-
1
-
-
0033249226
-
Topological sectors for Ginzburg-Landau energy
-
3
-
L. Almeida 1999 Topological sectors for Ginzburg-Landau energy Rev. Mat. Iber. 15 3 487 546
-
(1999)
Rev. Mat. Iber.
, vol.15
, pp. 487-546
-
-
Almeida, L.1
-
5
-
-
56349129439
-
Vortices and sound waves for the Gross-Pitaevskii equation
-
Nonlinear PDE's in Condensed Matter and Reactive Flows Mathematical and Physical Sciences, Dordrecht, Kluwer Academic Publishers
-
Béthuel, F., Saut, J.-C.: Vortices and sound waves for the Gross-Pitaevskii equation. In: Nonlinear PDE's in Condensed Matter and Reactive Flows, Volume 569 of NATO Science Series C. Mathematical and Physical Sciences, Dordrecht, Kluwer Academic Publishers, 2002, pp. 339-354
-
(2002)
NATO Science Series C
, vol.569
, pp. 339-354
-
-
Béthuel, F.1
Saut, J.-C.2
-
6
-
-
0030545823
-
Analyticity of solitary-wave solutions of model equations for long waves
-
3
-
J.L. Bona Y.A. Li 1996 Analyticity of solitary-wave solutions of model equations for long waves SIAM J. Math. Anal. 27 3 725 737
-
(1996)
SIAM J. Math. Anal.
, vol.27
, pp. 725-737
-
-
Bona, J.L.1
Li, Y.A.2
-
7
-
-
0031142252
-
Decay and analyticity of solitary waves
-
5
-
J.L. Bona Y.A. Li 1997 Decay and analyticity of solitary waves J. Math. Pures Appl. 76 5 377 430
-
(1997)
J. Math. Pures Appl.
, vol.76
, pp. 377-430
-
-
Bona, J.L.1
Li, Y.A.2
-
8
-
-
3042636806
-
Travelling waves for the Gross-Pitaevskii equation in dimension larger than two
-
1-2
-
D. Chiron 2004 Travelling waves for the Gross-Pitaevskii equation in dimension larger than two Nonlinear Anal. 58 1-2 175 204
-
(2004)
Nonlinear Anal.
, vol.58
, pp. 175-204
-
-
Chiron, D.1
-
9
-
-
0002267149
-
Remarks on the stability of generalized KP solitary waves
-
Mathematical problems in the theory of water waves (Luminy Providence, RI: Amer. Math. Soc.
-
de Bouard, A., Saut, J.-C.: Remarks on the stability of generalized KP solitary waves. In: Mathematical problems in the theory of water waves (Luminy, 1995), Volume 200 of Contemp. Math., Providence, RI: Amer. Math. Soc., 1996, pp. 75-84
-
(1995)
Contemp. Math.
, vol.200
, pp. 75-84
-
-
De Bouard, A.1
Saut, J.-C.2
-
11
-
-
0031502156
-
Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves
-
5
-
A. de Bouard J.-C. Saut 1997 Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves SIAM J. Math. Anal. 28 5 1064 1085
-
(1997)
SIAM J. Math. Anal.
, vol.28
, pp. 1064-1085
-
-
De Bouard, A.1
Saut, J.-C.2
-
12
-
-
0016092731
-
On the variational principle
-
I. Ekeland 1974 On the variational principle J. Math. Anal. Appl. 47 324 353
-
(1974)
J. Math. Anal. Appl.
, vol.47
, pp. 324-353
-
-
Ekeland, I.1
-
13
-
-
0345492045
-
From Ginzburg-Landau to Gross-Pitaevskii
-
A. Farina 2003 From Ginzburg-Landau to Gross-Pitaevskii Monatsh. Math. 139 265 269
-
(2003)
Monatsh. Math.
, vol.139
, pp. 265-269
-
-
Farina, A.1
-
17
-
-
34247524616
-
Two remarks on solutions of Gross-Pitaevskii equations on Zhidkov spaces
-
1
-
O. Goubet 2007 Two remarks on solutions of Gross-Pitaevskii equations on Zhidkov spaces Monatsh. Math. 151 1 39 44
-
(2007)
Monatsh. Math.
, vol.151
, pp. 39-44
-
-
Goubet, O.1
-
18
-
-
0038106196
-
Limit at infinity for travelling waves in the Gross-Pitaevskii equation
-
2
-
P. Gravejat 2003 Limit at infinity for travelling waves in the Gross-Pitaevskii equation C. R. Math. Acad. Sci. Paris. 336 2 147 152
-
(2003)
C. R. Math. Acad. Sci. Paris.
, vol.336
, pp. 147-152
-
-
Gravejat, P.1
-
19
-
-
0344983000
-
A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation
-
1
-
P. Gravejat 2003 A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation Commun. Math. Phys. 243 1 93 103
-
(2003)
Commun. Math. Phys.
, vol.243
, pp. 93-103
-
-
Gravejat, P.1
-
21
-
-
28444495640
-
Limit at infinity and nonexistence results for sonic travelling waves in the Gross-Pitaevskii equation
-
11-12
-
P. Gravejat 2004 Limit at infinity and nonexistence results for sonic travelling waves in the Gross-Pitaevskii equation Differ. Int. Eqs. 17 11-12 1213 1232
-
(2004)
Differ. Int. Eqs.
, vol.17
, pp. 1213-1232
-
-
Gravejat, P.1
-
22
-
-
28444458143
-
Asymptotics for the travelling waves in the Gross-Pitaevskii equation
-
3-4
-
P. Gravejat 2005 Asymptotics for the travelling waves in the Gross-Pitaevskii equation Asymptot. Anal. 45 3-4 227 299
-
(2005)
Asymptot. Anal.
, vol.45
, pp. 227-299
-
-
Gravejat, P.1
-
23
-
-
56349089050
-
First order asymptotics for the travelling waves in the Gross-Pitaevskii equation
-
3
-
P. Gravejat 2006 First order asymptotics for the travelling waves in the Gross-Pitaevskii equation Adv. Differ. Eqs. 11 3 259 280
-
(2006)
Adv. Differ. Eqs.
, vol.11
, pp. 259-280
-
-
Gravejat, P.1
-
24
-
-
45849126483
-
Asymptotics of the solitary waves for the generalised Kadomtsev-Petviashvili equations
-
3
-
P. Gravejat 2008 Asymptotics of the solitary waves for the generalised Kadomtsev-Petviashvili equations Disc. Cont. Dynam. Syst. 21 3 835 882
-
(2008)
Disc. Cont. Dynam. Syst.
, vol.21
, pp. 835-882
-
-
Gravejat, P.1
-
25
-
-
0000394530
-
Hydrodynamics of a superfluid condensate
-
2
-
E.P. Gross 1963 Hydrodynamics of a superfluid condensate J. Math. Phys. 4 2 195 207
-
(1963)
J. Math. Phys.
, vol.4
, pp. 195-207
-
-
Gross, E.P.1
-
26
-
-
56349103812
-
-
Preprint
-
Gustafson, S., Nakanishi, K., Tsai, T.-P.: Scattering theory for the Gross-Pitaevskii equation in three dimensions. Preprint, available at http://arxiv.org/abs/0803.3208vi[math.AP], 2008
-
(2008)
Scattering Theory for the Gross-Pitaevskii Equation in Three Dimensions
-
-
Gustafson, S.1
Nakanishi, K.2
Tsai, T.-P.3
-
28
-
-
38849210067
-
Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions
-
7
-
S. Gustafson K. Nakanishi T.-P. Tsai 2007 Global dispersive solutions for the Gross-Pitaevskii equation in two and three dimensions Ann. Henri Poincaré. 8 7 1303 1331
-
(2007)
Ann. Henri Poincaré.
, vol.8
, pp. 1303-1331
-
-
Gustafson, S.1
Nakanishi, K.2
Tsai, T.-P.3
-
29
-
-
0043108380
-
Three-dimensional solitons in He II
-
10
-
S.V. Iordanskii A.V. Smirnov 1978 Three-dimensional solitons in He II JETP Lett. 27 10 535 538
-
(1978)
JETP Lett.
, vol.27
, pp. 535-538
-
-
Iordanskii, S.V.1
Smirnov, A.V.2
-
30
-
-
0001423717
-
Motions in a Bose condensate V. Stability of solitary wave solutions of nonlinear Schrödinger equations in two and three dimensions
-
C.A. Jones S.J. Putterman P.H. Roberts 1986 Motions in a Bose condensate V. Stability of solitary wave solutions of nonlinear Schrödinger equations in two and three dimensions J. Phys. A, Math. Gen. 19 2991 3011
-
(1986)
J. Phys. A, Math. Gen.
, vol.19
, pp. 2991-3011
-
-
Jones, C.A.1
Putterman, S.J.2
Roberts, P.H.3
-
32
-
-
33746959269
-
Analyticity of solitary wave solutions to generalized Kadomtsev-Petviashvili equations
-
2
-
K. Kato P.-N. Pipolo 2001 Analyticity of solitary wave solutions to generalized Kadomtsev-Petviashvili equations Proc. Roy. Soc. Edinb. A. 131 2 391 424
-
(2001)
Proc. Roy. Soc. Edinb. A.
, vol.131
, pp. 391-424
-
-
Kato, K.1
Pipolo, P.-N.2
-
34
-
-
0002882973
-
A constrained minimization problem with integrals on the entire space
-
1
-
O. Lopes 1994 A constrained minimization problem with integrals on the entire space Bol. Soc. Bras. Mat. 25 1 77 92
-
(1994)
Bol. Soc. Bras. Mat.
, vol.25
, pp. 77-92
-
-
Lopes, O.1
-
35
-
-
0038523543
-
Analyticity and decay properties of the solitary waves to the Benney-Luke equation
-
3
-
M. Maris 2001 Analyticity and decay properties of the solitary waves to the Benney-Luke equation Differ. Int. Eqs. 14 3 361 384
-
(2001)
Differ. Int. Eqs.
, vol.14
, pp. 361-384
-
-
Maris, M.1
-
36
-
-
0036885448
-
On the existence, regularity and decay of solitary waves to a generalized Benjamin-Ono equation
-
6
-
M. Maris 2002 On the existence, regularity and decay of solitary waves to a generalized Benjamin-Ono equation Nonlinear Anal. 51 6 1073 1085
-
(2002)
Nonlinear Anal.
, vol.51
, pp. 1073-1085
-
-
Maris, M.1
-
38
-
-
0000196586
-
Vortex lines in an imperfect Bose gas
-
2
-
L.P. Pitaevskii 1961 Vortex lines in an imperfect Bose gas Sov. Phys. JETP. 13 2 451 454
-
(1961)
Sov. Phys. JETP.
, vol.13
, pp. 451-454
-
-
Pitaevskii, L.P.1
-
39
-
-
0003552286
-
Harmonic analysis : RReal-variable methods, orthogonality, and oscillatory integrals
-
Monographs in Harmonic Analysis. Princeton, NJ: Princeton Univ. Press (With the assistance of T.S. Murphy)
-
Stein, E.M.: Harmonic analysis : Real-variable methods, orthogonality, and oscillatory integrals. Volume 43 of Princeton Mathematical Series. Monographs in Harmonic Analysis. Princeton, NJ: Princeton Univ. Press, 1993 (With the assistance of T.S. Murphy)
-
(1993)
Princeton Mathematical Series
, vol.43
-
-
Stein, E.M.1
-
40
-
-
34547534507
-
A lower bound on the energy of travelling waves of fixed speed for the Gross-Pitaevskii equation
-
4
-
É. Tarquini 2007 A lower bound on the energy of travelling waves of fixed speed for the Gross-Pitaevskii equation Monatsh. Math. 151 4 333 339
-
(2007)
Monatsh. Math.
, vol.151
, pp. 333-339
-
-
Tarquini E.́1
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