Aftalion, Amandine; Farina, Alberto; Nguyen, Luc Moving planes for domain walls in a coupled system. (English) Zbl 1479.35358 Commun. Partial Differ. Equations 46, No. 8, 1410-1439 (2021). MSC: 35J57 35A01 PDFBibTeX XMLCite \textit{A. Aftalion} et al., Commun. Partial Differ. Equations 46, No. 8, 1410--1439 (2021; Zbl 1479.35358) Full Text: DOI arXiv
Aftalion, Amandine; Trélat, Emmanuel Pace and motor control optimization for a runner. (English) Zbl 1467.92025 J. Math. Biol. 83, No. 1, Paper No. 9, 21 p. (2021). MSC: 92C10 34H05 49K15 PDFBibTeX XMLCite \textit{A. Aftalion} and \textit{E. Trélat}, J. Math. Biol. 83, No. 1, Paper No. 9, 21 p. (2021; Zbl 1467.92025) Full Text: DOI arXiv
Aftalion, Amandine; Rodiac, Rémy One dimensional phase transition problem modeling striped spin orbit coupled Bose-Einstein condensates. (English) Zbl 1444.49007 J. Differ. Equations 269, No. 1, 38-81 (2020). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 49J45 49K05 35Q82 82B26 PDFBibTeX XMLCite \textit{A. Aftalion} and \textit{R. Rodiac}, J. Differ. Equations 269, No. 1, 38--81 (2020; Zbl 1444.49007) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
Aftalion, Amandine; Sourdis, Christos Phase transition in a Rabi coupled two-component Bose-Einstein condensate. (English) Zbl 1421.34028 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 381-397 (2019). MSC: 34C37 34C60 34C05 34E15 34C45 PDFBibTeX XMLCite \textit{A. Aftalion} and \textit{C. Sourdis}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 184, 381--397 (2019; Zbl 1421.34028) Full Text: DOI arXiv
Appert-Rolland, Cécile; Hilhorst, Hendrik-Jan; Aftalion, Amandine Nash equilibrium in a stochastic model of two competing athletes. (English) Zbl 1459.91027 J. Stat. Mech. Theory Exp. 2018, No. 5, Article ID 053401, 23 p. (2018). MSC: 91A80 91A05 PDFBibTeX XMLCite \textit{C. Appert-Rolland} et al., J. Stat. Mech. Theory Exp. 2018, No. 5, Article ID 053401, 23 p. (2018; Zbl 1459.91027) Full Text: DOI arXiv
Aftalion, Amandine; Sourdis, Christos Interface layer of a two-component Bose-Einstein condensate. (English) Zbl 1372.34090 Commun. Contemp. Math. 19, No. 5, Article ID 1650052, 46 p. (2017). MSC: 34E05 34B08 34B15 34E20 34C37 34B40 82B10 PDFBibTeX XMLCite \textit{A. Aftalion} and \textit{C. Sourdis}, Commun. Contemp. Math. 19, No. 5, Article ID 1650052, 46 p. (2017; Zbl 1372.34090) Full Text: DOI arXiv
Aftalion, Amandine How to run 100 meters. (English) Zbl 1372.49024 SIAM J. Appl. Math. 77, No. 4, 1320-1334 (2017). MSC: 49K15 49J15 97M60 49M15 PDFBibTeX XMLCite \textit{A. Aftalion}, SIAM J. Appl. Math. 77, No. 4, 1320--1334 (2017; Zbl 1372.49024) Full Text: DOI arXiv
Aftalion, Amandine; Despaigne, Louis-Henri; Frentz, Alexis; Gabet, Pierre; Lajouanie, Antoine; Lorthiois, Marc-Antoine; Roquette, Lucien; Vernet, Camille How to identify the physiological parameters and run the optimal race. (English) Zbl 1343.92093 MathS In Action 7, 1-10 (2016). MSC: 92C30 92C40 PDFBibTeX XMLCite \textit{A. Aftalion} et al., MathS In Action 7, 1--10 (2016; Zbl 1343.92093) Full Text: DOI
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 PDFBibTeX XMLCite \textit{A. Aftalion} et al., Commun. Math. Phys. 336, No. 2, 509--579 (2015; Zbl 1325.49004) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \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
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
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 PDFBibTeX XMLCite \textit{A. Aftalion} et al., J. Funct. Anal. 257, No. 3, 753--806 (2009; Zbl 1180.82118) Full Text: DOI arXiv
Aftalion, Amandine; Helffer, Bernard On mathematical models for Bose-Einstein condensates in optical lattices. (English) Zbl 1171.82304 Rev. Math. Phys. 21, No. 2, 229-278 (2009). MSC: 82B20 35Q55 35J10 35J20 82B10 PDFBibTeX XMLCite \textit{A. Aftalion} and \textit{B. Helffer}, Rev. Math. Phys. 21, No. 2, 229--278 (2009; Zbl 1171.82304) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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
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 PDFBibTeX XMLCite \textit{A. Aftalion} et al., J. Funct. Anal. 241, No. 2, 661--702 (2006; Zbl 1118.82004) Full Text: DOI
Aftalion, Amandine; Alama, Stan; Bronsard, Lia Giant vortex and the breakdown of strong pinning in a rotating Bose-Einstein condensate. (English) Zbl 1075.76063 Arch. Ration. Mech. Anal. 178, No. 2, 247-286 (2005). MSC: 76Y05 82D50 PDFBibTeX XMLCite \textit{A. Aftalion} et al., Arch. Ration. Mech. Anal. 178, No. 2, 247--286 (2005; Zbl 1075.76063) Full Text: DOI
Aftalion, Amandine; Pacella, Filomena Morse index and uniqueness for positive solutions of radial \(p\)-Laplace equations. (English) Zbl 1062.58015 Trans. Am. Math. Soc. 356, No. 11, 4255-4272 (2004). Reviewer: Youssef Jabri (Oujda) MSC: 58E05 35J05 PDFBibTeX XMLCite \textit{A. Aftalion} and \textit{F. Pacella}, Trans. Am. Math. Soc. 356, No. 11, 4255--4272 (2004; Zbl 1062.58015) Full Text: DOI
Aftalion, Amandine; Du, Qiang The bifurcation diagrams for the Ginzburg-Landau system of superconductivity. (English) Zbl 1082.82018 Physica D 163, No. 1-2, 94-105 (2002). MSC: 82D55 35B32 34B15 35Q99 PDFBibTeX XMLCite \textit{A. Aftalion} and \textit{Q. Du}, Physica D 163, No. 1--2, 94--105 (2002; Zbl 1082.82018) Full Text: DOI arXiv
Aftalion, Amandine On the minimizers of the Ginzburg-Landau energy for high kappa: The axially symmetric case. (English) Zbl 0940.35183 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 16, No. 6, 747-772 (1999). Reviewer: Marco Biroli (Monza) MSC: 35Q55 82D55 PDFBibTeX XMLCite \textit{A. Aftalion}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 16, No. 6, 747--772 (1999; Zbl 0940.35183) Full Text: DOI Numdam EuDML
Aftalion, Amandine; Troy, William C. On the solutions of the one-dimensional Ginzburg-Landau equations for superconductivity. (English) Zbl 0946.34023 Physica D 132, No. 1-2, 214-232 (1999). Reviewer: S.Nocilla (Torino) MSC: 34B30 82D55 PDFBibTeX XMLCite \textit{A. Aftalion} and \textit{W. C. Troy}, Physica D 132, No. 1--2, 214--232 (1999; Zbl 0946.34023) Full Text: DOI arXiv