Stabilization of walls for nano-wires of finite length

ESAIM - Control, Optimisation and Calculus of Variations

Volumn 18, Issue 1, 2012, Pages 1-21

  Carbou, Gilles ^a   Labbé, Stéphane ^b  

^a UNIVERSITÉ BORDEAUX 1   (France)

^b UNIV GRENOBLE ALPES   (France)

Author keywords

Control; Landau Lifschitz equation; Stabilization

Indexed keywords

APPLIED MAGNETIC FIELDS; FINITE LENGTH; LANDAU-LIFSCHITZ EQUATIONS; ONE-DIMENSIONAL MODEL; WALL PROFILES;

CONTROL; MAGNETIC FIELDS; NANOWIRES;

STABILIZATION;

EID: 84856844006     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv/2010048     Document Type: Article

References (20)

1. F. Alouges, T. Rivière and S. Serfaty, Néel and cross-tie wall energies for planar micromagnetic configurations. ESAIM: COCV 8 (2002) 31-68. (Pubitemid 47611726)
2. W.F. Brown, Micromagnetics. Interscience Publisher, John Willey and Sons, New York (1963).
3. G. Carbou, Regularity for critical points of a nonlocal energy. Calc. Var. 5 (1997) 409-433. (Pubitemid 127537875)
4. G. Carbou, Thin layers in micromagnetism. Math. Models Methods Appl. Sci. 11 (2001) 1529-1546.
5. G. Carbou and P. Fabrie, Time average in micromagnetism. J. Differ. Equ. 147 (1998) 383-409. (Pubitemid 128344826)
6. G. Carbou and P. Fabrie, Regular solutions for Landau-Lifschitz equation in a bounded domain. Differential Integral Equations 14 (2001) 213-229.
7. 3. Commun. Appl. Anal. 5 (2001) 17-30. (Pubitemid 33244716)
8. G. Carbou and S. Labbé, Stability for static walls in ferromagnetic nanowires. Discrete Continous Dyn. Syst. Ser. B 6 (2006) 273-290. (Pubitemid 43294335)
9. G. Carbou, S. Labbé and E. Trélat, Control of travelling walls in a ferromagnetic nanowire. Discrete Contin. Dyn. Syst. Ser. S 1 (2008) 51-59.
10. A. DeSimone, R.V. Kohn, S. Müller and F. Otto, Magnetic microstructures-a paradigm of multiscale problems, in ICIAM 99 (Edinburgh), Oxford Univ. Press, Oxford (2000) 175-190.
11. L. Halpern and S. Labbé, Modélisation et simulation du comportement des matériaux ferromagnétiques. Matapli 66 (2001) 70-86.
12. T. Kapitula, Multidimensional stability of planar travelling waves. Trans. Amer. Math. Soc. 349 (1997) 257-269. (Pubitemid 127745295)
13. K. Kühn, Travelling waves with a singularity in magnetic nanowires. Commun. Partial Diff. Equ. 34 (2009) 722-764.
14. S. Labbé, Simulation numérique du comportement hyperfréquence des matériaux ferromagnétiques. Thèse de l'Université Paris 13, Paris (1998).
15. S. Labbé and P.-Y. Bertin, Microwave polarisability of ferrite particles with non-uniform magnetization. J. Magn. Magn. Mater. 206 (1999) 93-105. (Pubitemid 30509054)
16. T. Rivière and S. Serfaty, Compactness, kinetic formulation, and entropies for a problem related to micromagnetics. Commun. Partial Diff. Equ. 28 (2003) 249-269. (Pubitemid 36618797)
17. D. Sanchez, Méthodes asymptotiques en ferromagnétisme. Thèse de l'Université Bordeaux 1, Bordeaux (2004).
18. A. Thiaville, J.M. Garcia and J. Miltat, Domain wall dynamics in nanowires. J. Magn. Magn. Mater. 242-245 (2002) 1061-1063. (Pubitemid 34715540)
19. A. Visintin, On Landau Lifschitz equation for ferromagnetism. Japan Journal of Applied Mathematics 1 (1985) 69-84.
20. H. Wynled, Ferromagnetism, Encyclopedia of Physics XVIII/2. Springer-Verlag, Berlin (1966).