Free Access
Issue
ESAIM: COCV
Volume 13, Number 2, April-June 2007
Page(s) 305 - 330
DOI https://doi.org/10.1051/cocv:2007010
Published online 12 May 2007
  1. A. Aharoni, Introduction to the theory of ferromagnetism. Oxford Science Publication (1996). [Google Scholar]
  2. G. Allaire, Homogenization and two-scale convergence. SIAM J. Math. Anal. 23 (1992) 1482–1518. [CrossRef] [MathSciNet] [Google Scholar]
  3. G. Allaire, A. Damlamian and U. Hornung, Two-scale convergence on periodic surfaces and applications, in Proc. of the International Conference on Mathematical Modelling of Flow through Porous Media, Singapore, May 1995, A. Bourgeat et al. Eds., World Scientific Pub., 15–25. [Google Scholar]
  4. F. Alouges and A. Soyeur, On global weak solutions for Landau-Lifshitz equations: existence and nonuniqueness. Nonlinear Anal. Theory Methods Appl. 18 (1992) 1071–1084. [CrossRef] [Google Scholar]
  5. W.F. Brown, Micromagnetics. Interscience Publishers (1963). [Google Scholar]
  6. M.J. Friedman, Mathematical study of the nonlinear singular integral magnetic field equation I. SIAM J. Appl. Math. 39 (1980) 14–20. [CrossRef] [MathSciNet] [Google Scholar]
  7. H. Haddar and P. Joly, Homogenized model for a laminar ferromagnetic medium. Proc. Roy. Soc. Edinburgh Sect. A 133, (2003) 567–598. [Google Scholar]
  8. L. Halpern and S. Labbé, La théorie du micromagnétisme. Modélisation et simulation du comportement des matériaux magnétiques. Matapli 66 (2001) 77–92. [Google Scholar]
  9. K. Hamdache, Homogenization of layered ferromagnetic media. Preprint 495, CMAP Polytechnique, UMR CNRS 7641, Palaiseau, France (2002). [Google Scholar]
  10. A. Kirilyuk, J. Ferré, V. Grolier, J. Jamet and D. Renard. Magnetization reversal in ultrathin ferromagetic films with perpendicular anisotropy. J. Magn. Magn. Mater. 171 (1997) 45–63. [CrossRef] [Google Scholar]
  11. M. Labrune and J. Miltat, Wall structure in ferro / antiferromagnetic exchange-coupled bilayers: a numerical micromagnetic approach. J. Magn. Magn. Mater. 151 (1995) 231–245. [CrossRef] [Google Scholar]
  12. L.D. Landau and E.M. Lifshitz, On the theory of the dispersion of magnetic permeability in ferromagnetic bodies. Phys. Z. Sowjetunion 8 (1935) 153–169. [Google Scholar]
  13. M. Neuss-Radu, Homogenization techniques. Diplomaarbeit, University of Heidelberg (1992). [Google Scholar]
  14. M. Neuss-Radu, Some extensions of two-scale convergence. C. R. Acad. Sci. Paris Sér. I Math. 322 (1996) 899–904. [Google Scholar]
  15. K. Santugini-Repiquet, Solutions to the Landau-Lifshitz system with nonhomogeneous Neumann boundary conditions arising from surface anisotropy and super-exchange interactions in a ferromagnetic media. Nonlinear Anal. 65 (2006) 129–158. [CrossRef] [MathSciNet] [Google Scholar]
  16. J. Simon, Compact sets in the space Formula . Ann. Mat. Pura Appl. 146 (1987) 66–96. [Google Scholar]
  17. É. Trémolet de Lacheisserie, editor. Magnétisme: Fondements, Collection Grenoble Sciences, Vol. I, EDP Sciences (2000). [Google Scholar]
  18. É. Trémolet de Lacheisserie, editor. Magnétisme: Matériaux et applications, Collection Grenoble Sciences, Vol. II, EDP Sciences (2000). [Google Scholar]

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