Transition layer for the heterogeneous Allen–Cahn equation
Fethi Mahmoudi, Andrea Malchiodi, Juncheng Wei (2008)
Annales de l'I.H.P. Analyse non linéaire
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Fethi Mahmoudi, Andrea Malchiodi, Juncheng Wei (2008)
Annales de l'I.H.P. Analyse non linéaire
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J. Lederer, R. Lewandowski (2007)
Annales de l'I.H.P. Analyse non linéaire
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Selmi, Ridha (2006)
International Journal of Mathematics and Mathematical Sciences
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François Alouges, Tristan Rivière, Sylvia Serfaty (2002)
ESAIM: Control, Optimisation and Calculus of Variations
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We study a two-dimensional model for micromagnetics, which consists in an energy functional over -valued vector fields. Bounded-energy configurations tend to be planar, except in small regions which can be described as vortices (Bloch lines in physics). As the characteristic “exchange-length” tends to 0, they converge to planar divergence-free unit norm vector fields which jump along line singularities. We derive lower bounds for the energy, which are explicit functions of the jumps...
Laure Saint-Raymond (2010)
Journées Équations aux dérivées partielles
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Pažanin, Igor (2011)
Mathematical Problems in Engineering
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