메뉴 건너뛰기




Volumn 5, Issue 1, 1997, Pages 121-198

Gradient Flow of the Superconducting Ginzburg-Landau Functional on the plane

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0000256009     PISSN: 10198385     EISSN: None     Source Type: Journal    
DOI: 10.4310/CAG.1997.v5.n1.a3     Document Type: Article
Times cited : (20)

References (40)
  • 1
    • 84974307130 scopus 로고
    • Vortex Annihilation in Nonlinear Heat Flow for Ginzburg-Landau Systems
    • P. Bauman and C-N. Chen and D. Phillips and P. Sternberg (1995), Vortex Annihilation in Nonlinear Heat Flow for Ginzburg-Landau Systems, Euro. J. Appl. Math., 6, 115-126.
    • (1995) Euro. J. Appl. Math. , vol.6 , pp. 115-126
    • Bauman, P.1    Chen, C.-N.2    Phillips, D.3    Sternberg, P.4
  • 2
    • 0002547774 scopus 로고
    • Density of smooth functions between two manifolds in Sobolev spaces
    • F. Bethuel and X. Zheng (1988), Density of smooth functions between two manifolds in Sobolev spaces, J. Funct. Anal., 80, 60-75.
    • (1988) J. Funct. Anal. , vol.80 , pp. 60-75
    • Bethuel, F.1    Zheng, X.2
  • 4
    • 84974398973 scopus 로고
    • Zeros of complex Ginzburg-Landau order parameter with applications to superconductivity
    • C. Elliott and H. Matano and T. Qi (1994), Zeros of complex Ginzburg-Landau order parameter with applications to superconductivity. Euro. J. Appl. Math., 5, 431-448.
    • (1994) Euro. J. Appl. Math. , vol.5 , pp. 431-448
    • Elliott, C.1    Matano, H.2    Qi, T.3
  • 5
    • 0000067561 scopus 로고
    • Macroscopic Models for Superconductivity
    • S. Chapman, S. Howison and J. Ockendon (1992), Macroscopic Models for Superconductivity, SIAM Review, 34(4), 529-560.
    • (1992) SIAM Review , vol.34 , Issue.4 , pp. 529-560
    • Chapman, S.1    Howison, S.2    Ockendon, J.3
  • 6
    • 0001251079 scopus 로고
    • Symmetric Vortices for the Ginzberg-Landau Equations of superconductivity and the nonlinear desingularisation phenomenon
    • M. Berger and Y. Chen (1989), Symmetric Vortices for the Ginzberg-Landau Equations of superconductivity and the nonlinear desingularisation phenomenon. J. Functional Analysis, 82, 259-295.
    • (1989) J. Functional Analysis , vol.82 , pp. 259-295
    • Berger, M.1    Chen, Y.2
  • 7
    • 0002555899 scopus 로고
    • Convergence in gradient-like systems with applications to PDE
    • J. Hale and G. Raugel (1992), Convergence in gradient-like systems with applications to PDE, ZAMP, 43,1, 63-124.
    • (1992) ZAMP , vol.43 , Issue.1 , pp. 63-124
    • Hale, J.1    Raugel, G.2
  • 9
    • 0000640077 scopus 로고
    • Stability of Classical Solutions, Sov
    • E.B. Bogomol'nyi (1976), Stability of Classical Solutions, Sov. Journal of Nuclear Physics, 24, 861-870.
    • (1976) Journal of Nuclear Physics , vol.24 , pp. 861-870
    • Bogomol'nyi, E.B.1
  • 10
    • 0026838281 scopus 로고
    • Analysis and Approximation of the Ginzburg-Landau model of Super conductivity
    • Q. Du and M. Gunzburger and J. Peterson (1992), Analysis and Approximation of the Ginzburg-Landau model of Super conductivity, Siam Review, 34, 45-81.
    • (1992) Siam Review , vol.34 , pp. 45-81
    • Du, Q.1    Gunzburger, M.2    Peterson, J.3
  • 16
    • 0000872141 scopus 로고
    • The Ricci Flow on Surfaces, Mathematics and General Relativity
    • Birkhauser, Basel, ed. J. Isenberg
    • R. Hamilton (1988), The Ricci Flow on Surfaces, Mathematics and General Relativity, Contemp. Math. Vol. 71, Birkhauser, Basel, ed. J. Isenberg.
    • (1988) Contemp. Math. , vol.71
    • Hamilton, R.1
  • 21
    • 51249164496 scopus 로고
    • Perturbation Theory for nullity, deficiency and other quantities of linear operators
    • T. Kato (1958), Perturbation Theory for nullity, deficiency and other quantities of linear operators, J. d'Analyse Math., 6, 261-322.
    • (1958) J. D'Analyse Math. , vol.6 , pp. 261-322
    • Kato, T.1
  • 23
    • 0000416010 scopus 로고
    • Interaction of superconducting vortices
    • L. Jacobs and C. Rebbi (1979), Interaction of superconducting vortices, Physical review B, 19, 4486-4494.
    • (1979) Physical Review B , vol.19 , pp. 4486-4494
    • Jacobs, L.1    Rebbi, C.2
  • 25
    • 0039270341 scopus 로고    scopus 로고
    • Some dynamical properties of Ginzburg-Landau Vortices
    • F. H. Lin (1996), Some dynamical properties of Ginzburg-Landau Vortices, Commun. Pure Appl. Math., XLIX,4, 323-364.
    • (1996) Commun. Pure Appl. Math. , vol.49 , Issue.4 , pp. 323-364
    • Lin, F.H.1
  • 27
    • 49049136281 scopus 로고
    • A remark on scattering of BPS monopoles
    • N. Manton (1982), A remark on scattering of BPS monopoles, Physics Letters, 110B, 54-56.
    • (1982) Physics Letters , vol.110 B , pp. 54-56
    • Manton, N.1
  • 29
    • 0001046466 scopus 로고
    • On the Yang-Mills Heat Equation in Two and Three Dimensions
    • J. Rade (1992), On the Yang-Mills Heat Equation in Two and Three Dimensions, J. reine angew. Math., 431, 123-163.
    • (1992) J. Reine Angew. Math. , vol.431 , pp. 123-163
    • Rade, J.1
  • 30
    • 84980088722 scopus 로고
    • A strong maximum principle for parabolic equations
    • L. Nirenberg (1953), A strong maximum principle for parabolic equations, CPAM, 6, 167-177.
    • (1953) CPAM , vol.6 , pp. 167-177
    • Nirenberg, L.1
  • 32
    • 0001759725 scopus 로고
    • On the stability of radial solutions of the Ginzburg-Landau equation
    • P. Mironescu (1995), On the stability of radial solutions of the Ginzburg-Landau equation, J . Funct. Anal., 130, 334-344.
    • (1995) J . Funct. Anal. , vol.130 , pp. 334-344
    • Mironescu, P.1
  • 33
    • 0001756686 scopus 로고
    • Symmetry of the Ginzburg-Landau minimiser
    • E. Lieb and M. Loss (1994), Symmetry of the Ginzburg-Landau minimiser, Math. Res. Lett., 1, 701-715.
    • (1994) Math. Res. Lett. , vol.1 , pp. 701-715
    • Lieb, E.1    Loss, M.2
  • 34
    • 0000559062 scopus 로고
    • Vortex scattering
    • T. Samols (1992), Vortex scattering, Commun. Math. Phys., 145, 149-180.
    • (1992) Commun. Math. Phys. , vol.145 , pp. 149-180
    • Samols, T.1
  • 35
    • 85033137860 scopus 로고    scopus 로고
    • Vortex Scattering at Near Critical Coupling
    • P. Shah, Vortex Scattering at Near Critical Coupling, To appear in Nuclear Physics B.
    • Nuclear Physics B
    • Shah, P.1
  • 36
    • 0000137102 scopus 로고
    • Asymptotics for a Class of Evolution Equations, with Applications to Geometric Problems
    • L. Simon (1983), Asymptotics for a Class of Evolution Equations, with Applications to Geometric Problems, Ann. Math., 118, 525-571.
    • (1983) Ann. Math. , vol.118 , pp. 525-571
    • Simon, L.1
  • 37
    • 21344493787 scopus 로고
    • Dynamics of Abelian Higgs vortices in the near Bogomolny regime
    • D. Stuart (1994), Dynamics of Abelian Higgs vortices in the near Bogomolny regime, Commun. Math. Phys., 159, 51-91.
    • (1994) Commun. Math. Phys. , vol.159 , pp. 51-91
    • Stuart, D.1
  • 38
    • 0000088043 scopus 로고
    • The Geodesic Approximation for the Yang-Mills-Higgs equations
    • D. Stuart (1994), The Geodesic Approximation for the Yang-Mills-Higgs equations, Commun. Math. Phys., 166, 149-191.
    • (1994) Commun. Math. Phys. , vol.166 , pp. 149-191
    • Stuart, D.1
  • 39
    • 0011044638 scopus 로고    scopus 로고
    • Interaction of Superconducting Vortices and Asymptotics of Ginzburg-Landau FlowW
    • D. Stuart (1996), Interaction of Superconducting Vortices and Asymptotics of Ginzburg-Landau FlowW, Appl. Math. Lett., 9,5, 27-33.
    • (1996) Appl. Math. Lett. , vol.9 , Issue.5 , pp. 27-33
    • Stuart, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.