Optimal bounds on electric-field fluctuations for random composites

Journal of Applied Physics

Volumn 88, Issue 7, 2000, Pages 4287-4293

  Lipton, Robert ^a  

^a Worcester Polytechnic Institute   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000576813     PISSN: 00218979     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1290734     Document Type: Article

References (13)

1. R. Lipton, Worcester Polytechnic Institute Technical Report No. MS-02-00-05 (2000), SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. (submitted).
2. R. Lipton, Worcester Polytechnic Institute Technical Report No. MS-02-00-05 (2000), SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. (submitted).
3. J. R. Willis, in Mechanics of Solids, edited by H. G. Hopkins and M. J. Sewel (Pergamon, Oxford, 1982), p. 653.
4. R. V. Kohn and G. W. Milton, in Homogenization and Effective Moduli of Materials and Media, edited by J. L. Ericksen, D. Kinderlehrer, R. Kohn, and J. L. Lions (Springer, New York, 1986), p. 97.
5. M. J. Beran, J. Appl. Phys. 39, 5712 (1968).
6. M. J. Beran, J. Math. Phys. 21, 2583 (1980).
7. D. J. Bergman, Phys. Rep. 43, 377 (1978).
8. K. Golden and G. Papanicolaou, Commun. Math. Phys. 90, 473 (1983).
9. Y. Kantor and D. J. Bergman, J. Mech. Phys. Solids 30, 355 (1982).
10. M. G. Krein and A. A. Nudel'man, The Markov Moment Problem and Extremal Problems (American Mathematical Society, Providence, RI, 1977), Vol. 50.
11. F. Murat and L. Tartar, Les Méthodes de l'Homogénéisation: Théorie et Applications en Physique (Eyrolles, Paris, 1985), Vol. 57, p. 319.
12. M. Briane, Adv. Math. Sci. Applic. 4, 357 (1994).
13. L. Tartar, in Ennio Degiorgi's Colloquium, edited by P. Kree (Pittman, London, U.K., 1985), Vol. 125, p. 168.