Gao, Yongshuai; Luo, Yong Mass concentration and uniqueness of ground states for mass subcritical rotational nonlinear Schrödinger equations. (English) Zbl 07668143 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113246, 26 p. (2023). MSC: 35Jxx 35Qxx 35Bxx PDF BibTeX XML Cite \textit{Y. Gao} and \textit{Y. Luo}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 230, Article ID 113246, 26 p. (2023; Zbl 07668143) Full Text: DOI arXiv OpenURL
Guo, Yujin The nonexistence of vortices for rotating Bose-Einstein condensates in non-radially symmetric traps. (English. French summary) Zbl 07643187 J. Math. Pures Appl. (9) 170, 1-32 (2023). MSC: 35J60 35C20 35A15 PDF BibTeX XML Cite \textit{Y. Guo}, J. Math. Pures Appl. (9) 170, 1--32 (2023; Zbl 07643187) Full Text: DOI arXiv OpenURL
Garaud, Julien; Niemi, Antti J. Poincaré index formula and analogy with the Kosterlitz-Thouless transition in a non-rotated cold atom Bose-Einstein condensate. (English) Zbl 07647518 J. High Energy Phys. 2022, No. 9, Paper No. 154, 18 p. (2022). MSC: 81-XX PDF BibTeX XML Cite \textit{J. Garaud} and \textit{A. J. Niemi}, J. High Energy Phys. 2022, No. 9, Paper No. 154, 18 p. (2022; Zbl 07647518) Full Text: DOI arXiv OpenURL
Sigal, I. M. Differential equations of quantum mechanics. (English) Zbl 07593866 Q. Appl. Math. 80, No. 3, 451-480 (2022). Reviewer: Konstantin Merz (Braunschweig) MSC: 35Q40 35Q41 35Q55 35Q56 81Q99 81U24 81V10 82D55 81V73 81V74 PDF BibTeX XML Cite \textit{I. M. Sigal}, Q. Appl. Math. 80, No. 3, 451--480 (2022; Zbl 07593866) Full Text: DOI arXiv OpenURL
Dinh, Van Duong Existence and stability of standing waves for nonlinear Schrödinger equations with a critical rotational speed. (English) Zbl 1492.35304 Lett. Math. Phys. 112, No. 3, Paper No. 53, 36 p. (2022). MSC: 35Q55 35A01 35B35 78A37 82C10 PDF BibTeX XML Cite \textit{V. D. Dinh}, Lett. Math. Phys. 112, No. 3, Paper No. 53, 36 p. (2022; Zbl 1492.35304) Full Text: DOI arXiv OpenURL
Altmann, Robert; Henning, Patrick; Peterseim, Daniel Localization and delocalization of ground states of Bose-Einstein condensates under disorder. (English) Zbl 1502.82009 SIAM J. Appl. Math. 82, No. 1, 330-358 (2022). MSC: 82B44 47J10 PDF BibTeX XML Cite \textit{R. Altmann} et al., SIAM J. Appl. Math. 82, No. 1, 330--358 (2022; Zbl 1502.82009) Full Text: DOI arXiv OpenURL
Hu, Yi; Leonard, Christopher; Zheng, Shijun Universal upper bound on the blowup rate of nonlinear Schrödinger equation with rotation. (English) Zbl 1484.81028 Hirn, Matthew (ed.) et al., Excursions in harmonic analysis, Volume 6. In honor of John Benedetto’s 80th birthday. Cham: Birkhäuser. Appl. Numer. Harmon. Anal., 59-76 (2021). MSC: 81Q05 35Q55 35B44 46E35 PDF BibTeX XML Cite \textit{Y. Hu} et al., in: Excursions in harmonic analysis. Volume 6. In honor of John Benedetto's 80th birthday. Cham: Birkhäuser. 59--76 (2021; Zbl 1484.81028) Full Text: DOI arXiv OpenURL
Henning, Patrick; Niklasson, Anders M. N. Shadow Lagrangian dynamics for superfluidity. (English) Zbl 1476.35239 Kinet. Relat. Models 14, No. 2, 303-321 (2021). MSC: 35Q55 65N30 81Q05 65N12 65Y20 PDF BibTeX XML Cite \textit{P. Henning} and \textit{A. M. N. Niklasson}, Kinet. Relat. Models 14, No. 2, 303--321 (2021; Zbl 1476.35239) Full Text: DOI arXiv OpenURL
Guo, Yujin; Luo, Yong; Peng, Shuangjie Local uniqueness of ground states for rotating Bose-Einstein condensates with attractive interactions. (English) Zbl 1477.35193 Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 237, 27 p. (2021). MSC: 35Q40 35Q55 82B10 46N50 35J20 35A02 PDF BibTeX XML Cite \textit{Y. Guo} et al., Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 237, 27 p. (2021; Zbl 1477.35193) Full Text: DOI arXiv OpenURL
Luo, Xiao; Yang, Tao Multiplicity, asymptotics and stability of standing waves for nonlinear Schrödinger equation with rotation. (English) Zbl 1479.35810 J. Differ. Equations 304, 326-347 (2021). MSC: 35Q55 35A15 35B35 35B40 35B38 35B44 82B10 PDF BibTeX XML Cite \textit{X. Luo} and \textit{T. Yang}, J. Differ. Equations 304, 326--347 (2021; Zbl 1479.35810) Full Text: DOI arXiv OpenURL
Li, Yan; Luo, Yong Existence and uniqueness of ground states for attractive Bose-Einstein condensates in box-shaped traps. (English) Zbl 1461.81148 J. Math. Phys. 62, No. 3, 031513, 21 p. (2021). MSC: 81V73 82B26 78A37 81Q10 49J35 49J20 PDF BibTeX XML Cite \textit{Y. Li} and \textit{Y. Luo}, J. Math. Phys. 62, No. 3, 031513, 21 p. (2021; Zbl 1461.81148) Full Text: DOI OpenURL
Rougerie, Nicolas Scaling limits of bosonic ground states, from many-body to non-linear Schrödinger. (English) Zbl 1472.35319 EMS Surv. Math. Sci. 7, No. 2, 253-408 (2020). Reviewer: Joseph Shomberg (Providence) MSC: 35Q40 35Q55 81V70 81V73 35-02 81-02 PDF BibTeX XML Cite \textit{N. Rougerie}, EMS Surv. Math. Sci. 7, No. 2, 253--408 (2020; Zbl 1472.35319) 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
Henning, Patrick; Peterseim, Daniel Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency. (English) Zbl 07210680 SIAM J. Numer. Anal. 58, No. 3, 1744-1772 (2020). MSC: 35Q55 65N12 65N25 65N30 81Q05 35P30 82B10 PDF BibTeX XML Cite \textit{P. Henning} and \textit{D. Peterseim}, SIAM J. Numer. Anal. 58, No. 3, 1744--1772 (2020; Zbl 07210680) Full Text: DOI arXiv OpenURL
Hurtado, Elard J.; Sônego, Maicon On the energy functionals derived from a non-homogeneous \(p\)-Laplacian equation: \(\Gamma\)-convergence, local minimizers and stable transition layers. (English) Zbl 1433.35151 J. Math. Anal. Appl. 483, No. 2, Article ID 123634, 13 p. (2020). MSC: 35J92 35J40 PDF BibTeX XML Cite \textit{E. J. Hurtado} and \textit{M. Sônego}, J. Math. Anal. Appl. 483, No. 2, Article ID 123634, 13 p. (2020; Zbl 1433.35151) Full Text: DOI OpenURL
Aftalion, Amandine; Sandier, Etienne Vortex patterns and sheets in segregated two component Bose-Einstein condensates. (English) Zbl 1430.49003 Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 19, 38 p. (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 49J10 35B25 35J20 49N60 PDF BibTeX XML Cite \textit{A. Aftalion} and \textit{E. Sandier}, Calc. Var. Partial Differ. Equ. 59, No. 1, Paper No. 19, 38 p. (2020; Zbl 1430.49003) Full Text: DOI arXiv OpenURL
Basharat, Nyla; Hu, Yi; Zheng, Shijun Blowup rate for mass critical rotational nonlinear Schrödinger equations. (English) Zbl 1423.35348 Zheng, Shijun (ed.) et al., Nonlinear dispersive waves and fluids. AMS special sessions on spectral calculus and quasilinear partial differential equations, and PDE analysis on fluid flows, Atlanta, GA, USA, January 5–7, 2017. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 725, 1-12 (2019). MSC: 35Q55 35B44 35P30 PDF BibTeX XML Cite \textit{N. Basharat} et al., Contemp. Math. 725, 1--12 (2019; Zbl 1423.35348) Full Text: DOI arXiv OpenURL
Arbunich, Jack; Nenciu, Irina; Sparber, Christof Stability and instability properties of rotating Bose-Einstein condensates. (English) Zbl 1428.35429 Lett. Math. Phys. 109, No. 6, 1415-1432 (2019). Reviewer: Eric Stachura (Marietta) MSC: 35Q41 35B35 35B07 35Q55 35B34 PDF BibTeX XML Cite \textit{J. Arbunich} et al., Lett. Math. Phys. 109, No. 6, 1415--1432 (2019; Zbl 1428.35429) Full Text: DOI arXiv OpenURL
Wang, Tingchun; Zhao, Xiaofei Unconditional \(L^{\infty }\)-convergence of two compact conservative finite difference schemes for the nonlinear Schrödinger equation in multi-dimensions. (English) Zbl 1404.65103 Calcolo 55, No. 3, Paper No. 34, 26 p. (2018). MSC: 65M06 65M12 35Q55 65M15 PDF BibTeX XML Cite \textit{T. Wang} and \textit{X. Zhao}, Calcolo 55, No. 3, Paper No. 34, 26 p. (2018; Zbl 1404.65103) Full Text: DOI OpenURL
Duerinckx, Mitia; Fischer, Julian Well-posedness for mean-field evolutions arising in superconductivity. (English) Zbl 1393.35230 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 5, 1267-1319 (2018). MSC: 35Q56 35Q35 82D55 35B65 35A02 76B47 PDF BibTeX XML Cite \textit{M. Duerinckx} and \textit{J. Fischer}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 35, No. 5, 1267--1319 (2018; Zbl 1393.35230) Full Text: DOI arXiv OpenURL
Danaila, Ionut; Protas, Bartosz Computation of ground states of the Gross-Pitaevskii functional via Riemannian optimization. (English) Zbl 1378.81174 SIAM J. Sci. Comput. 39, No. 6, B1102-B1129 (2017). MSC: 81V70 35Q55 82D05 82B26 82B28 39A12 65J15 46N40 90C53 90C30 PDF BibTeX XML Cite \textit{I. Danaila} and \textit{B. Protas}, SIAM J. Sci. Comput. 39, No. 6, B1102--B1129 (2017; Zbl 1378.81174) Full Text: DOI arXiv OpenURL
Goldman, M.; Merlet, B. Phase segregation for binary mixtures of Bose-Einstein condensates. (English) Zbl 1375.49017 SIAM J. Math. Anal. 49, No. 3, 1947-1981 (2017). Reviewer: Zhang Xian (Xiamen) MSC: 49J45 35B40 PDF BibTeX XML Cite \textit{M. Goldman} and \textit{B. Merlet}, SIAM J. Math. Anal. 49, No. 3, 1947--1981 (2017; Zbl 1375.49017) Full Text: DOI arXiv OpenURL
Henning, Patrick; Målqvist, Axel The finite element method for the time-dependent Gross-Pitaevskii equation with angular momentum rotation. (English) Zbl 1362.65105 SIAM J. Numer. Anal. 55, No. 2, 923-952 (2017). MSC: 65M60 65M15 35J10 PDF BibTeX XML Cite \textit{P. Henning} and \textit{A. Målqvist}, SIAM J. Numer. Anal. 55, No. 2, 923--952 (2017; Zbl 1362.65105) Full Text: DOI arXiv OpenURL
Vergez, Guillaume; Danaila, Ionut; Auliac, Sylvain; Hecht, Frédéric A finite-element toolbox for the stationary Gross-Pitaevskii equation with rotation. (English) Zbl 1380.65389 Comput. Phys. Commun. 209, 144-162 (2016). MSC: 65N30 65Y15 65Z05 65-04 82B10 PDF BibTeX XML Cite \textit{G. Vergez} et al., Comput. Phys. Commun. 209, 144--162 (2016; Zbl 1380.65389) Full Text: DOI arXiv OpenURL
Cunden, Fabio Deelan; Mezzadri, Francesco; Vivo, Pierpaolo Large deviations of radial statistics in the two-dimensional one-component plasma. (English) Zbl 1364.82062 J. Stat. Phys. 164, No. 5, 1062-1081 (2016). Reviewer: Iván Abonyi (Budapest) MSC: 82D10 82B26 15B52 15B57 60F10 60B20 PDF BibTeX XML Cite \textit{F. D. Cunden} et al., J. Stat. Phys. 164, No. 5, 1062--1081 (2016; Zbl 1364.82062) Full Text: DOI arXiv OpenURL
Gallo, Clément The ground state of two coupled Gross-Pitaevskii equations in the Thomas-Fermi limit. (English. French summary) Zbl 1342.35332 J. Math. Pures Appl. (9) 106, No. 1, 1-75 (2016). MSC: 35Q55 34E05 35E05 35C20 35B09 PDF BibTeX XML Cite \textit{C. Gallo}, J. Math. Pures Appl. (9) 106, No. 1, 1--75 (2016; Zbl 1342.35332) Full Text: DOI arXiv OpenURL
Shieh, Tien-Tsan From gradient theory of phase transition to a generalized minimal interface problem with a contact energy. (English) Zbl 1334.49044 Discrete Contin. Dyn. Syst. 36, No. 5, 2729-2755 (2016). MSC: 49J45 49S05 35J25 35J75 35Q40 PDF BibTeX XML Cite \textit{T.-T. Shieh}, Discrete Contin. Dyn. Syst. 36, No. 5, 2729--2755 (2016; Zbl 1334.49044) Full Text: DOI OpenURL
Lewin, Mathieu; Phan Thành Nam; Rougerie, Nicolas The mean-field approximation and the non-linear Schrödinger functional for trapped Bose gases. (English) Zbl 1392.35245 Trans. Am. Math. Soc. 368, No. 9, 6131-6157 (2016). Reviewer: Alessandro Selvitella (Ottawa) MSC: 35Q40 PDF BibTeX XML Cite \textit{M. Lewin} et al., Trans. Am. Math. Soc. 368, No. 9, 6131--6157 (2016; Zbl 1392.35245) Full Text: DOI arXiv OpenURL
Karali, Georgia; Sourdis, Christos The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit. (English) Zbl 1316.35240 Arch. Ration. Mech. Anal. 217, No. 2, 439-523 (2015). MSC: 35Q35 82D50 82B10 PDF BibTeX XML Cite \textit{G. Karali} and \textit{C. Sourdis}, Arch. Ration. Mech. Anal. 217, No. 2, 439--523 (2015; Zbl 1316.35240) Full Text: DOI arXiv OpenURL
Goldman, M.; Royo-Letelier, J. Sharp interface limit for two components Bose-Einstein condensates. (English) Zbl 1319.35206 ESAIM, Control Optim. Calc. Var. 21, No. 3, 603-624 (2015). MSC: 35Q40 35J50 49S05 49Q20 82B24 35B40 35R09 PDF BibTeX XML Cite \textit{M. Goldman} and \textit{J. Royo-Letelier}, ESAIM, Control Optim. Calc. Var. 21, No. 3, 603--624 (2015; Zbl 1319.35206) Full Text: DOI arXiv 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
Phan Thành Nam; Seiringer, Robert Collective excitations of Bose gases in the mean-field regime. (English) Zbl 1317.35213 Arch. Ration. Mech. Anal. 215, No. 2, 381-417 (2015). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q40 82B10 PDF BibTeX XML Cite \textit{Phan Thành Nam} and \textit{R. Seiringer}, Arch. Ration. Mech. Anal. 215, No. 2, 381--417 (2015; Zbl 1317.35213) Full Text: DOI arXiv OpenURL
Aftalion, Amandine; Royo-Letelier, Jimena A minimal interface problem arising from a two component Bose-Einstein condensate via \(\Gamma \)-convergence. (English) Zbl 1323.49008 Calc. Var. Partial Differ. Equ. 52, No. 1-2, 165-197 (2015). Reviewer: Chun-Lei Tang (Chongqing) MSC: 49J45 49Q15 35B25 PDF BibTeX XML Cite \textit{A. Aftalion} and \textit{J. Royo-Letelier}, Calc. Var. Partial Differ. Equ. 52, No. 1--2, 165--197 (2015; Zbl 1323.49008) Full Text: DOI arXiv OpenURL
Rougerie, N.; Serfaty, S.; Yngvason, J. Quantum Hall phases and plasma analogy in rotating trapped Bose gases. (English) Zbl 1296.82057 J. Stat. Phys. 154, No. 1-2, 2-50 (2014). MSC: 82D05 82D10 81V70 82B26 PDF BibTeX XML Cite \textit{N. Rougerie} et al., J. Stat. Phys. 154, No. 1--2, 2--50 (2014; Zbl 1296.82057) Full Text: DOI arXiv OpenURL
Antoine, Xavier; Bao, Weizhu; Besse, Christophe Computational methods for the dynamics of the nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 1344.35130 Comput. Phys. Commun. 184, No. 12, 2621-2633 (2013). MSC: 35Q55 65M70 65M06 35Q82 PDF BibTeX XML Cite \textit{X. Antoine} et al., Comput. Phys. Commun. 184, No. 12, 2621--2633 (2013; Zbl 1344.35130) Full Text: DOI arXiv OpenURL
Lin, Tai-chia; Wei, Juncheng; Yang, Jun Vortex rings for the Gross-Pitaevskii equation in \(\mathbb R^3\). (English) Zbl 1285.35110 J. Math. Pures Appl. (9) 100, No. 1, 69-112 (2013). Reviewer: Xingbin Pan (Shanghai) MSC: 35Q55 35B25 35C07 35Q56 PDF BibTeX XML Cite \textit{T.-c. Lin} et al., J. Math. Pures Appl. (9) 100, No. 1, 69--112 (2013; Zbl 1285.35110) Full Text: DOI 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
Aftalion, Amandine; Nier, Francis Adiabatic approximation for a two-level atom in a light beam. (English. French summary) Zbl 1302.35353 Ann. Fac. Sci. Toulouse, Math. (6) 22, No. 1, 43-131 (2013). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q60 78A60 35B40 PDF BibTeX XML Cite \textit{A. Aftalion} and \textit{F. Nier}, Ann. Fac. Sci. Toulouse, Math. (6) 22, No. 1, 43--131 (2013; Zbl 1302.35353) Full Text: DOI arXiv OpenURL
Berestycki, Henri; Lin, Tai-Chia; Wei, Juncheng; Zhao, Chunyi On phase-separation models: asymptotics and qualitative properties. (English) Zbl 1263.35095 Arch. Ration. Mech. Anal. 208, No. 1, 163-200 (2013). MSC: 35J48 35J20 49R05 49J40 PDF BibTeX XML Cite \textit{H. Berestycki} et al., Arch. Ration. Mech. Anal. 208, No. 1, 163--200 (2013; Zbl 1263.35095) Full Text: DOI OpenURL
Rougerie, Nicolas Vortex rings in fast rotating Bose-Einstein condensates. (English) Zbl 1256.35169 Arch. Ration. Mech. Anal. 203, No. 1, 69-135 (2012). MSC: 35Q82 82C10 PDF BibTeX XML Cite \textit{N. Rougerie}, Arch. Ration. Mech. Anal. 203, No. 1, 69--135 (2012; Zbl 1256.35169) Full Text: DOI arXiv OpenURL
Jonsson, B. L. G.; Ovchinnikov, Yu. N.; Sigal, I. M.; Ting, Fridolin Sze Thou Dynamics of breakup of multiple vortices in Gross-Pitaevskii equations of superfluids. (English) Zbl 1272.35175 J. Math. Phys. 52, No. 9, 093505, 16 p. (2011). MSC: 35Q55 35Q56 82C22 82D50 76A25 76B47 PDF BibTeX XML Cite \textit{B. L. G. Jonsson} et al., J. Math. Phys. 52, No. 9, 093505, 16 p. (2011; Zbl 1272.35175) Full Text: DOI OpenURL
Kachmar, Ayman The ground state energy of the three-dimensional Ginzburg-Landau model in the mixed phase. (English) Zbl 1229.35281 J. Funct. Anal. 261, No. 11, 3328-3344 (2011). MSC: 35Q56 49J40 35Q82 82D55 35A15 PDF BibTeX XML Cite \textit{A. Kachmar}, J. Funct. Anal. 261, No. 11, 3328--3344 (2011; Zbl 1229.35281) Full Text: DOI arXiv OpenURL
Liu, Zuhan The spatial behavior of rotating two-component Bose-Einstein condensates. (English) Zbl 1222.35188 J. Funct. Anal. 261, No. 6, 1711-1751 (2011). MSC: 35Q55 35Q40 82B10 PDF BibTeX XML Cite \textit{Z. Liu}, J. Funct. Anal. 261, No. 6, 1711--1751 (2011; Zbl 1222.35188) Full Text: DOI OpenURL
Correggi, M.; Pinsker, F.; Rougerie, N.; Yngvason, J. Critical rotational speeds in the Gross-Pitaevskii theory on a disc with Dirichlet boundary conditions. (English) Zbl 1221.82150 J. Stat. Phys. 143, No. 2, 261-305 (2011). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D55 35B40 76M23 82D50 PDF BibTeX XML Cite \textit{M. Correggi} et al., J. Stat. Phys. 143, No. 2, 261--305 (2011; Zbl 1221.82150) Full Text: DOI arXiv OpenURL
Correggi, M.; Rougerie, N.; Yngvason, J. The transition to a giant vortex phase in a fast rotating Bose-Einstein condensate. (English) Zbl 1217.82074 Commun. Math. Phys. 303, No. 2, 451-508 (2011). Reviewer: Václav Burjan (Praha) MSC: 82D05 PDF BibTeX XML Cite \textit{M. Correggi} et al., Commun. Math. Phys. 303, No. 2, 451--508 (2011; Zbl 1217.82074) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Aftalion} et al., J. Funct. Anal. 260, No. 8, 2387--2406 (2011; Zbl 1220.82006) Full Text: DOI arXiv 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
Moro, Antonio Hodographic vortices. (English) Zbl 1233.78032 Phys. Lett., A 373, No. 34, 3021-3023 (2009). MSC: 78A60 78A05 PDF BibTeX XML Cite \textit{A. Moro}, Phys. Lett., A 373, No. 34, 3021--3023 (2009; Zbl 1233.78032) 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
Rindler-Daller, T. Vortices in rotating Bose-Einstein condensates confined in homogeneous traps. (English) Zbl 1395.82131 Physica A 387, No. 8-9, 1851-1874 (2008). MSC: 82C10 35Q82 PDF BibTeX XML Cite \textit{T. Rindler-Daller}, Physica A 387, No. 8--9, 1851--1874 (2008; Zbl 1395.82131) Full Text: DOI arXiv OpenURL
Yngvason, Jakob Bosons in rapid rotation. (English) Zbl 1165.81415 Int. J. Geom. Methods Mod. Phys. 5, No. 8, 1393-1412 (2008). MSC: 81V70 81V80 82B26 82B10 PDF BibTeX XML Cite \textit{J. Yngvason}, Int. J. Geom. Methods Mod. Phys. 5, No. 8, 1393--1412 (2008; Zbl 1165.81415) 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
Bru, J.-B.; Correggi, M.; Pickl, P.; Yngvason, J. The TF limit for rapidly rotating Bose gases in anharmonic traps. (English) Zbl 1207.82015 Commun. Math. Phys. 280, No. 2, 517-544 (2008). Reviewer: Hiroshi Tamura (Kanazawa) MSC: 82B21 47N50 PDF BibTeX XML Cite \textit{J. B. Bru} et al., Commun. Math. Phys. 280, No. 2, 517--544 (2008; Zbl 1207.82015) Full Text: DOI arXiv OpenURL
Anton, Ramona Global existence for defocusing cubic NLS and Gross-Pitaevskii equations in three dimensional exterior domains. (English) Zbl 1148.35081 J. Math. Pures Appl. (9) 89, No. 4, 335-354 (2008). MSC: 35Q55 35Q53 35B45 PDF BibTeX XML Cite \textit{R. Anton}, J. Math. Pures Appl. (9) 89, No. 4, 335--354 (2008; Zbl 1148.35081) Full Text: DOI arXiv 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
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
Correggi, M.; Rindler-Daller, T.; Yngvason, J. Rapidly rotating Bose-Einstein condensates in homogeneous traps. (English) Zbl 1152.81387 J. Math. Phys. 48, No. 10, 102103, 17 p. (2007). MSC: 82C10 PDF BibTeX XML Cite \textit{M. Correggi} et al., J. Math. Phys. 48, No. 10, 102103, 17 p. (2007; Zbl 1152.81387) Full Text: DOI arXiv OpenURL
Correggi, M.; Rindler-Daller, T.; Yngvason, J. Rapidly rotating Bose-Einstein condensates in strongly anharmonic traps. (English) Zbl 1112.82004 J. Math. Phys. 48, No. 4, 042104, 30 p. (2007). MSC: 82C10 82D50 PDF BibTeX XML Cite \textit{M. Correggi} et al., J. Math. Phys. 48, No. 4, 042104, 30 p. (2007; Zbl 1112.82004) Full Text: DOI arXiv OpenURL
Aftalion, A.; Blanc, X.; Nier, F. Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates. (English) Zbl 1118.82004 J. Funct. Anal. 241, No. 2, 661-702 (2006). Reviewer: A. C. D. van Enter (Groningen) MSC: 82C10 33E05 35Q55 46E20 46N55 PDF BibTeX XML Cite \textit{A. Aftalion} et al., J. Funct. Anal. 241, No. 2, 661--702 (2006; Zbl 1118.82004) Full Text: DOI OpenURL