메뉴 건너뛰기




Volumn 6, Issue , 2001, Pages 201-238

On a model of rotating superfluids

Author keywords

Gross Pitaevskii equations; Superfluids; Vortices

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; HAMILTONIANS; LAGRANGE MULTIPLIERS; NONLINEAR EQUATIONS; OPTIMIZATION; SUPERCONDUCTIVITY; SUPERFLUID HELIUM; VECTORS; VORTEX FLOW;

EID: 0035690671     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2001108     Document Type: Article
Times cited : (29)

References (24)
  • 1
    • 0031624104 scopus 로고    scopus 로고
    • Topological Methods for the Ginzburg-Landau Equations
    • L. Almeida and F. Bethuel, Topological Methods for the Ginzburg-Landau Equations. J. Math. Pures Appl. 77 (1998) 1-49.
    • (1998) J. Math. Pures Appl. , vol.77 , pp. 1-49
    • Almeida, L.1    Bethuel, F.2
  • 2
    • 84996130271 scopus 로고    scopus 로고
    • (in preparation.)
    • A. Aftalion (in preparation.)
    • Aftalion, A.1
  • 3
    • 84996132928 scopus 로고    scopus 로고
    • Pinning Phenomena in the Ginzburg-Landau Model of Superconductivity
    • (to appear)
    • A. Aftalion, E. Sandier and S. Serfaty, Pinning Phenomena in the Ginzburg-Landau Model of Superconductivity. J. Math. Pures Appl. (to appear).
    • J. Math. Pures Appl
    • Aftalion, A.1    Sandier, E.2    Serfaty, S.3
  • 4
    • 0040497537 scopus 로고    scopus 로고
    • Minimization of a Ginzburg-Landau type functional with nonvanishing Dirichlet boundary condition
    • N. Andre and I. Shafrir, Minimization of a Ginzburg-Landau type functional with nonvanishing Dirichlet boundary condition. Calc. Var. Partial Differential Equations (1998) 1-27.
    • (1998) Calc. Var. Partial Differential Equations , pp. 1-27
    • Andre, N.1    Shafrir, I.2
  • 6
    • 84996135396 scopus 로고    scopus 로고
    • Distribution of vortices in a type-II superconductor as a free boundary problem: Existence andregularity via Nash-Moser theory
    • A. Bonnet and R. Monneau, Distribution of vortices in a type-II superconductor as a free boundary problem: Existence and regularity via Nash-Moser theory. Interfaces Free Bound. 2 (2000) 181-200.
    • (2000) Interfaces Free Bound , vol.2 , pp. 181-200
    • Bonnet, A.1    Monneau, R.2
  • 7
    • 46149141759 scopus 로고
    • Remarks on sublinear elliptic equations
    • H. Brezis and L. Oswald, Remarks on sublinear elliptic equations. Nonlinear Anal. 10 (1986) 55-64.
    • (1986) Nonlinear Anal , vol.10 , pp. 55-64
    • Brezis, H.1    Oswald, L.2
  • 8
    • 0001614996 scopus 로고    scopus 로고
    • Predicted signatures of rotating Bose-Einstein condensates
    • D.A. Butts and D.S. Rokhsar, Predicted signatures of rotating Bose-Einstein condensates. Nature 397 (1999) 327-329.
    • (1999) Nature , vol.397 , pp. 327-329
    • Butts, D.A.1    Rokhsar, D.S.2
  • 9
    • 0033473154 scopus 로고    scopus 로고
    • Bose-Einstein condensates with vortices in rotating traps
    • Y. Castin and R. Dum, Bose-Einstein condensates with vortices in rotating traps. Eur. Phys. J. D 7 (1999) 399-412.
    • (1999) Eur. Phys. J. D , vol.7 , pp. 399-412
    • Castin, Y.1    Dum, R.2
  • 10
    • 84996139420 scopus 로고
    • Vortices and Ions in Helium
    • edited by K.H. Bennemann and J.B. Keterson. John Wiley, Interscience
    • A. Fetter, Vortices and Ions in Helium, in The physics of liquid and solid helium, part I, edited by K.H. Bennemann and J.B. Keterson. John Wiley, Interscience, Interscience Monographs and Texts in Physics and Astronomy 30 (1976).
    • (1976) Interscience Monographs and Texts in Physics and Astronomy 30
    • Fetter, A.1
  • 11
    • 0033227615 scopus 로고    scopus 로고
    • On a Discrete Variational Problem Involving Interacting Particles
    • S. Gueron and I. Shafrir, On a Discrete Variational Problem Involving Interacting Particles. SIAM J. Appl. Math. 60 (2000) 1-17.
    • (2000) SIAM J. Appl. Math. , vol.60 , pp. 1-17
    • Gueron, S.1    Shafrir, I.2
  • 13
    • 0033478708 scopus 로고    scopus 로고
    • Ginzburg-Landau type energy with discontinuous constraint
    • L. Lassoued and P. Mironescu, Ginzburg-Landau type energy with discontinuous constraint. J. Anal. Math. 77 (1999) 1-26.
    • (1999) J. Anal. Math. , vol.77 , pp. 1-26
    • Lassoued, L.1    Mironescu, P.2
  • 14
    • 0000265293 scopus 로고
    • Minimizers and gradient flows for singularly perturbed bi-stable potentials with a Dirichlet condition
    • N. Owen, J. Rubinstein and P. Sternberg, Minimizers and gradient flows for singularly perturbed bi-stable potentials with a Dirichlet condition. Proc. Roy. Soc. London Ser. A 429 (1990) 503-532.
    • (1990) Proc. Roy. Soc. London Ser. A , vol.429 , pp. 503-532
    • Owen, N.1    Rubinstein, J.2    Sternberg, P.3
  • 16
    • 0242671787 scopus 로고    scopus 로고
    • Local Minimizers for the Ginzburg-Landau Energy near Critical Magnetic Field, Part I
    • S. Serfaty, Local Minimizers for the Ginzburg-Landau Energy near Critical Magnetic Field, Part I. Comm. Contemporary Math. 1 (1999) 213-254.
    • (1999) Comm. Contemporary Math. , vol.1 , pp. 213-254
    • Serfaty, S.1
  • 17
    • 0037915519 scopus 로고    scopus 로고
    • Local Minimizers for the Ginzburg-Landau Energy near Critical Magnetic Field, Part II
    • S. Serfaty, Local Minimizers for the Ginzburg-Landau Energy near Critical Magnetic Field, Part II. Comm. Contemporary Math. 1 (1999) 295-333.
    • (1999) Comm. Contemporary Math. , vol.1 , pp. 295-333
    • Serfaty, S.1
  • 18
    • 0033269549 scopus 로고    scopus 로고
    • Stable Configurations in Superconductivity: Uniqueness, Multiplicity and Vortex-Nucleation
    • S. Serfaty, Stable Configurations in Superconductivity: Uniqueness, Multiplicity and Vortex-Nucleation. Arch. Rational Mech. Anal. 149 (1999) 329-365.
    • (1999) Arch. Rational Mech. Anal. , vol.149 , pp. 329-365
    • Serfaty, S.1
  • 20
    • 0000469641 scopus 로고    scopus 로고
    • Global Minimizers for the Ginzburg-Landau Functional below the First Critical Magnetic Field
    • E. Sandier and S. Serfaty, Global Minimizers for the Ginzburg-Landau Functional below the First Critical Magnetic Field. Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000) 119-145.
    • (2000) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.17 , pp. 119-145
    • Sandier, E.1    Serfaty, S.2
  • 21
    • 0041957286 scopus 로고    scopus 로고
    • On the Energy of Type-II Superconductors in the Mixed Phase
    • (to appear)
    • E. Sandier and S. Serfaty, On the Energy of Type-II Superconductors in the Mixed Phase. Rev. Math. Phys. (to appear).
    • Rev. Math. Phys
    • Sandier, E.1    Serfaty, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.