Table of Contents
ISRN Applied Mathematics
Volume 2011 (2011), Article ID 627318, 9 pages
http://dx.doi.org/10.5402/2011/627318
Research Article

Study of Viscoplastic Flows Governed by the Norton-Hoff Operator

1Department of Mathematics, Science College, King Khalid University, P.O. Box 418, Abha 61431, Saudi Arabia
2ACPDE, University of Monastir, Monastir 5019, Tunisia

Received 9 March 2011; Accepted 24 April 2011

Academic Editors: B. Birnir and G. Wang

Copyright © 2011 J. Ferchichi and I. Gaied. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. F. H. Norton, The Creep of Steel at Hight Temperature, The McGraw-Hill, New York, NY, USA, 1929.
  2. N. J. Hoff, “Approximate analysis of structures in the presence of moderately large creep deformations,” Quarterly of Applied Mathematics, vol. 12, pp. 49–55, 1954. View at Google Scholar
  3. M. Daignieres, M. Fremon, and A. Friaa, “Modèle de type Norton-Hoff généralisé pour l'étude des déformation lithosphériques,” Comptes Rendus de l'Académie des Sciences. Série B, vol. 18, p. 371, 1978. View at Google Scholar
  4. R. Temam, “A generalized Norton-Hoff model and the Prandtl-Reuss law of plasticity,” Archive for Rational Mechanics and Analysis, vol. 95, no. 2, pp. 137–183, 1986. View at Publisher · View at Google Scholar · View at MathSciNet
  5. J. Ferchichi and J. Zolésio, “Identification of a free boundary in Norton-Hoff flows with thermal effects,” Journal of Computational and Applied Mathematics, vol. 220, no. 1-2, 2008. View at Google Scholar
  6. G. Geymonat and P. Suquet, “Functional spaces for Norton-Hoff materials,” Mathematical Methods in the Applied Sciences, vol. 8, no. 2, pp. 206–222, 1986. View at Publisher · View at Google Scholar · View at MathSciNet
  7. D. Orstein, “A non-inequality for differential operators in the L1-norm,” Archive for Rational Mechanics and Analysis, pp. 40–49, 1962. View at Google Scholar
  8. H. Brezis, Analyse Fonctionnelle: Théorie et Applications, Collection Mathématiques Appliquées, Masson, Paris, France, 1983.
  9. E. Ekeland and R. Temam, Analyse Convexe et Problémes Variationnels, Etudes Mathématiques, Dunod, Paris, France, 1974.