On the Bean critical-state model in superconductivity

European Journal of Applied Mathematics

Volumn 7, Issue 3, 1996, Pages 237-247

  Prigozhin, L ^a,b,c  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c WEIZMANN INSTITUTE OF SCIENCE   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030488765     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0956792500002333     Document Type: Article

References (16)

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5. KIM, Y. B., HEMPSTEAD, C. F. & STRNAD, A. R. 1962 Critical persistent currents in hard superconductors. Phys. Rev. Lett. 9, 306-309.
6. WANG, J. & SAYER, M. 1993 Critical current models and shielding of high temperature superconductors. Physica C 212, 395-406.
7. DAUTRAY, R. & LIONS, J. L. 1990 Mathematical Analysis and Numerical Methods for Science and Technology, v. 3. Springer-Verlag.
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9. EKELAND, I. & TEMAM, R. 1976 Convex Analysis and Variational Problems. Elsevier.
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11. BARBU, V. 1976 Nonlinear Semigroups and Differential Equations in Banach Spaces. Ed. Academiei, Bucuresti.
12. GLOWINSKI, R., LIONS, J. L. & TRÉMOLIÉRS, R. 1976 Analyse Numérique des Inéquations Variationnelles. Dunod, Paris.
13. PRIGOZHIN, L. 1996 The Bean model: variational formulation and numerical solution. J. Comp. Phys. (submitted).
14. BAK, P. & CHEN, K. 1991 Self-organized criticality. Sci. Am. 264, January, 26-33.
15. BAK, P., TANG, C. & WIESENFELD, K. 1988 Self-organized criticality. Phys. Rev. A 38, 364-374.
16. PRIGOZHIN, L. 1994 Sandpiles and river networks: extended systems with nonlocal interactions. Phys. Rev. E 49, 1161-1167.