메뉴 건너뛰기




Volumn 21, Issue 5, 2004, Pages 591-637

Decay for travelling waves in the Gross-Pitaevskii equation

Author keywords

Decay at infinity; Nonlinear Schr dinger equation; Travelling waves

Indexed keywords

ASYMPTOTIC STABILITY; COMPUTATIONAL GEOMETRY; CONVERGENCE OF NUMERICAL METHODS; DECAY (ORGANIC); MATHEMATICAL MODELS; SET THEORY; SUPERCONDUCTIVITY; SUPERFLUID HELIUM;

EID: 4344609655     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2003.09.001     Document Type: Article
Times cited : (32)

References (18)
  • 1
    • 0037836463 scopus 로고    scopus 로고
    • Travelling waves for the Gross-Pitaevskii equation I
    • Béthuel F., Saut J.C. Travelling waves for the Gross-Pitaevskii equation I. Ann. Inst. H. Poincaré Phys. Théor. 70:(2):1999;147-238.
    • (1999) Ann. Inst. H. Poincaré Phys. Théor. , vol.70 , Issue.2 , pp. 147-238
    • Béthuel, F.1    Saut, J.C.2
  • 4
    • 0031142252 scopus 로고    scopus 로고
    • Decay and analyticity of solitary waves
    • Bona J.L., Li Yi A. Decay and analyticity of solitary waves. J. Math. Pures Appl. (9). 76:(5):1997;377-430.
    • (1997) J. Math. Pures Appl. (9) , vol.76 , Issue.5 , pp. 377-430
    • Bona, J.L.1    Li, Y.A.2
  • 6
    • 0031502156 scopus 로고    scopus 로고
    • Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves
    • de Bouard A., Saut J.C. Symmetries and decay of the generalized Kadomtsev-Petviashvili solitary waves. SIAM J. Math. Anal. 28:(5):1997;1064- 1085.
    • (1997) SIAM J. Math. Anal. , vol.28 , Issue.5 , pp. 1064-1085
    • De Bouard, A.1    Saut, J.C.2
  • 7
    • 0013379365 scopus 로고    scopus 로고
    • Fourier Analysis
    • Providence, RI: American Mathematical Society
    • Duoandikoetxea J. Fourier Analysis. Graduate Studies in Mathematics. vol. 29:2001;American Mathematical Society, Providence, RI.
    • (2001) Graduate Studies in Mathematics , vol.29
    • Duoandikoetxea, J.1
  • 8
    • 0345492045 scopus 로고    scopus 로고
    • From Ginzburg-Landau to Gross-Pitaevskii
    • Farina A. From Ginzburg-Landau to Gross-Pitaevskii. Monatsh. Math. 139:(4):2003;265-269.
    • (2003) Monatsh. Math. , vol.139 , Issue.4 , pp. 265-269
    • Farina, A.1
  • 9
    • 0038106196 scopus 로고    scopus 로고
    • Limit at infinity for the travelling waves in the Gross-Pitaevskii equation
    • Gravejat P. Limit at infinity for the travelling waves in the Gross-Pitaevskii equation. C. R. Math. Acad. Sci. Paris. 336:(2):2003;147-152.
    • (2003) C. R. Math. Acad. Sci. Paris , vol.336 , Issue.2 , pp. 147-152
    • Gravejat, P.1
  • 10
    • 84995339410 scopus 로고    scopus 로고
    • A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation
    • in press
    • P. Gravejat, A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation, Comm. Math. Phys., in press.
    • Comm. Math. Phys.
    • Gravejat, P.1
  • 11
    • 36149046137 scopus 로고
    • Motions in a Bose condensate IV, Axisymmetric solitary waves
    • Jones C.A., Roberts P.H. Motions in a Bose condensate IV, Axisymmetric solitary waves. J. Phys. A. Math. Gen. 15:1982;2599-2619.
    • (1982) J. Phys. A. Math. Gen. , vol.15 , pp. 2599-2619
    • Jones, C.A.1    Roberts, P.H.2
  • 12
    • 0005688260 scopus 로고
    • Multipliers of Fourier integrals
    • Lizorkin P.I. Multipliers of Fourier integrals. Proc. Steklov Inst. Math. 89:1967;269-290.
    • (1967) Proc. Steklov Inst. Math. , vol.89 , pp. 269-290
    • Lizorkin, P.I.1
  • 14
    • 0038523543 scopus 로고    scopus 로고
    • Analyticity and decay properties of the solitary waves to the Benney-Luke equation
    • Maris M. Analyticity and decay properties of the solitary waves to the Benney-Luke equation. Differential Integral Equations. 14:(3):2001;361-384.
    • (2001) Differential Integral Equations , vol.14 , Issue.3 , pp. 361-384
    • Maris, M.1
  • 15
    • 0003198381 scopus 로고
    • New Thoughts on Besov Spaces
    • Durham, NC: Mathematics Department, Duke University
    • Peetre J. New Thoughts on Besov Spaces. Duke University Mathematics Series. vol. 1:1976;Mathematics Department, Duke University, Durham, NC.
    • (1976) Duke University Mathematics Series , vol.1
    • Peetre, J.1
  • 17
    • 0003263410 scopus 로고
    • Introduction to fourier analysis on euclidean spaces
    • Princeton, NJ: Princeton University Press
    • Stein E.M., Weiss G. Introduction to Fourier Analysis on Euclidean Spaces. Princeton Mathematical Series. vol. 32:1971;Princeton University Press, Princeton, NJ.
    • (1971) Princeton Mathematical Series , vol.32
    • Stein, E.M.1    Weiss, G.2
  • 18
    • 0003295738 scopus 로고
    • Theory of function spaces
    • Basel: Birkhäuser Verlag
    • Triebel H. Theory of Function Spaces. Monographs in Mathematics. vol. 78:1983;Birkhäuser Verlag, Basel.
    • (1983) Monographs in Mathematics , vol.78
    • Triebel, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.