A convergence result for an iterative method for the equations of a stationary quasi-newtonian flow with temperature dependent viscosity

Mathematical Modelling and Numerical Analysis

Volumn 32, Issue 4, 1998, Pages 391-404

  Wardi, S ^a  

^a SIDI MOHAMED BEN ABDELLAH UNIVERSITY   (Morocco)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032392801     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an/1998320403911     Document Type: Article

References (13)

1. R. A. ADAMS, Sobolev Spaces, Academic press (1975).
2. P. AVENAS, J. F. AGASSANT, J. SERGENT, La mise en forme des matières plastiques, Lavoisier (1982).
3. J. BARANGER, A. MIKELIC, Stationary solutions to a quasi-Newtonian flow with viscous heating, Mathematical Models and Methods in applied Sciences, vol. 5-N, pp. 725-738 (1995).
4. G. CIMATTI, The stationary thermistor problem with a current limiting device, Proc. Royal. Soc. Edinburgh, Sect. A, 116 (1990), pp. 79-84.
5. R. DAUTRAY, J. L. LIONS, Analyse mathématique et calcul numérique pour les sciences et les techniques, vol. 2, "L'opérateur de Laplace", Masson (1987).
6. D. GILBARG, N. S. TRUDINGER, Elliptic Partial Differential Equations of Second Order, Springer (1983).
7. S. D. HOWISON, J. F. RODRIGUES, M. SHILLOR, Stationary solutions to the Thermistor problem, Journal Math. Anal. Appl., 174 (1993), pp. 573-588.
8. O. A. LADYZENSKAYA, N. N. URAL'CEVA, Equations aux dérivées partielles de type elliptique, Dunod, Paris (1968).
9. J. L. LIONS, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Gauthier-Villard, Paris (1969).
10. J. L. LIONS, E. MAGENES, Problemi ai limiti non omogenei, Ann. Sc. Norm. Sup. Pisa, 15 (1961), 39-110.
11. p-estimate for the gradient of solutions of the second order elliptic divergence equations, Ann. Sc. Norm. Sup. Pisa, 17 (1963), pp. 189-206.
12. R. TEMAM, Navier-Stokes equations, North-Holland (1979).
13. V. V. ZHIKOV, S. SIAN LIN FAN, On some variational problems, Prepulication of Pedacogical University of Vladimir, Russia (1995).