Free Access
Volume 10, Number 2, April 2004
Page(s) 295 - 314
Published online 15 March 2004
  1. G. Anzellotti, S. Baldo and A. Visintin, Asymptotic behavior of the Landau-Lifshitz model of ferromagnetism. Appl. Math. Optim. 23 (1991) 171-192. [CrossRef] [MathSciNet] [Google Scholar]
  2. J.M. Ball, A. Taheri and M. Winter, Local minimizers in micromagnetics and related problems. Calc. Var. Partial Differ. Equ. 14 (2002) 1-27. [CrossRef] [Google Scholar]
  3. A. Braides and A. Defranceschi, Homogenization of multiple integrals. The Clarendon Press Oxford University Press, New York, Oxford Lecture Ser. Math. Appl. 12 (1998). [Google Scholar]
  4. A. Braides, I. Fonseca and G. Leoni, A-quasiconvexity: relaxation and homogenization. ESAIM: COCV 5 (2000) 539-577 (electronic). [CrossRef] [EDP Sciences] [Google Scholar]
  5. Jr. Brown and W. Fuller, Micromagnetics. Interscience Publishers, John Wiley & Sons, New York, London (1963). [Google Scholar]
  6. B. Dacorogna, Direct methods in the calculus of variations. Appl. Math. Sci. 78 (1989). [Google Scholar]
  7. B. Dacorogna and I. Fonseca, A-B quasiconvexity and implicit partial differential equations. Calc. Var. Partial Differ. Equ. 14 (2002) 115-149. [CrossRef] [Google Scholar]
  8. G. Dal Maso, An introduction to Formula -convergence. Birkhäuser Boston Inc., Boston, MA Prog. Nonlinear Differ. Equ. Appl. 8 (1993). [Google Scholar]
  9. A. De Simone, Energy minimizers for large ferromagnetic bodies. Arch. Ration. Mech. Anal. 125 (1993) 99-143. [CrossRef] [MathSciNet] [Google Scholar]
  10. A. De Simone, Hysteresis and imperfection sensitivity in small ferromagnetic particles. Meccanica 30 (1995) 591-603. Microstructure and phase transitions in solids (Udine, 1994). [CrossRef] [MathSciNet] [Google Scholar]
  11. A. De simone, R.V. Kohn, S. Müller and F. Otto, A reduced theory for thin-film micromagnetics. Commun. Pure Appl. Math. 55 (2002) 1408-1460. [CrossRef] [Google Scholar]
  12. A. De Simone, S. Müller, R.V. Kohn and F. Otto, A compactness result in the gradient theory of phase transitions. Proc. R. Soc. Edinb. Sect. A 131 (2001) 833-844. [CrossRef] [MathSciNet] [Google Scholar]
  13. I. Fonseca and G. Leoni, Relaxation results in micromagnetics. Ricerche Mat. 49 (2000) (suppl.) 269-304. Contributions in honor of the memory of Ennio De Giorgi (Italian). [Google Scholar]
  14. R.D. James and D. Kinderlehrer, Frustration in ferromagnetic materials. Contin. Mech. Thermodyn. 2 (1990) 215-239. [CrossRef] [MathSciNet] [Google Scholar]
  15. L.D. Landau and E.M. Lifshits, Teoreticheskaya fizika. Tome VIII. “Nauka”, Moscow, third edition (1992). Elektrodinamika sploshnykh sred. [Electrodynamics of continuous media], with a preface by Lifshits and L.P. Pitaevskiĭ, edited and with a preface by Pitaevskiĭ. [Google Scholar]
  16. L. Tartar, On mathematical tools for studying partial differential equations of continuum physics: H-measures and Young measures. Plenum, New York, in Developments in partial differential equations and applications to mathematical physics (Ferrara, 1991), (1992) 201-217. [Google Scholar]
  17. L. Tartar, Beyond Young measures. Meccanica 30 (1995) 505-526. Microstructure and phase transitions in solids (Udine, 1994). [CrossRef] [MathSciNet] [Google Scholar]
  18. A. Visintin, On Landau-Lifshitz' equations for ferromagnetism. Japan J. Appl. Math. 2 (1985) 69-84. [CrossRef] [MathSciNet] [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.