38
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

optimal control of dynamical ginzburg—landau vortices in superconductivity

&
Pages 241-258 | Published online: 15 May 2007

References

  • Barbu , V. 1984 . “ Optimal Control of Variational Inequalities ” . In Pitman Research Notes in Mathematics , Boston : Pitman Publishing .
  • Chapman , S.J. , Howison , S.D. and Ockendon , J.R. 1992 . Macroscopic models for superconductivity , Vol. 34 , 529 – 560 . SIAM Review .
  • Chen Z Elliott CM Tang Q Justification of a two dimensional evolutionary Ginzburg-Landau superconductivity model 1994 to appear
  • Chen , Z. and Hoffmann , K—H . 1991 . “ Numerical solutions of the optimal control problem governed by a phase field model, in Control and Estimation of Distributed Parameter Systems ” . In International Series of Numerical Mathematics , Edited by: Deseh , W. , Kappel , F. and Kunisch , K. Vol. 100 , 79 – 97 . Basel : Birkhauser Verlag .
  • Chen , Z. and Hoffmann , K—H . 1995 . Numerical studies of a non—stationary Ginzburg—Landau model for superconductivity . Adv. Math. Sci. Appl , 5 : 363 – 389 .
  • Chen , Z. and Hoffmann , K—H. 1994 . Notes on Numerical Fluid Mechanics , Edited by: Griebel , M. and Zenger , C. Vol. 48 , 31 – 38 . Vieweg .
  • Chen , Z. , Hoffmann , K—H. and Liang , L. 1993 . On a non—stationary Ginzburg—Landau superconductivity model . Math. Meth. Appi. Sci , 16 : 855 – 875 .
  • Du Q. Global existence and uniqueness of solutions of the time—dependent Ginzburg—Landau model for superconductivity 1992 to appear in Applicable Analysis
  • Du Q. Gunzburger MD A model for superconducting thin films having variable thickness 1993 to appear
  • Du , Q. , Gunzburger , M.D. and Peterson , J.S. 1992 . Analysis and approximation of the Ginzburg— Landau model of superconductivity , Vol. 34 , 54 – 81 . SIAM Review .
  • Elliott C.M. Tang Q On a system of gauge invariant nonlinear partial differential equations with gauge periodic boundary conditions 1994 to appear
  • Gor'kov , L.P. and Éliashberg , G.M. 1968 . Generalization of the Ginzburg—Landau equations for non—stationary problems in the case of alloys with paramagnetic impurities . Soviet Phys.—JETP , 27 : 328 – 334 .
  • Girault , V. and Raviart , P–A. 1986 . Finite Element Methods for Navier—Stokes Equations , Springer—Verlag .
  • Ladyzhenskaya , O.A. , Solonnikov , V.A. and Uralceva , N.N. 1968 . Linear and Quasilinear Equations of Parabolic Type , American Mathematical Society, Providence .

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.