On a two-dimensional magnetohydrodynamic problem. I. Modelling and analysis

J. Rappaz; R. Touzani

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1992)

  • Volume: 26, Issue: 2, page 347-364
  • ISSN: 0764-583X

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Rappaz, J., and Touzani, R.. "On a two-dimensional magnetohydrodynamic problem. I. Modelling and analysis." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 26.2 (1992): 347-364. <http://eudml.org/doc/193667>.

@article{Rappaz1992,
author = {Rappaz, J., Touzani, R.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {two-dimensional magnetohydrodynamic system; conducting fluid; existence of solutions; fixed point techniques; uniqueness},
language = {eng},
number = {2},
pages = {347-364},
publisher = {Dunod},
title = {On a two-dimensional magnetohydrodynamic problem. I. Modelling and analysis},
url = {http://eudml.org/doc/193667},
volume = {26},
year = {1992},
}

TY - JOUR
AU - Rappaz, J.
AU - Touzani, R.
TI - On a two-dimensional magnetohydrodynamic problem. I. Modelling and analysis
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1992
PB - Dunod
VL - 26
IS - 2
SP - 347
EP - 364
LA - eng
KW - two-dimensional magnetohydrodynamic system; conducting fluid; existence of solutions; fixed point techniques; uniqueness
UR - http://eudml.org/doc/193667
ER -

References

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  1. [1] O. BESSON, J. BOURGEOIS, P. A. CHEVALIER, J. RAPPAZ, R. TOUZANI, Numerical modelling of electromagnetic casting processes, J. Comput. Phys., Vol. 92, No. 2 (1991) 482-507. Zbl0721.65076MR1094260
  2. [2] J. BOURGEOIS, P. A. CHEVALIER, M. PICASSO, J. RAPPAZ, R. TOUZANI, An MHD problem in the Aluminium industry, Proceedings of the 7th International Conference on Finite Elements in Flow Problems, Huntsville, Alabama (1989). 
  3. [3] M. CROUZEIX, J. DESCLOUX, A bidimensional electromagnetic problem, SIAM J. Math. Anal., 21, No. 3 (1990), pp. 577-592. Zbl0709.35029MR1046790
  4. [4] L. LANDAU, E. LIFCHITZ, Electrodynamics of continuous media, Pergamon Press, London, 1960. Zbl0122.45002
  5. [5] J.-C. NEDELEC, Approximation des équations intégrales en mécanique et en physique, Rapport du Centre de Mathématiques Appliquées, Ecole Polytechnique, Palaiseau (1977). 
  6. [6] J. LERAY, J. SCHAUDER, Topologie et équations fonctionnelles, Ann. Sci. Ecole Norm. Sup., 51 (1934), pp. 45-78. Zbl60.0322.02MR1509338JFM60.0322.02
  7. [7] P. GRISVARD, Elliptic Problems in Nonsmooth Domains, Pitman, Monographs and Studies in Mathematics 24, 1985. Zbl0695.35060MR775683
  8. [8] R. TEMAM, Navier-Stokes Equations, North-Holland, Amsterdam, 1984. Zbl0568.35002MR769654

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