Publication Cover
Applicable Analysis
An International Journal
Volume 53, 1994 - Issue 1-2
188
Views
92
CrossRef citations to date
0
Altmetric
Original Articles

Global existence and uniqueness of solutions of the time-dependent ginzburg-landau model for superconductivity

Pages 1-17 | Received 12 Jan 1993, Published online: 02 May 2007

References

  • Gor'kov , L. 1959 . English Translation: Soviet Phys. Jetp . Zh. Eksperim. I Teor. Fiz. , 36 : 1918 – 1923 .
  • Abrisokov , A. 1957 . English translation: Soviet Phys. JETP, . Zh. Eksperim. I Teor. Fiz., , 32 : 1442 – 1452 .
  • Carroli , R. 1964 . Arch. Rat. Mech. Anal., , 16 : 373 – 384 .
  • Oder , F. 1967 . J. Math. Phys., , 8 : 2351 – 2356 .
  • Weionberger , E. 1980 . Physical Review D, , 19 : 277 – 292 .
  • Taubes , E. 1980 . ~Commun.Math.Phy., . 72 : 277 – 292 .
  • Klimov , V. 1982 . English translation: Theor. Math. Phys., . Teoret. Math. Fiz., , 50 : 383 – 389 .
  • Berger , M. 1989 . J. Func, Anal., , 82 : 259 – 295 .
  • Yang, , Y. 1990 . Proc. Royal Soc. Edingburg, , 114 : 355 – 365 .
  • Chapman , S. , Howison , S. and Mcleod , J. 1991 . Proc. Royal Soc. Edingburg, , 119 : 117 – 124 .
  • Du , Q. , Gunzburger , M. and Peterson , J. 1992 . Siam Review , 34 ( 1 ) : 54 – 81 .
  • Du , Q. , Gunzburger , M. and Peterson , J. Modeling and analysis of a periodic Ginzburg–Landau model for type-II supercondutors . to appear in Siam Applied Math. ,
  • Du. Q. Gunzaurcer M. Peterson J. Finite element approxemation of perodic Ginzburg-Landau model for type–II superconductors Numer. Math.
  • Goulbistsky M. Barany E. Turski J. Bifurcations with local gauge summetries in the Ginzburg-landau equatios to appear in Physica D
  • Chapman S. Howison S. Ockendon J. Macrosopic models of superconductity to appear in Siam Review.
  • Gor'kov , L. and Barany , G. 1968 . Soviet Phys.–Jetp, , 27 : 328 – 334 .
  • Eliashberg , G. 1969 . Soviet Phys.,–Jetp, , 28 : 1298 – 1302 .
  • Tinkham , M. 1975 . Introduction to Superconductivity , New York : McGraw-Hill .
  • Frahm , H. , Ullah , S. and Dorsey , A. 1991 . Phys. Rev. Letters , 66 : 3067 – 3072 .
  • Liu , F. , Mondello , M. and Goldenfeld , N. 1991 . Phys. Rev. Lett., , 66 : 3071 – 3074 .
  • Hu , C. 1972 . Phys. Rev. B , 6 : 110 – 120 .
  • Chapman , S. 1992 . “ Macroscopic models of superconductivity ” . In Ph.D thesis , Oxford University .
  • Abriskov , A. 1988 . “ Fundamentals of the theory of metals ” . North-Holland
  • Adams , R. 1975 . “ Sobolev Spaces ” . Academic .
  • Girault , V. and Raviart , P. 1986 . “ Finite Element Methods for Navier-Stokes Equations, theory and algorithm ” . Berlin : Springer-Verlag .
  • Georgescu , V. 1979 . Annali di Malematica pura ed. Applicata, , 122 ( 4 ) : 159 – 198 .
  • Du. Q. to appear in Proceedings of the first international congress of nonlinear analysts.
  • Temam , R. 1984 . “ Navier-Stokes Equations ” . In Theory and Numerical Analysis North-Holland
  • Lions , J. 1969 . “ Quelques methodes de resolution des problems auxlimites non lineaires ” . Paris : Dunrod .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.