Geodesic
Stabilization of walls for nano-wires of finite length
ESAIM: Control, Optimisation and Calculus of Variations, Tome 18 (2012) no. 1, pp. 1-21 Cet article a éte moissonné depuis la source Numdam

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In this paper we study a one dimensional model of ferromagnetic nano-wires of finite length. First we justify the model by Γ-convergence arguments. Furthermore we prove the existence of wall profiles. These walls being unstable, we stabilize them by the mean of an applied magnetic field.

DOI : 10.1051/cocv/2010048
Classification : 35B35, 35K55
Keywords: Landau-Lifschitz equation, control, stabilization 
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     author = {Carbou, Gilles and Labb\'e, St\'ephane},
     title = {Stabilization of walls for nano-wires of finite length},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1--21},
     year = {2012},
     publisher = {EDP-Sciences},
     volume = {18},
     number = {1},
     doi = {10.1051/cocv/2010048},
     mrnumber = {2887925},
     zbl = {1235.35029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2010048/}
}
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Carbou, Gilles; Labbé, Stéphane. Stabilization of walls for nano-wires of finite length. ESAIM: Control, Optimisation and Calculus of Variations, Tome 18 (2012) no. 1, pp. 1-21. doi: 10.1051/cocv/2010048

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