A Non-Existence Result for Supersonic Travelling Waves in the Gross-Pitaevskii Equation

Communications in Mathematical Physics

Volumn 243, Issue 1, 2003, Pages 93-103

  Gravejat, Philippe ^a  

^a UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344983000     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0961-y     Document Type: Article

References (12)

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2. Béthuel, F., Saut, J.C.: Travelling waves for the Gross-Pitaevskii equation II. Preprint
3. Béthuel, F., Orlandi, G., Smets, D.: Vortex rings for the Gross-Pitaevskii equation. J. Eur. Math. Soc., in press
4. Cohen-Tannoudji, C., Dupont-Roc, J., Grynberg, G.: Photons et atomes. Introduction a ̀ l'électrodynamique quantique. Interéditions, Editions du CNRS, 1987
5. Farina, A.: From Ginzburg-Landau to Gross-Pitaevskii. Preprint
6. Gravejat, P.: Limit at infinity for travelling waves in the Gross-Pitaevskii equation. C. R. Acad. Sci. Paris, Sér I 336, 147-152 (2003)
7. Gravejat, P.: Decay for travelling waves in the Gross-Pitaevskii equation. Ann. Inst. Henri Poincaré Analyse non linéaire, in press
8. Gross, E.P.: Hydrodynamics of a superfluid condensate. J. Math. Phys. 4(2), 195-207 (1963)
9. Jones, C.A., Roberts, P.H.: Motions in a Bose condensate IV, Axisymmetric solitary waves. J. Phys. A.Math. Gen. 15, 2599-2619 (1982)
10. Jones, C.A., Putterman, S.J., Roberts, P.H.: Motions in a Bose condensate V, Stability of wave solutions of nonlinear Schrödinger equations in two and three dimensions. J. Phys. A. Math. Gen. 15, 2991-3011 (1982)
11. Madelung, E.: Quantumtheorie in Hydrodynamische form. Zts. F. Phys. 40, 322-326 (1926)
12. Pitaevskii, L.P.: Vortex lines in an imperfect Bose gas. Soviet Physics JEPT 13(2), 451-454 (1961)