Chen, Haifan; Dong, Guozhi; Liu, Wei; Xie, Ziqing Second-order flows for computing the ground states of rotating Bose-Einstein condensates. (English) Zbl 07649290 J. Comput. Phys. 475, Article ID 111872, 28 p. (2023). MSC: 35Qxx 65Mxx 82Cxx PDF BibTeX XML Cite \textit{H. Chen} et al., J. Comput. Phys. 475, Article ID 111872, 28 p. (2023; Zbl 07649290) Full Text: DOI arXiv OpenURL
Aftalion, Amandine; Sandier, Etienne Solitons and solitonic vortices in a strip. (English) Zbl 07649226 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 228, Article ID 113184, 12 p. (2023). MSC: 35Q51 35B40 35R09 78A60 35A01 49K20 PDF BibTeX XML Cite \textit{A. Aftalion} and \textit{E. Sandier}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 228, Article ID 113184, 12 p. (2023; Zbl 07649226) Full Text: DOI arXiv OpenURL
Foresti, Matteo; Ricca, Renzo L. Instability of a quantum vortex by twist perturbation. (English) Zbl 07647826 J. Fluid Mech. 949, Paper No. A19, 14 p. (2022). MSC: 76Y05 76E99 81V99 PDF BibTeX XML Cite \textit{M. Foresti} and \textit{R. L. Ricca}, J. Fluid Mech. 949, Paper No. A19, 14 p. (2022; Zbl 07647826) Full Text: DOI OpenURL
Nguyen, Dinh-Thi; Rougerie, Nicolas Thomas-Fermi profile of a fast rotating Bose-Einstein condensate. (English) Zbl 07632788 Pure Appl. Anal. 4, No. 3, 535-569 (2022). MSC: 35Q40 35Q55 82C10 46N50 81S05 81V70 81V73 81V55 PDF BibTeX XML Cite \textit{D.-T. Nguyen} and \textit{N. Rougerie}, Pure Appl. Anal. 4, No. 3, 535--569 (2022; Zbl 07632788) Full Text: DOI arXiv OpenURL
Altmann, Robert; Peterseim, Daniel; Stykel, Tatjana Energy-adaptive Riemannian optimization on the Stiefel manifold. (English) Zbl 1502.65177 ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1629-1653 (2022). MSC: 65N25 65K10 82M36 49M41 65N12 35B38 81Q10 35Q55 PDF BibTeX XML Cite \textit{R. Altmann} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 5, 1629--1653 (2022; Zbl 1502.65177) Full Text: DOI arXiv OpenURL
Chen, Xuwen; Shen, Shunlin; Zhang, Zhifei The unconditional uniqueness for the energy-supercritical NLS. (English) Zbl 1492.35301 Ann. PDE 8, No. 2, Paper No. 14, 82 p. (2022). MSC: 35Q55 35A02 81V70 PDF BibTeX XML Cite \textit{X. Chen} et al., Ann. PDE 8, No. 2, Paper No. 14, 82 p. (2022; Zbl 1492.35301) Full Text: DOI arXiv OpenURL
Guo, Qing; Tian, Shuying; Zhou, Yang Curve-like concentration for Bose-Einstein condensates. (English) Zbl 1485.35233 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 63, 20 p. (2022). MSC: 35J91 35J05 35J20 PDF BibTeX XML Cite \textit{Q. Guo} et al., Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 63, 20 p. (2022; Zbl 1485.35233) Full Text: DOI OpenURL
Dinh, Van Duong; Forcella, Luigi; Hajaiej, Hichem Mass-energy threshold dynamics for dipolar quantum gases. (English) Zbl 1479.35775 Commun. Math. Sci. 20, No. 1, 165-200 (2022). MSC: 35Q55 35B40 35B44 82C10 PDF BibTeX XML Cite \textit{V. D. Dinh} et al., Commun. Math. Sci. 20, No. 1, 165--200 (2022; Zbl 1479.35775) Full Text: DOI arXiv OpenURL
Serna-Reyes, Adán J.; Macías-Díaz, J. E. Theoretical analysis of a conservative finite-difference scheme to solve a Riesz space-fractional Gross-Pitaevskii system. (English) Zbl 1486.65129 J. Comput. Appl. Math. 404, Article ID 113413, 17 p. (2022). MSC: 65M06 65M12 26A33 35R11 35Q55 PDF BibTeX XML Cite \textit{A. J. Serna-Reyes} and \textit{J. E. Macías-Díaz}, J. Comput. Appl. Math. 404, Article ID 113413, 17 p. (2022; Zbl 1486.65129) Full Text: DOI OpenURL
Wang, Lan; Cai, Wenjun; Wang, Yushun An energy-preserving scheme for the coupled Gross-Pitaevskii equations. (English) Zbl 1488.65294 Adv. Appl. Math. Mech. 13, No. 1, 203-231 (2021). MSC: 65M06 65M12 65Z05 65N06 35Q55 PDF BibTeX XML Cite \textit{L. Wang} et al., Adv. Appl. Math. Mech. 13, No. 1, 203--231 (2021; Zbl 1488.65294) Full Text: DOI OpenURL
Luo, Peng; Peng, Shuangjie; Wei, Juncheng; Yan, Shusen Excited states of Bose-Einstein condensates with degenerate attractive interactions. (English) Zbl 1477.35244 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 155, 33 p. (2021). MSC: 35Q55 82B10 35B25 49M41 PDF BibTeX XML Cite \textit{P. Luo} et al., Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 155, 33 p. (2021; Zbl 1477.35244) Full Text: DOI arXiv OpenURL
Besse, Christophe; Descombes, Stéphane; Dujardin, Guillaume; Lacroix-Violet, Ingrid Energy-preserving methods for nonlinear Schrödinger equations. (English) Zbl 1460.65099 IMA J. Numer. Anal. 41, No. 1, 618-653 (2021). MSC: 65M06 65M12 35Q55 35Q41 65F10 PDF BibTeX XML Cite \textit{C. Besse} et al., IMA J. Numer. Anal. 41, No. 1, 618--653 (2021; Zbl 1460.65099) Full Text: DOI arXiv OpenURL
Tian, Tonghua; Cai, Yongyong; Wu, Xinming; Wen, Zaiwen Ground states of spin-\(F\) Bose-Einstein condensates. (English) Zbl 1452.35195 SIAM J. Sci. Comput. 42, No. 4, B983-B1013 (2020). MSC: 35Q55 35A01 81Q99 65M70 65K10 65M55 82C10 PDF BibTeX XML Cite \textit{T. Tian} et al., SIAM J. Sci. Comput. 42, No. 4, B983--B1013 (2020; Zbl 1452.35195) Full Text: DOI arXiv OpenURL
Guo, Yujin; Luo, Yong; Yang, Wen The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions. (English) Zbl 1451.82005 Arch. Ration. Mech. Anal. 238, No. 3, 1231-1281 (2020). MSC: 82B10 35Q55 35J20 35J60 49J10 81Q80 PDF BibTeX XML Cite \textit{Y. Guo} et al., Arch. Ration. Mech. Anal. 238, No. 3, 1231--1281 (2020; Zbl 1451.82005) Full Text: DOI arXiv OpenURL
Matos, Tonatiuh; Avilez, Ana; Bernal, Tula; Chavanis, Pierre-Henri Energy balance of a Bose gas in a curved space-time. (English) Zbl 1437.83017 Gen. Relativ. Gravitation 51, No. 12, Paper No. 159, 23 p. (2019). MSC: 83C05 83B05 83D05 85A15 81Q05 83C56 83C47 PDF BibTeX XML Cite \textit{T. Matos} et al., Gen. Relativ. Gravitation 51, No. 12, Paper No. 159, 23 p. (2019; Zbl 1437.83017) Full Text: DOI arXiv OpenURL
Wang, Tingchun; Guo, Boling Unconditional convergence of linearized implicit finite difference method for the 2D/3D Gross-Pitaevskii equation with angular momentum rotation. (English) Zbl 1426.65132 Sci. China, Math. 62, No. 9, 1669-1686 (2019). MSC: 65M06 65M12 65M15 35Q55 PDF BibTeX XML Cite \textit{T. Wang} and \textit{B. Guo}, Sci. China, Math. 62, No. 9, 1669--1686 (2019; Zbl 1426.65132) Full Text: DOI OpenURL
Deuchert, Andreas; Seiringer, Robert; Yngvason, Jakob Bose-Einstein condensation in a dilute, trapped gas at positive temperature. (English) Zbl 1435.81061 Commun. Math. Phys. 368, No. 2, 723-776 (2019). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 81P73 82D05 81S05 82B30 78A37 82C22 82C26 81Q15 35Q53 PDF BibTeX XML Cite \textit{A. Deuchert} et al., Commun. Math. Phys. 368, No. 2, 723--776 (2019; Zbl 1435.81061) Full Text: DOI arXiv OpenURL
Li, Shuai; Yan, Jingjing; Zhu, Xincai Constraint minimizers of perturbed Gross-Pitaevskii energy functionals in \(\mathbb{R}^N\). (English) Zbl 1401.35054 Commun. Pure Appl. Anal. 18, No. 1, 65-81 (2019). MSC: 35J20 35J60 PDF BibTeX XML Cite \textit{S. Li} et al., Commun. Pure Appl. Anal. 18, No. 1, 65--81 (2019; Zbl 1401.35054) Full Text: DOI OpenURL
Sriburadet, Sirilak; Jeng, B.-W.; Chien, C.-S. Efficient continuation methods for spin-1 Bose-Einstein condensates in a magnetic field. (English) Zbl 1499.65704 Int. J. Comput. Math. 95, No. 5, 898-919 (2018). MSC: 65N35 35P30 35Q55 82C10 82D40 PDF BibTeX XML Cite \textit{S. Sriburadet} et al., Int. J. Comput. Math. 95, No. 5, 898--919 (2018; Zbl 1499.65704) Full Text: DOI OpenURL
Bao, Weizhu; Ruan, Xinran Fundamental gaps of the Gross-Pitaevskii equation with repulsive interaction. (English) Zbl 1417.35175 Asymptotic Anal. 110, No. 1-2, 53-82 (2018). MSC: 35Q55 35B40 35P30 PDF BibTeX XML Cite \textit{W. Bao} and \textit{X. Ruan}, Asymptotic Anal. 110, No. 1--2, 53--82 (2018; Zbl 1417.35175) Full Text: DOI arXiv OpenURL
Basti, Giulia; Cenatiempo, Serena; Teta, Alessandro Universal low-energy behavior in a quantum Lorentz gas with Gross-Pitaevskii potentials. (English) Zbl 1396.81209 Math. Phys. Anal. Geom. 21, No. 2, Paper No. 11, 25 p. (2018). MSC: 81U10 81Q05 81V35 82C10 82D75 PDF BibTeX XML Cite \textit{G. Basti} et al., Math. Phys. Anal. Geom. 21, No. 2, Paper No. 11, 25 p. (2018; Zbl 1396.81209) Full Text: DOI arXiv OpenURL
Deng, Yinbin; Guo, Yujin; Lu, Lu Threshold behavior and uniqueness of ground states for mass critical inhomogeneous Schrödinger equations. (English) Zbl 1383.35208 J. Math. Phys. 59, No. 1, 011503, 21 p. (2018). MSC: 35Q55 35P30 81Q05 78A50 81Q37 82D77 35A02 PDF BibTeX XML Cite \textit{Y. Deng} et al., J. Math. Phys. 59, No. 1, 011503, 21 p. (2018; Zbl 1383.35208) Full Text: DOI OpenURL
Qian, Xu; Fu, Hao; Song, Songhe Conservative modified Crank-Nicolson and time-splitting wavelet methods for modeling Bose-Einstein condensates in delta potentials. (English) Zbl 1411.76114 Appl. Math. Comput. 307, 1-16 (2017). MSC: 76M22 65M70 65M15 65T60 76Y05 PDF BibTeX XML Cite \textit{X. Qian} et al., Appl. Math. Comput. 307, 1--16 (2017; Zbl 1411.76114) Full Text: DOI OpenURL
Kevrekidis, P. G.; Pelinovsky, D. E. On the characterization of vortex configurations in the steady rotating Bose-Einstein condensates. (English) Zbl 1404.82035 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2208, Article ID 20170602, 17 p. (2017). MSC: 82C10 35Q82 35Q55 35B25 PDF BibTeX XML Cite \textit{P. G. Kevrekidis} and \textit{D. E. Pelinovsky}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 473, No. 2208, Article ID 20170602, 17 p. (2017; Zbl 1404.82035) Full Text: DOI arXiv OpenURL
Wu, Xinming; Wen, Zaiwen; Bao, Weizhu A regularized Newton method for computing ground states of Bose-Einstein condensates. (English) Zbl 1433.82025 J. Sci. Comput. 73, No. 1, 303-329 (2017). MSC: 82M20 82M22 65N25 65N35 90C53 65K10 PDF BibTeX XML Cite \textit{X. Wu} et al., J. Sci. Comput. 73, No. 1, 303--329 (2017; Zbl 1433.82025) Full Text: DOI arXiv OpenURL
Wang, Qingxuan; Zhao, Dun Existence and mass concentration of 2D attractive Bose-Einstein condensates with periodic potentials. (English) Zbl 1378.35098 J. Differ. Equations 262, No. 3, 2684-2704 (2017). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 35J20 74G65 PDF BibTeX XML Cite \textit{Q. Wang} and \textit{D. Zhao}, J. Differ. Equations 262, No. 3, 2684--2704 (2017; Zbl 1378.35098) Full Text: DOI OpenURL
Kwang-Hua, Chu Rainer Formation of weakly bound molecular complexes: \((^3\mathrm{He})_2\). (English) Zbl 1351.92057 J. Math. Chem. 54, No. 1, 100-108 (2016). MSC: 92E10 PDF BibTeX XML Cite \textit{C. R. Kwang-Hua}, J. Math. Chem. 54, No. 1, 100--108 (2016; Zbl 1351.92057) Full Text: DOI OpenURL
Aftalion, Amandine; Noris, Benedetta; Sourdis, Christos Thomas-Fermi approximation for coexisting two component Bose-Einstein condensates and nonexistence of vortices for small rotation. (English) Zbl 1325.49004 Commun. Math. Phys. 336, No. 2, 509-579 (2015). MSC: 49J20 49K20 49J45 PDF BibTeX XML Cite \textit{A. Aftalion} et al., Commun. Math. Phys. 336, No. 2, 509--579 (2015; Zbl 1325.49004) Full Text: DOI arXiv OpenURL
Alama, Stan; Bronsard, Lia; Contreras, Andres; Pelinovsky, Dmitry E. Domain walls in the coupled Gross-Pitaevskii equations. (English) Zbl 1308.35261 Arch. Ration. Mech. Anal. 215, No. 2, 579-610 (2015). MSC: 35Q55 82B10 35A15 35B35 PDF BibTeX XML Cite \textit{S. Alama} et al., Arch. Ration. Mech. Anal. 215, No. 2, 579--610 (2015; Zbl 1308.35261) Full Text: DOI arXiv OpenURL
Mohammadi, Reza An exponential spline solution of nonlinear Schrödinger equations with constant and variable coefficients. (English) Zbl 1360.35251 Comput. Phys. Commun. 185, No. 3, 917-932 (2014). MSC: 35Q55 65M06 65D07 65M12 PDF BibTeX XML Cite \textit{R. Mohammadi}, Comput. Phys. Commun. 185, No. 3, 917--932 (2014; Zbl 1360.35251) Full Text: DOI OpenURL
Chen, Thomas; Pavlović, Nataša Higher order energy conservation and global well-posedness of solutions for Gross-Pitaevskii hierarchies. (English) Zbl 1301.35146 Commun. Partial Differ. Equations 39, No. 9, 1597-1634 (2014). MSC: 35Q55 81V70 35B45 37K10 PDF BibTeX XML Cite \textit{T. Chen} and \textit{N. Pavlović}, Commun. Partial Differ. Equations 39, No. 9, 1597--1634 (2014; Zbl 1301.35146) Full Text: DOI arXiv OpenURL
Royo-Letelier, Jimena Segregation and symmetry breaking of strongly coupled two-component Bose-Einstein condensates in a harmonic trap. (English) Zbl 1283.35101 Calc. Var. Partial Differ. Equ. 49, No. 1-2, 103-124 (2014). MSC: 35Q40 35R35 49J40 35J60 81R40 PDF BibTeX XML Cite \textit{J. Royo-Letelier}, Calc. Var. Partial Differ. Equ. 49, No. 1--2, 103--124 (2014; Zbl 1283.35101) Full Text: DOI arXiv OpenURL
Montero, José Alberto; Stephens, Benjamin K. On the geometry of Gross-pitaevski vortex curves for generic data. (English) Zbl 1275.49037 Proc. Am. Math. Soc. 141, No. 11, 3871-3881 (2013). Reviewer: Tamaz Tadumadze (Tbilisi) MSC: 49K15 49J45 49Q20 PDF BibTeX XML Cite \textit{J. A. Montero} and \textit{B. K. Stephens}, Proc. Am. Math. Soc. 141, No. 11, 3871--3881 (2013; Zbl 1275.49037) Full Text: DOI OpenURL
Mariş, Mihai Traveling waves for nonlinear Schrödinger equations with nonzero conditions at infinity. (English) Zbl 1315.35207 Ann. Math. (2) 178, No. 1, 107-182 (2013). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q55 35C07 PDF BibTeX XML Cite \textit{M. Mariş}, Ann. Math. (2) 178, No. 1, 107--182 (2013; Zbl 1315.35207) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \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 OpenURL
Rougerie, Nicolas The giant vortex state for a Bose-Einstein condensate in a rotating anharmonic trap: extreme rotation regimes. (English) Zbl 1228.35250 J. Math. Pures Appl. (9) 95, No. 3, 296-347 (2011). MSC: 35Q82 35Q40 81V70 82D50 82B10 PDF BibTeX XML Cite \textit{N. Rougerie}, J. Math. Pures Appl. (9) 95, No. 3, 296--347 (2011; Zbl 1228.35250) Full Text: DOI arXiv OpenURL
Kazemi, Parimah; Eckart, Michael Minimizing the Gross-Pitaevskii energy functional with the Sobolev gradient – analytical and numerical results. (English) Zbl 1267.81294 Int. J. Comput. Methods 7, No. 3 (2010). MSC: 81V15 81-08 PDF BibTeX XML Full Text: DOI arXiv OpenURL
Aftalion, Amandine; Blanc, Xavier; Lerner, Nicolas Fast rotating Bose-Einstein condensates in an asymmetric trap. (English) Zbl 1180.82118 J. Funct. Anal. 257, No. 3, 753-806 (2009). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C10 81R05 14H42 51A50 53D20 76M23 PDF BibTeX XML Cite \textit{A. Aftalion} et al., J. Funct. Anal. 257, No. 3, 753--806 (2009; Zbl 1180.82118) Full Text: DOI arXiv OpenURL
de Laire, André Non-existence for travelling waves with small energy for the Gross-Pitaevskii equation in dimension \(N \geqslant 3\). (English. Abridged French version) Zbl 1165.35047 C. R., Math., Acad. Sci. Paris 347, No. 7-8, 375-380 (2009). MSC: 35Q53 35C05 35B45 PDF BibTeX XML Cite \textit{A. de Laire}, C. R., Math., Acad. Sci. Paris 347, No. 7--8, 375--380 (2009; Zbl 1165.35047) Full Text: DOI OpenURL
Li, Guan-Qiang; Peng, Ping; Liu, Jian-Ke; Xue, Ju-Kui Collective excitations and nonlinear dynamics of 1D BEC with two- and three-body interactions in anharmonic traps. (English) Zbl 1392.82029 Commun. Theor. Phys. 50, No. 5, 1129-1136 (2008). MSC: 82C10 82D05 35Q82 PDF BibTeX XML Cite \textit{G.-Q. Li} et al., Commun. Theor. Phys. 50, No. 5, 1129--1136 (2008; Zbl 1392.82029) Full Text: DOI OpenURL
Reinisch, Gilbert Radial action-phase quantization in Bose-Einstein condensates. (English) Zbl 1217.81067 Phys. Lett., A 372, No. 6, 769-774 (2008). MSC: 81Q05 35Q55 81S05 70H20 PDF BibTeX XML Cite \textit{G. Reinisch}, Phys. Lett., A 372, No. 6, 769--774 (2008; Zbl 1217.81067) Full Text: DOI OpenURL
Gérard, Patrick The Gross-Pitaevskii equation in the energy space. (English) Zbl 1166.35373 Farina, Alberto (ed.) et al., Stationary and time dependent Gross-Pitaevskii equations. Wolfgang Pauli Institute 2006 thematic program, January–December, 2006, Vienna, Austria. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4357-4/pbk). Contemporary Mathematics 473, 129-148 (2008). MSC: 35Q55 35Q40 35B45 37K35 PDF BibTeX XML Cite \textit{P. Gérard}, Contemp. Math. 473, 129--148 (2008; Zbl 1166.35373) OpenURL
Montero, José Alberto Hodge decomposition with degenerate weights and the Gross-Pitaevskii energy. (English) Zbl 1149.35028 J. Funct. Anal. 254, No. 7, 1926-1973 (2008). Reviewer: Agostino Prástaro (Roma) MSC: 35J25 58A14 35J20 PDF BibTeX XML Cite \textit{J. A. Montero}, J. Funct. Anal. 254, No. 7, 1926--1973 (2008; Zbl 1149.35028) Full Text: DOI OpenURL
Alama, Stan; Bronsard, Lia; Montero, J. Alberto Vortices for a rotating toroidal Bose-Einstein condensate. (English) Zbl 1139.82002 Arch. Ration. Mech. Anal. 187, No. 3, 481-522 (2008). MSC: 82B10 PDF BibTeX XML Cite \textit{S. Alama} et al., Arch. Ration. Mech. Anal. 187, No. 3, 481--522 (2008; Zbl 1139.82002) Full Text: DOI OpenURL
Aftalion, Amandine; Blanc, Xavier Reduced energy functionals for a three-dimensional fast rotating Bose Einstein condensates. (English) Zbl 1202.82010 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 2, 339-355 (2008). MSC: 82B10 35Q40 PDF BibTeX XML Cite \textit{A. Aftalion} and \textit{X. Blanc}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 25, No. 2, 339--355 (2008; Zbl 1202.82010) Full Text: DOI EuDML OpenURL
Aftalion, Amandine Vortex patterns in Bose Einstein condensates. (English) Zbl 1200.82036 Berestycki, Henri (ed.) et al., Perspectives in nonlinear partial differential equations in honor of Haïm Brezis. Based on the conference celebration of Haïm Brezis’ 60th birthday, June 21–25, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4190-7/pbk). Contemporary Mathematics 446, 1-18 (2007). Reviewer: Ivan A. Parinov (Rostov-na-Donu) MSC: 82C10 35J20 35Q40 35Q55 81V45 PDF BibTeX XML Cite \textit{A. Aftalion}, Contemp. Math. 446, 1--18 (2007; Zbl 1200.82036) OpenURL
Bethuel, Fabrice; Smets, Didier A remark on the Cauchy problem for the 2D Gross-Pitaevskii equation with nonzero degree at infinity. (English) Zbl 1212.35376 Differ. Integral Equ. 20, No. 3, 325-338 (2007). MSC: 35Q40 35Q55 35A01 PDF BibTeX XML Cite \textit{F. Bethuel} and \textit{D. Smets}, Differ. Integral Equ. 20, No. 3, 325--338 (2007; Zbl 1212.35376) OpenURL
Bao, Weizhu; Wang, Hanquan A mass and magnetization conservative and energy-diminishing numerical method for computing ground state of spin-1 Bose-Einstein condensates. (English) Zbl 1149.82018 SIAM J. Numer. Anal. 45, No. 5, 2177-2200 (2007). MSC: 82C10 35Q55 65M06 65Z05 82D40 82C80 PDF BibTeX XML Cite \textit{W. Bao} and \textit{H. Wang}, SIAM J. Numer. Anal. 45, No. 5, 2177--2200 (2007; Zbl 1149.82018) Full Text: DOI OpenURL
Bao, Weizhu; Lim, Fong Yin; Zhang, Yanzhi Energy and chemical potential asymptotics for the ground state of Bose-Einstein condensates in the semiclassical regime. (English) Zbl 1132.82003 Bull. Inst. Math., Acad. Sin. (N.S.) 2, No. 2, 495-532 (2007). MSC: 82B10 81Q20 PDF BibTeX XML Cite \textit{W. Bao} et al., Bull. Inst. Math., Acad. Sin. (N.S.) 2, No. 2, 495--532 (2007; Zbl 1132.82003) OpenURL
Aftalion, Amandine On the energy of a Bose-Einstein condensate in an optical lattice. (English) Zbl 1119.35081 Rev. Math. Phys. 19, No. 4, 371-384 (2007). MSC: 35Q55 78A60 82D50 PDF BibTeX XML Cite \textit{A. Aftalion}, Rev. Math. Phys. 19, No. 4, 371--384 (2007; Zbl 1119.35081) Full Text: DOI OpenURL
Lin, Tai-Chia; Wei, Juncheng Symbiotic bright solitary wave solutions of coupled nonlinear Schrödinger equations. (English) Zbl 1116.35112 Nonlinearity 19, No. 12, 2755-2773 (2006). MSC: 35Q55 81Q05 35B40 35B45 35J40 82B10 PDF BibTeX XML Cite \textit{T.-C. Lin} and \textit{J. Wei}, Nonlinearity 19, No. 12, 2755--2773 (2006; Zbl 1116.35112) Full Text: DOI arXiv OpenURL
Bao, Weizhu; Chern, I-Liang; Lim, Fong Yin Efficient and spectrally accurate numerical methods for computing ground and first excited states in Bose-Einstein condensates. (English) Zbl 1330.82031 J. Comput. Phys. 219, No. 2, 836-854 (2006). MSC: 82C10 82C80 65M70 PDF BibTeX XML Cite \textit{W. Bao} et al., J. Comput. Phys. 219, No. 2, 836--854 (2006; Zbl 1330.82031) Full Text: DOI OpenURL
Adams, Stefan; Bru, Jean-Bernard; König, Wolfgang Large deviations for trapped interacting Brownian particles and paths. (English) Zbl 1105.60021 Ann. Probab. 34, No. 4, 1370-1422 (2006). Reviewer: Farruh Mukhamedov (Aveiro) MSC: 60F10 60J65 82B10 82B26 60K35 PDF BibTeX XML Cite \textit{S. Adams} et al., Ann. Probab. 34, No. 4, 1370--1422 (2006; Zbl 1105.60021) Full Text: DOI arXiv OpenURL
Aftalion, Amandine Some rigorous results for vortex patterns in Bose-Einstein condensates. (English) Zbl 1104.35056 Vázquez, Juan Luis (ed.) et al., Recent trends in partial differential equations. UIMP-RSME Santaló summer school, Santander, Spain, July 12–16, 2004. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (ISBN 0-8218-3891-1/pbk). Contemporary Mathematics 409, 79-93 (2006). MSC: 35Q60 81V80 82D50 PDF BibTeX XML Cite \textit{A. Aftalion}, Contemp. Math. 409, 79--93 (2006; Zbl 1104.35056) OpenURL
Aftalion, Amandine Vortices in Bose-Einstein condensates. (English) Zbl 1129.82004 Progress in Nonlinear Differential Equations and their Applications 67. Boston, MA: Birkhäuser (ISBN 0-8176-4392-3/hbk). xii, 203 p. (2006). Reviewer: Adrian Neagu (Timisoara) MSC: 82-02 82B10 35Q55 35J60 PDF BibTeX XML Cite \textit{A. Aftalion}, Vortices in Bose-Einstein condensates. Boston, MA: Birkhäuser (2006; Zbl 1129.82004) OpenURL
Bao, Weizhu; Du, Qiang; Zhang, Yanzhi Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation. (English) Zbl 1141.35052 SIAM J. Appl. Math. 66, No. 3, 758-786 (2006). MSC: 35Q55 65N35 82C10 PDF BibTeX XML Cite \textit{W. Bao} et al., SIAM J. Appl. Math. 66, No. 3, 758--786 (2006; Zbl 1141.35052) Full Text: DOI Link OpenURL
Ben Abdallah, Naoufel; Méhats, Florian; Schmeiser, Christian; Weishäupl, Rada M. The nonlinear Schrödinger equation with a strongly anisotropic harmonic potential. (English) Zbl 1094.35114 SIAM J. Math. Anal. 37, No. 1, 189-199 (2005). MSC: 35Q55 35B40 81Q05 82D50 PDF BibTeX XML Cite \textit{N. Ben Abdallah} et al., SIAM J. Math. Anal. 37, No. 1, 189--199 (2005; Zbl 1094.35114) Full Text: DOI Link OpenURL
Ignat, Radu; Millot, Vincent Vortices in a 2d rotating Bose–Einstein condensate. (English. Abridged French version) Zbl 1072.35566 C. R., Math., Acad. Sci. Paris 340, No. 8, 571-576 (2005). MSC: 35Q35 76Y05 35A15 PDF BibTeX XML Cite \textit{R. Ignat} and \textit{V. Millot}, C. R., Math., Acad. Sci. Paris 340, No. 8, 571--576 (2005; Zbl 1072.35566) Full Text: DOI OpenURL
Bao, Weizhu Ground states and dynamics of multicomponent Bose-Einstein condensates. (English) Zbl 1062.82034 Multiscale Model. Simul. 2, No. 2, 210-236 (2004). MSC: 82C10 82C80 65M06 PDF BibTeX XML Cite \textit{W. Bao}, Multiscale Model. Simul. 2, No. 2, 210--236 (2004; Zbl 1062.82034) Full Text: DOI arXiv OpenURL
Bao, Weizhu; Du, Qiang Computing the ground state solution of Bose-Einstein condensates by a normalized gradient flow. (English) Zbl 1061.82025 SIAM J. Sci. Comput. 25, No. 5, 1674-1697 (2004). MSC: 82C80 35Q55 65M06 65M70 PDF BibTeX XML Cite \textit{W. Bao} and \textit{Q. Du}, SIAM J. Sci. Comput. 25, No. 5, 1674--1697 (2004; Zbl 1061.82025) Full Text: DOI arXiv OpenURL
Cederbaum, L. S.; Streltsov, A. I. Best mean-field for condensates. (English) Zbl 1098.82572 Phys. Lett., A 318, No. 6, 564-569 (2003). MSC: 82B10 PDF BibTeX XML Cite \textit{L. S. Cederbaum} and \textit{A. I. Streltsov}, Phys. Lett., A 318, No. 6, 564--569 (2003; Zbl 1098.82572) Full Text: DOI arXiv OpenURL
Bao, Weizhu; Tang, Weijun Ground-state solution of Bose–Einstein condensate by directly minimizing the energy functional. (English) Zbl 1028.82500 J. Comput. Phys. 187, No. 1, 230-254 (2003). MSC: 82-08 81-08 81V80 65L60 49K35 82B26 82B10 PDF BibTeX XML Cite \textit{W. Bao} and \textit{W. Tang}, J. Comput. Phys. 187, No. 1, 230--254 (2003; Zbl 1028.82500) Full Text: DOI arXiv OpenURL
Lieb, Elliott H.; Seiringer, Robert; Yngvason, Jakob A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. (English) Zbl 0996.82010 Commun. Math. Phys. 224, No. 1, 17-31 (2001). MSC: 82B10 PDF BibTeX XML Cite \textit{E. H. Lieb} et al., Commun. Math. Phys. 224, No. 1, 17--31 (2001; Zbl 0996.82010) Full Text: DOI arXiv OpenURL
Ovchinnikov, Yu. N.; Sigal, I. M. On the Ginzburg-Landau and related equations. (English) Zbl 1061.35522 Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math., Palaiseau 1997-1998, Exp. No. XXI, 13 p. (1998). MSC: 35Q55 35A15 82D55 78A60 PDF BibTeX XML Cite \textit{Yu. N. Ovchinnikov} and \textit{I. M. Sigal}, Sémin. Équ. Dériv. Partielles, Éc. Polytech., Cent. Math. Laurent Schwartz, Palaiseau 1997--1998, Exp. No. XXI, 13 p. (1998; Zbl 1061.35522) Full Text: Numdam EuDML OpenURL
Abid, M.; Brachet, M. E.; Maurer, J.; Nore, C.; Tabeling, P. Experimental and numerical investigations of low-temperature superfluid turbulence. (English) Zbl 0953.76604 Eur. J. Mech., B, Fluids 17, No. 4, 665-675 (1998). MSC: 76Y05 76-05 76F10 82D50 PDF BibTeX XML Cite \textit{M. Abid} et al., Eur. J. Mech., B, Fluids 17, No. 4, 665--675 (1998; Zbl 0953.76604) Full Text: DOI OpenURL