B40 81T13 PDFBibTeX XMLCite \textit{M. Czubak} and \textit{R. L. Jerrard}, Discrete Contin. Dyn. Syst. 35, No. 5, 1933--1968 (2015; Zbl 1310.35169) Full Text: DOI arXiv
Baldo, S.; Jerrard, R. L.; Orlandi, G.; Soner, H. M. Vortex density models for superconductivity and superfluidity. (English) Zbl 1269.82070 Commun. Math. Phys. 318, No. 1, 131-171 (2013). Reviewer: I. A. Parinov (Rostov-na-Donu) MSC: 82D50 82D55 35Q56 82B27 PDFBibTeX XMLCite \textit{S. Baldo} et al., Commun. Math. Phys. 318, No. 1, 131--171 (2013; Zbl 1269.82070) Full Text: DOI arXiv
Baldo, S.; Jerrard, R. L.; Orlandi, G.; Soner, H. M. Convergence of Ginzburg-Landau functionals in three-dimensional superconductivity. (English) Zbl 1255.35201 Arch. Ration. Mech. Anal. 205, No. 3, 699-752 (2012). MSC: 35Q56 82D55 PDFBibTeX XMLCite \textit{S. Baldo} et al., Arch. Ration. Mech. Anal. 205, No. 3, 699--752 (2012; Zbl 1255.35201) Full Text: DOI arXiv
Aftalion, Amandine; Jerrard, Robert L.; Royo-Letelier, Jimena Non-existence of vortices in the small density region of a condensate. (English) Zbl 1220.82006 J. Funct. Anal. 260, No. 8, 2387-2406 (2011). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82B10 PDFBibTeX XMLCite \textit{A. Aftalion} et al., J. Funct. Anal. 260, No. 8, 2387--2406 (2011; Zbl 1220.82006) Full Text: DOI arXiv
Jerrard, Robert L.; Sternberg, Peter Critical points via \(\Gamma \)-convergence: general theory and applications. (English) Zbl 1171.49011 J. Eur. Math. Soc. (JEMS) 11, No. 4, 705-753 (2009). MSC: 49J45 49J35 49Q20 PDFBibTeX XMLCite \textit{R. L. Jerrard} and \textit{P. Sternberg}, J. Eur. Math. Soc. (JEMS) 11, No. 4, 705--753 (2009; Zbl 1171.49011) Full Text: DOI Link
Jerrard, Robert Leon; Spirn, Daniel Refined Jacobian estimates and Gross-Pitaevsky vortex dynamics. (English) Zbl 1155.76010 Arch. Ration. Mech. Anal. 190, No. 3, 425-475 (2008). MSC: 76A25 35Q35 PDFBibTeX XMLCite \textit{R. L. Jerrard} and \textit{D. Spirn}, Arch. Ration. Mech. Anal. 190, No. 3, 425--475 (2008; Zbl 1155.76010) Full Text: DOI
Bethuel, Fabrice; Jerrard, Robert L.; Smets, Didier On the NLS dynamics for infinite energy vortex configurations on the plane. (English) Zbl 1180.35045 Rev. Mat. Iberoam. 24, No. 2, 671-702 (2008). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35B20 35B40 35Q55 82D50 PDFBibTeX XMLCite \textit{F. Bethuel} et al., Rev. Mat. Iberoam. 24, No. 2, 671--702 (2008; Zbl 1180.35045) Full Text: DOI Euclid EuDML
Jerrard, Robert L. Local minimizers with vortex filaments for a Gross-Pitaevsky functional. (English) Zbl 1111.35077 ESAIM, Control Optim. Calc. Var. 13, No. 1, 35-71 (2007). MSC: 35Q55 49Q20 35B25 82D50 PDFBibTeX XMLCite \textit{R. L. Jerrard}, ESAIM, Control Optim. Calc. Var. 13, No. 1, 35--71 (2007; Zbl 1111.35077) Full Text: DOI Numdam EuDML
Jerrard, Robert; Montero, Alberto; Sternberg, Peter Local minimizers of the Ginzburg-Landau energy with magnetic field in three dimensions. (English) Zbl 1065.58012 Commun. Math. Phys. 249, No. 3, 549-577 (2004). MSC: 58E50 35J50 35B25 35J60 35Q60 49J45 82D55 PDFBibTeX XMLCite \textit{R. Jerrard} et al., Commun. Math. Phys. 249, No. 3, 549--577 (2004; Zbl 1065.58012) Full Text: DOI
Jerrard, Robert L.; Soner, Halil Mete Limiting behavior of the Ginzburg-Landau functional. (English) Zbl 1028.49015 J. Funct. Anal. 192, No. 2, 524-561 (2002). Reviewer: M.Fuchs (Saarbrücken) MSC: 49J45 PDFBibTeX XMLCite \textit{R. L. Jerrard} and \textit{H. M. Soner}, J. Funct. Anal. 192, No. 2, 524--561 (2002; Zbl 1028.49015) Full Text: DOI
Jerrard, Robert L.; Soner, Halil Mete Scaling limits and regularity results for a class of Ginzburg-Landau systems. (English) Zbl 0944.35006 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 16, No. 4, 423-466 (1999). Reviewer: L.Ambrosio (Pisa) MSC: 35B25 35K55 35B65 PDFBibTeX XMLCite \textit{R. L. Jerrard} and \textit{H. M. Soner}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 16, No. 4, 423--466 (1999; Zbl 0944.35006) Full Text: DOI Numdam EuDML
Colliander, J. E.; Jerrard, R. L. Ginzburg-Landau vortices: Weak stability and Schrödinger equation dynamics. (English) Zbl 0933.35155 J. Anal. Math. 77, 129-205 (1999). Reviewer: A.Carabineanu (Bucureşti) MSC: 35Q35 76B47 35B40 PDFBibTeX XMLCite \textit{J. E. Colliander} and \textit{R. L. Jerrard}, J. Anal. Math. 77, 129--205 (1999; Zbl 0933.35155) Full Text: DOI