-
1
-
-
84859541824
-
Vortices in bose-einstein condensates
-
A. Aftalion, "Vortices in Bose-Einstein Condensates," Progress in Nonlinear Differential Equations and their Applications, 67, Birkhäuser Boston, Inc., Boston, MA, 2006.
-
(2006)
Progress in Nonlinear Differential Equations and their Applications, 67, Birkhäuser Boston, Inc., Boston, MA
-
-
Aftalion, A.1
-
2
-
-
61549128689
-
On the finite energy weak solutions to a system in quantum uid dynamics
-
P. Antonelli and P. Marcati, On the finite energy weak solutions to a system in quantum uid dynamics, Comm. Math. Phys., 287 (2009), 657-686.
-
(2009)
Comm. Math. Phys.
, vol.287
, pp. 657-686
-
-
Antonelli, P.1
Marcati, P.2
-
3
-
-
79551476770
-
On the regularization mechanism for the periodic korteweg-de vries equation comm
-
A. V. Babin, A. A. Ilyin and E. S. Titi, On the regularization mechanism for the periodic Korteweg-de Vries equation, Comm. Pure Applied Math., 64 (2011), 591-648.
-
(2011)
Pure Applied Math.
, vol.64
, pp. 591-648
-
-
Babin, A.V.1
Ilyin, A.A.2
Titi, E.S.3
-
4
-
-
33745667769
-
Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation
-
DOI 10.1137/050629392
-
W. Bao, Q. Du and Y. Z. Zhang, Dynamics of rotating Bose-Einstein condensates and its efficient and accurate numerical computation, SIAM J. Appl. Math., 66 (2006), 758-786. (Pubitemid 43966547)
-
(2006)
SIAM Journal on Applied Mathematics
, vol.66
, Issue.3
, pp. 758-786
-
-
Bao, W.1
Du, Q.2
Zhang, Y.3
-
5
-
-
1542282092
-
Nonlinear schrödinger equations with repulsive harmonic potential and applications
-
R. Carles, Nonlinear Schrödinger equations with repulsive harmonic potential and applications, SIAM J. Math. Anal., 35 (2003), 823-843.
-
(2003)
SIAM J. Math. Anal.
, vol.35
, pp. 823-843
-
-
Carles, R.1
-
6
-
-
23844511635
-
Global existence results for nonlinear Schrödinger equations with quadratic potentials
-
R. Carles, Global existence results for nonlinear Schrödinger equations with quadratic potentials, Discrete Contin. Dyn. Syst., 13 (2005), 385-398. (Pubitemid 41179944)
-
(2005)
Discrete and Continuous Dynamical Systems
, vol.13
, Issue.2
, pp. 385-398
-
-
Carles, R.1
-
7
-
-
79961221521
-
Nonlinear schrödinger equation with time dependent potential
-
R. Carles, Nonlinear Schrödinger equation with time dependent potential, Commun. Math. Sci., 9 (2011), no. 4, 937-964.
-
(2011)
Commun. Math. Sci.
, vol.9
, Issue.4
, pp. 937-964
-
-
Carles, R.1
-
8
-
-
5444256656
-
Semilinear schrödinger equations
-
New York University Courant Institute of Mathematical Sciences, New York, American Mathematical Society, Providence, RI
-
T. Cazenave, "Semilinear Schrödinger Equations," Courant Lecture Notes in Mathematics, 10, New York University Courant Institute of Mathematical Sciences, New York, American Mathematical Society, Providence, RI, 2003.
-
(2003)
Courant Lecture Notes in Mathematics
, vol.10
-
-
Cazenave, T.1
-
9
-
-
0001082862
-
Bose-Einstein Condensates in an Optical Lattice
-
D. Choi and Q. Niu, Bose-Einstein condensates in an optical lattice, Phys. Rev. Lett., 82 (1999), 2022-2025. (Pubitemid 129580682)
-
(1999)
Physical Review Letters
, vol.82
, Issue.10
, pp. 2022-2025
-
-
Choi, D.-I.1
Niu, Q.2
-
10
-
-
36749114276
-
On the blowing up of solutions to the cauchy problem for nonlinear schrödinger equations
-
R. T. Glassey, On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations, J. Math. Phys., 18 (1977), 1794-1797.
-
(1977)
J. Math. Phys.
, vol.18
, pp. 1794-1797
-
-
Glassey, R.T.1
-
11
-
-
41149168071
-
Global well posedness for the Gross-Pitaevskii equation with an angular momentum rotational term
-
DOI 10.1002/mma.931
-
C. Hao, L. Hsiao and H.-L. Li, Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term, Math. Methods Appl. Sci., 31 (2008), 655-664. (Pubitemid 351427969)
-
(2008)
Mathematical Methods in the Applied Sciences
, vol.31
, Issue.6
, pp. 655-664
-
-
Hao, C.1
Hsiao, L.2
Li, H.-L.3
-
12
-
-
36148968128
-
Global well-posedness for the gross-pitaevskii equation with an angular momentum rotational term in three dimensions
-
102105
-
C. Hao, L. Hsiao and H.-L. Li, Global well-posedness for the Gross-Pitaevskii equation with an angular momentum rotational term in three dimensions, J. Math. Phys., 48 (2007), 102105, 11 pp.
-
(2007)
J. Math. Phys.
, vol.48
-
-
Hao, C.1
Hsiao, L.2
Li, H.-L.3
-
13
-
-
44649171565
-
Bright solitary waves of atomic boseeinstein condensates under rotation
-
N. A. Jamaludin, N. G. Parker and A. M. Martin, Bright solitary waves of atomic BoseEinstein condensates under rotation, Phys. Rev. A, 77 (2008), 051603.
-
(2008)
Phys. Rev. A
, vol.77
, pp. 051603
-
-
Jamaludin, N.A.1
Parker, N.G.2
Martin, A.M.3
-
14
-
-
0000387301
-
Self-similar solutions of the pseudo-conformally invariant nonlinear schrödinger equation
-
O. Kavian and F. Weissler, Self-similar solutions of the pseudo-conformally invariant nonlinear Schrödinger equation, Michigan Math. J., 41 (1994), 151-173.
-
(1994)
Michigan Math. J.
, vol.41
, pp. 151-173
-
-
Kavian, O.1
Weissler, F.2
-
15
-
-
0000175040
-
On a construction of the fundamental solution for schrödinger equations
-
H. Kitada, On a construction of the fundamental solution for Schrödinger equations, J. Fac. Sci. Univ. Tokyo Sec. IA Math., 27 (1980), 193-226.
-
(1980)
J. Fac. Sci. Univ. Tokyo Sec. IA Math.
, vol.27
, pp. 193-226
-
-
Kitada, H.1
-
16
-
-
33645993919
-
Derivation of the gross-pitaevskii equation for rotating bose gases
-
DOI 10.1007/s00220-006-1524-9
-
E. Lieb and R. Seiringer, Derivation of the Gross-Pitaevskii equation for rotating Bose gases, Comm. Math. Phys., 264 (2006), 505-537. (Pubitemid 43593302)
-
(2006)
Communications in Mathematical Physics
, vol.264
, Issue.2
, pp. 505-537
-
-
Lieb, E.H.1
Seiringer, R.2
-
17
-
-
29344463413
-
Critical thresholds in the semiclassical limit of 2-d rotational schrödinger equations
-
H. Liu, Critical thresholds in the semiclassical limit of 2-D rotational Schrödinger equations, Z. Angew. Math. Phys., 57 (2006), 42-58.
-
(2006)
Z. Angew. Math. Phys.
, vol.57
, pp. 42-58
-
-
Liu, H.1
-
18
-
-
44349088142
-
Rigorous derivation of the hydrodynamical equations for rotating superfluids
-
DOI 10.1142/S0218202508002826, PII S0218202508002826
-
H. Liu and C. Sparber, Rigorous derivation of the hydrodynamical equations for rotating superuids, Math. Models Methods Appl. Sci., 18 (2008), 689-706. (Pubitemid 351730145)
-
(2008)
Mathematical Models and Methods in Applied Sciences
, vol.18
, Issue.5
, pp. 689-706
-
-
Liu, H.1
Sparber, C.2
-
19
-
-
0347270355
-
Rotation prevents finite-time breakdown
-
H. Liu and E. Tadmor, Rotation prevents finite-time breakdown, Phys. D, 188 (2004), 262-276.
-
(2004)
Phys. D
, vol.188
, pp. 262-276
-
-
Liu, H.1
Tadmor, E.2
-
20
-
-
0347318638
-
Vortex formation in a stirred bose-einstein condensate
-
K. W. Madison, F. Chevy, W. Wohlleben and J. Dalibard, Vortex formation in a stirred Bose-Einstein condensate, Phys. Rev. Lett., 84 (2000), 806-809.
-
(2000)
Phys. Rev. Lett.
, vol.84
, pp. 806-809
-
-
Madison, K.W.1
Chevy, F.2
Wohlleben, W.3
Dalibard, J.4
-
21
-
-
0035858573
-
Stationary states of a rotating Bose-Einstein condensate: Routes to vortex nucleation
-
DOI 10.1103/PhysRevLett.86.4443
-
K. W. Madison, F. Chevy, V. Bretin and J. Dalibard, Stationary states of a rotating BoseEinstein condensate: Routes to vortex nucleation, Phys. Rev. Lett., 86 (2001), 4443-4446. (Pubitemid 32471359)
-
(2001)
Physical Review Letters
, vol.86
, Issue.20
, pp. 4443-4446
-
-
Madison, K.W.1
Chevy, F.2
Bretin, V.3
Dalibard, J.4
-
22
-
-
14944338601
-
Vortices in a bose-einstein condensate
-
M. R. Matthews, B. P. Anderson, P. C. Haljan, D. S. Hall, C. E. Wieman and E. A. Cornell, Vortices in a Bose-Einstein condensate, Phys. Rev. Lett., 83 (1999), 2498-2501.
-
(1999)
Phys. Rev. Lett.
, vol.83
, pp. 2498-2501
-
-
Matthews, M.R.1
Anderson, B.P.2
Haljan, P.C.3
Hall, D.S.4
Wieman, C.E.5
Cornell, E.A.6
-
23
-
-
79961212882
-
On the blow up phenomenon for the l2 critical non linear schrödinger equation, in "lectures on nonlinear dispersive equations
-
Gakkōtosho, Tokyo
-
P. Raphaël, On the blow up phenomenon for the L2 critical non linear Schrödinger equation, in "Lectures on Nonlinear Dispersive Equations," GAKUTO Internat. Ser. Math. Sci. Appl., 27, Gakkōtosho, Tokyo, (2006), 9-61.
-
(2006)
GAKUTO Internat. Ser. Math. Sci. Appl.
, vol.27
, pp. 9-61
-
-
Raphaël, P.1
-
24
-
-
0036768595
-
Gross-Pitaevskii theory of the rotating Bose gas
-
DOI 10.1007/s00220-002-0695-2
-
R. Seiringer, Gross-Pitaevskii theory of the rotating Bose gas, Comm. Math. Phys., 229 (2002), 491-509. (Pubitemid 36185809)
-
(2002)
Communications in Mathematical Physics
, vol.229
, Issue.3
, pp. 491-509
-
-
Seiringer, R.1
-
25
-
-
34248653195
-
Bose-einstein condensates in fast rotation
-
S. Stock, B. Battelier, V. Bretin, Z. Hadzibabic and J. Dalibard, Bose-Einstein condensates in fast rotation, Laser Phy. Lett., 2 (2005), 275-284.
-
(2005)
Laser Phy. Lett.
, vol.2
, pp. 275-284
-
-
Stock, S.1
Battelier, B.2
Bretin, V.3
Hadzibabic, Z.4
Dalibard, J.5
-
26
-
-
79961087126
-
Attractive bose-einstein condensates in three dimensions under rotation: Revisiting the problem of stability of the ground state in harmonic traps
-
M. C. Tsatsos, Attractive Bose-Einstein Condensates in three dimensions under rotation: Revisiting the problem of stability of the ground state in harmonic traps, Phys. Rev. A, 83 (2011), 063615.
-
(2011)
Phys. Rev. A
, vol.83
, pp. 063615
-
-
Tsatsos, M.C.1
|