Vortices in superconductors: Modelling and computer simulations

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 355, Issue 1731, 1997, Pages 1957-1968

  Deang, Jennifer ^a   Du, Qiang ^b   Gunzburger, Max ^b   Peterson, Janet ^b  

^a VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

^b IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3042928453     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.1997.0098     Document Type: Article

References (9)

1. Chapman, S. J., Du, Q. & Gunzburger, M. 1995a A Ginzburg-Landau type model of superconducting/normal junctions including Josephson junctions. Europ. Jl Appl. Math. 6, 97-114.
2. Chapman, S. J., Du, Q. & Gunzburger, M. 1995b On the Lawrence-Doniach and anisotropic Ginzburg-Landau models for layered superconductors. SIAM Jl Appl. Math. 55, 156-174.
3. Chapman, S. J., Du, Q. & Gunzburger, M. 1996 A model for variable thickness superconducting thin films. J. Appl. Math. Phys. 47, 410-431.
4. De Gennes, P. 1966 Superconductivity in metals and alloys. New York: Benjamin.
5. Du, Q. 1994a Global existence and uniqueness of solutions of the time-dependent Ginzburg-Landau model for superconductivity. Applicable Analys. 52, 1-17.
6. Du, Q. 1994b Finite element methods for the time-dependent Ginzburg-Landau model of superconductivity. Comp. Math. Appl. 27, 119-133.
7. Gor'kov, L. & Éliashberg, G. 1968 Generalization of the Ginzburg-Landau equations for non-stationary problems in the case of alloys with paramagnetic impurities. Sov. Phys. JETP 27, 328-334.
8. Hohenberg, P. & Halperin, B. 1977 Theory of dynamic critical phenomena. Rev. Mod. Phys. 49, 435-479.
9. Tinkham, M. 1975 Introduction to superconductivity. New York: McGraw-Hill.