Stability for static walls in ferromagnetic nanowires

Discrete and Continuous Dynamical Systems - Series B

Volumn 6, Issue 2, 2006, Pages 273-290

  Carbou, Gilles ^a   Labbé, Stéphane ^b  

^a UNIVERSITÉ BORDEAUX 1   (France)

^b UNIVERSITÉ PARIS SACLAY   (France)

Author keywords

Micromagnetism; Non Linear PDE; Stability

Indexed keywords

EID: 33644542140     PISSN: 15313492     EISSN: None     Source Type: Journal    
DOI: 10.3934/dcdsb.2006.6.273     Document Type: Article

References (14)

1. François Alouges, Tristan Rivière, and Sylvia Serfaty, Néel and cross-tie wall energies for planar micromagnetic configurations, Control, Optimisation and Calculus of Variations, 8 (2002), 31-68.
2. Andrea L. Bertozzi, Andreas Munch, Michael Shearer, and Kevin Zumbrun, Stability of compressive and undercompressive thin film travelling waves, European J. Appl. Math., 12(3) (2001), 253-291. The dynamics of thin fluid films.
3. Gilles Carbou., Modèle quasi-stationnaire en micromagné tisme, C. R. Acad. Sci. Paris Sér. I Math., 325(8) (1997), 847-850.
4. Gilles Carbou and Pierre Fabrie, Time average in micromagnetism, J. Differential Equations, 147(2) (1998), 383-409.
5. Gilles Carbou and Pierre Fabrie, Regular solutions for Landau-Lifschitz equation in a bounded domain, Differential Integral Equations, 14(2) (2001), 213-229.
6. Antonio DeSimone, Robert V. Kohn, Stefan Müller, and Felix Otto, Magnetic microstructures - a paradigm of multiscale problems, In ICIAM 99 (Edinburgh), pages 175-190. Oxford Univ. Press, Oxford, 2000.
7. Laurence Halpern and Stéphane Labbé, Modélisation et simulation du comportement des matériaux ferromagétigues, Matapli, 66 (2001), 70-86.
8. Todd Kapitula, Multidimensional stability of planar travelling waves, Trans. Amer. Math. Soc., 349(1) (1997), 257-269.
9. Stéphane Labbé and Pierre-Yves Bertin, Microwave polarisability of ferrite particles with non-uniform magnetization, Journal of Magnetism and Magnetic Materials, 206 (1999), 93-105.
10. Christof Melcher, Domain wall motion in ferromagnetic layers, Physica D, 192 (2004), 249-264.
11. Tristan Rivière and Sylvia Serfaty, Compactness, kinetic formulation, and entropies for a problem related to micromagnetics, Comm. Partial Differential Equations, 28(1-2) (2003), 249-269.
12. Tomás Roubícek, Optimization of fine structure in micromagnetism, In Free boundary problems: theory and applications, II (Chiba, 1999), volume 14 of GAKUTO Internat. Ser. Math. Sci. Appl, pages 398-408. Gakkōtosho, Tokyo, 2000.
13. Violaine Roussier, Stability of radially symmetric travelling waves in reaction-diffusion equations, Ann. Inst. H. Poincaré Anal. Non Linéaire, 21(3) (2004), 341-379.
14. David Sanchez, Behaviour of the Landau-Lifschitz equation in a ferromagnetic wire, preprint MAB, 2005.