Variational model of sandpile growth

European Journal of Applied Mathematics

Volumn 7, Issue 3, 1996, Pages 225-235

  Prigozhin, Leonid ^a,b  

^a WEIZMANN INSTITUTE OF SCIENCE   (Israel)

^b UNIVERSITY OF FLORENCE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030488764     PISSN: 09567925     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0956792500002321     Document Type: Article

References (15)

1. BAK, P. & CHEN, K. 1991 Self-organized criticality. Scientific American 264, January, 26-33.
2. BAK, P., TANG, C. & WIESBNFFXD, K. 1988 Self-organized criticality. Phys. Rev. A 38, 364-374.
3. PUHL, H. 1992 On the modelling of real sand piles. Physica A 182, 295-308.
4. LEHENY, R. L. & NAGEL, S. R. 1993 Model for the evolution of river networks. Phys. Rev. Lett. 71, 1470-1475.
5. PAN, W. & DONIACH, S. 1994 Effect of self-organized criticality on magnetic-flux creep in type-II superconductors: a time-delayed approach. Phys. Rev. B 49, 1192-1199.
6. LU, E. T. et al. 1993 Solar flares and avalanches in driven dissipative systems. Astrophys. J. 412, 841-852.
7. PRIGOZHIN, L. 1986 Quasivariational inequality describing the shape of a poured pile. Zh. Vychisl. Mat. Mat. Fiz. 26, 1072-1080 (in Russian).
8. PRIGOZHIN, L. 1993 A variational problem of bulk solids mechanics and free-surface segregation. Chem. Eng. Sci. 48, 3647-3656.
9. PRIGOZHIN, L. 1994 Sandpiles and river networks: extended systems with nonlocal interactions. Phys. Rev. E 49, 1161-1167.
10. PRIGOZHIN, L. 1996 On the Bean critical-state model in superconductivity. Euro. J. Applied Math. 7, 237-247.
11. EKELAND, I. & TEMAM, R. 1976 Convex Analysis and Variational Problems, North-Holland.
12. KANTOROVICH, L. V. & AKILOV, G. P. 1984 Functional Analysis, Nauka, Moscow.
13. LIONS, J. L. 1969 Quelques Méthodes de Résolution des Problems aux Limites non Linéaries, Dunod, Paris.
14. BARBU, V. 1976 Nonlinear Semigroups and Differential Equations in Banach Spaces, Ed. Academiei, Bucureşti.
15. BAIOCCHI, M. & CAPELO, A. 1984 Variational and Quasivariational Inequalities, Wiley.