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Volumn 1, Issue 4, 2002, Pages 733-768

Vortex filament dynamics for gross-pitaevsky type equations

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EID: 27644480881     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (43)

References (20)
  • 1
    • 0040261320 scopus 로고
    • Optimal isoperimetric inequalities
    • F. Almgren, Optimal isoperimetric inequalities, Indiana Univ. Math. J. 35 (1986), no. 3, 451-547.
    • (1986) Indiana Univ. Math. J. , vol.35 , Issue.3 , pp. 451-547
    • Almgren, F.1
  • 2
    • 0002157990 scopus 로고    scopus 로고
    • A measure theoretic approach to higher codimension mean curvature flow
    • L. Ambrosio - H. M. Soner, A measure theoretic approach to higher codimension mean curvature flow, Ann. Scuola Norm. Sup. Pisa Cl. Sci (4) 25 (1997), 27-48.
    • (1997) Ann. Scuola Norm. Sup. Pisa Cl. Sci , vol.25 , Issue.4 , pp. 27-48
    • Ambrosio, L.1    Soner, H.M.2
  • 3
    • 0037836463 scopus 로고    scopus 로고
    • Travelling waves for the Gross-Pitaevsky equation i
    • F. Bethuel - J.-C. Saut, Travelling waves for the Gross-Pitaevsky equation i, Ann. Inst. H. Poincaré Phys. Théor. 70 (1999), no. 2, 147-238.
    • (1999) Ann. Inst. H. Poincaré Phys. Théor. , vol.70 , Issue.2 , pp. 147-238
    • Bethuel, F.1    Saut, J.-C.2
  • 4
    • 1842740745 scopus 로고    scopus 로고
    • Vortex dynamics for the Ginzburg-Landau-Schrödinger equation
    • d 1998
    • J. E. Colliander -d R. L. Jerrard, Vortex dynamics for the Ginzburg-Landau-Schrödinger equation, IMRN 1998 (1998), 333-358.
    • (1998) IMRN , pp. 333-358
    • Colliander, J.E.1    Jerrard, R.L.2
  • 5
    • 0033475315 scopus 로고    scopus 로고
    • Ginzburg-Landau vortices: Weak stability and Schrödinger equation dynamics
    • d
    • J. E. Colliander -d R. L. Jerrard, Ginzburg-Landau vortices: weak stability and Schrödinger equation dynamics, Journal d'Analyse Mathematique 77 (1999), 129-205.
    • (1999) Journal D'Analyse Mathematique , vol.77 , pp. 129-205
    • Colliander, J.E.1    Jerrard, R.L.2
  • 6
    • 43949154992 scopus 로고
    • Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity
    • W. E
    • W. E, Dynamics of vortices in Ginzburg-Landau theories with applications to superconductivity, Physica D 77 (1994), 383-404.
    • (1994) Physica D , vol.77 , pp. 383-404
  • 7
    • 36149020620 scopus 로고
    • Vortices in an imperfect Bose gas. I. The condensate
    • A. L. Fetter, Vortices in an Imperfect Bose Gas. I. the Condensate, Physical Review 138 (1965), no. 2A, A429-A437.
    • (1965) Physical Review , vol.138 , Issue.2 , pp. A429-A437
    • Fetter, A.L.1
  • 8
    • 0003605883 scopus 로고    scopus 로고
    • Cartesian currents in the calculus of variations
    • Springer-Verlag
    • M. Giaquinta - G. Modica - J. Souček, “Cartesian currents in the calculus of variations. I. Cartesian currents”, Springer-Verlag, 1998.
    • (1998) I. Cartesian Currents
    • Giaquinta, M.1    Modica, G.2    Souček, J.3
  • 11
    • 0033569289 scopus 로고    scopus 로고
    • Rectifiability of the distributional Jacobian for a class of functions
    • R. L. Jerrard - H. M. Soner, Rectifiability of the distributional Jacobian for a class of functions, C.R. Acad. Sci. Paris, Série I 329 (1999), 683-688.
    • (1999) C.R. Acad. Sci. Paris, Série I , vol.329 , pp. 683-688
    • Jerrard, R.L.1    Soner, H.M.2
  • 12
    • 0013027307 scopus 로고    scopus 로고
    • Scaling limits and regularity results for a class of Ginzburg-Landau systems
    • R. L. Jerrard - H. M. Soner, Scaling limits and regularity results for a class of Ginzburg-Landau systems, Ann. Inst. H. Poincaré Anal. Non Linéaire 16 (1999), no. 4, 423-466.
    • (1999) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.16 , Issue.4 , pp. 423-466
    • Jerrard, R.L.1    Soner, H.M.2
  • 13
    • 0032398933 scopus 로고    scopus 로고
    • Complex ginzburg-Landau equations and dynamics of vortices, filaments, and codimension 2 submanifolds
    • F. H. Lin, Complex Ginzburg-Landau equations and dynamics of vortices, filaments, and codimension 2 submanifolds, Comm. Pure Appl. Math. 51 (1998), no. 4, 385-441.
    • (1998) Comm. Pure Appl. Math. , vol.51 , Issue.4 , pp. 385-441
    • Lin, F.H.1
  • 14
    • 0033248349 scopus 로고    scopus 로고
    • On the incompressible fluid limit and the vortex law of motion of the nonlinear Schrödinger equation
    • F. H. Lin - J. X. Xin, On the incompressible fluid limit and the vortex law of motion of the nonlinear Schrödinger equation, Comm. Math. Phys. 200 (1999), 249-274.
    • (1999) Comm. Math. Phys. , vol.200 , pp. 249-274
    • Lin, F.H.1    Xin, J.X.2
  • 15
    • 0000873296 scopus 로고    scopus 로고
    • On the stability of the radial solution to the Ginzburg-Landau equation
    • T. C. Lin, On the stability of the radial solution to the Ginzburg-Landau equation, Comm. Partial Differential Equations 22 (1997), no. 3-4, 619-632.
    • (1997) Comm. Partial Differential Equations , vol.22 , Issue.3-4 , pp. 619-632
    • Lin, T.C.1
  • 16
    • 0033688247 scopus 로고    scopus 로고
    • Rigorous and generalized derivation of vortex line dynamics in superfluids and superconductors
    • T. C. Lin, Rigorous and generalized derivation of vortex line dynamics in superfluids and superconductors, SIAM J. Appl. Math. 60 (2000), no. 3, 1099-1110.
    • (2000) SIAM J. Appl. Math. , vol.60 , Issue.3 , pp. 1099-1110
    • Lin, T.C.1
  • 17
    • 0344822249 scopus 로고
    • Defect dynamics for the nonlinear Schrödinger equation derived from a variational principle
    • F. Lund, Defect dynamics for the nonlinear Schrödinger equation derived from a variational principle, Physics Letters A 159 (1991), 245-251.
    • (1991) Physics Letters A , vol.159 , pp. 245-251
    • Lund, F.1
  • 18
    • 0001329782 scopus 로고
    • Motion of vortex lines in the Ginzburg-Landau model
    • L. M. Pismen - J. Rubinstein, Motion of vortex lines in the Ginzburg-Landau model, Physica D 47 (1991), 353-360.
    • (1991) Physica D , vol.47 , pp. 353-360
    • Pismen, L.M.1    Rubinstein, J.2
  • 19
    • 0000618159 scopus 로고    scopus 로고
    • Lower bounds for the energy of unit vector fields and applications
    • E. Sandier, Lower bounds for the energy of unit vector fields and applications, J. Funct. Anal. 152 (1998), no. 2, 379-403.
    • (1998) J. Funct. Anal. , vol.152 , Issue.2 , pp. 379-403
    • Sandier, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.