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Volumn 151, Issue 4, 2007, Pages 333-339

A lower bound on the energy of travelling waves of fixed speed for the Gross-Pitaevskii equation

Author keywords

Gross Pitaevskii equation; Travelling waves

Indexed keywords


EID: 34547534507     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00605-006-0443-3     Document Type: Article
Times cited : (5)

References (12)
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    • 2442530451 scopus 로고    scopus 로고
    • Vortex rings for the Gross-Pitaevskii equation
    • F Béthuel G Orlandi D Smets 2004 Vortex rings for the Gross-Pitaevskii equation J Eur Math Soc 6 17 94
    • (2004) J Eur Math Soc , vol.6 , pp. 17-94
    • Béthuel, F.1    Orlandi, G.2    Smets, D.3
  • 5
    • 3042636806 scopus 로고    scopus 로고
    • Travelling waves for the Gross-Pitaevskii equation in dimension larger than two
    • D Chiron 2004 Travelling waves for the Gross-Pitaevskii equation in dimension larger than two Nonlinear Anal 58 175 204
    • (2004) Nonlinear Anal , vol.58 , pp. 175-204
    • Chiron, D.1
  • 6
    • 0345492045 scopus 로고    scopus 로고
    • 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
  • 7
    • 28444495640 scopus 로고    scopus 로고
    • Limit at infinity and nonexistence results for sonic travelling waves in the Gross-Pitaevskii equation
    • P Gravejat 2004 Limit at infinity and nonexistence results for sonic travelling waves in the Gross-Pitaevskii equation Differential Integral Equations 17 1213 1232
    • (2004) Differential Integral Equations , vol.17 , pp. 1213-1232
    • Gravejat, P.1
  • 8
    • 0344983000 scopus 로고    scopus 로고
    • A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation
    • P Gravejat 2003 A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation Comm Math Phys 243 93 103
    • (2003) Comm Math Phys , vol.243 , pp. 93-103
    • Gravejat, P.1
  • 9
    • 4344609655 scopus 로고    scopus 로고
    • Decay for travelling waves in the Gross-Pitaevskii equation
    • P Gravejat 2004 Decay for travelling waves in the Gross-Pitaevskii equation Ann Inst H Poincaré Anal Non Linéaire 21 591 637
    • (2004) Ann Inst H Poincaré Anal Non Linéaire , vol.21 , pp. 591-637
    • Gravejat, P.1
  • 11
    • 0001423717 scopus 로고
    • Motions in a Bose condensate V. Stability of wave solutions of nonlinear Schrodinger equations in two and three dimensions
    • CA Jones SJ Putterman PH Roberts 1986 Motions in a Bose condensate V. Stability of wave solutions of nonlinear Schrodinger 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
  • 12
    • 36149046137 scopus 로고
    • Motions in a Bose condensate IV, Axisymmetric solitary waves
    • CA Jones PH Roberts 1982 Motions in a Bose condensate IV, Axisymmetric solitary waves J Phys A Math Gen 15 2599 2619
    • (1982) J Phys A Math Gen , vol.15 , pp. 2599-2619
    • Jones, C.A.1    Roberts, P.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.