Asymptotic analysis of magnetic induction with high frequency for solid conductors

Olivier Coulaud

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1998)

  • Volume: 32, Issue: 6, page 651-669
  • ISSN: 0764-583X

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Coulaud, Olivier. "Asymptotic analysis of magnetic induction with high frequency for solid conductors." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 32.6 (1998): 651-669. <http://eudml.org/doc/193890>.

@article{Coulaud1998,
author = {Coulaud, Olivier},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {multiple time scales; singular perturbation; Maxwell's equations; high frequency; eddy current; boundary layer; time average},
language = {eng},
number = {6},
pages = {651-669},
publisher = {Dunod},
title = {Asymptotic analysis of magnetic induction with high frequency for solid conductors},
url = {http://eudml.org/doc/193890},
volume = {32},
year = {1998},
}

TY - JOUR
AU - Coulaud, Olivier
TI - Asymptotic analysis of magnetic induction with high frequency for solid conductors
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1998
PB - Dunod
VL - 32
IS - 6
SP - 651
EP - 669
LA - eng
KW - multiple time scales; singular perturbation; Maxwell's equations; high frequency; eddy current; boundary layer; time average
UR - http://eudml.org/doc/193890
ER -

References

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  6. [6] W. ECKHAUS, Asymptotic analysis of singular perturbations, vol. 9 of Studies in Mathematics and its Applications. Springer-Verlag, New-York, 1979. Zbl0421.34057MR553107
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  12. [12] NOVELECT. Les applications innovantes de l'induction dans l'industrie. Les guides de l'innovation, documentation EDF CFE, 1992. 
  13. [13] J. A. SHERCLIFF, Magnetic shaping of molten metal columns. Proc. Royal. Soc. London 375, A (1981), 455-473. 
  14. [14] A. D. SNEYD and H. K. MOFFATT, Fluid dynamical aspects of the levitation-melting process. Journal of Fluid Mechanics 117 (1982), 45-70. Zbl0494.76111MR656643
  15. [15] A. B. VASEL'EVA V. F. BUTUZOV and L. V. KALACHEV, The Boundary Function Method for Singular Perturbations Problems, vol. 14 of Siam Studies in Applied Mathematics. Siam, 1995. Zbl0823.34059MR1316892

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