Homogenization of two randomly weakly connected materials.
Briane, M., Mazliak, L. (1998)
Portugaliae Mathematica
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Briane, M., Mazliak, L. (1998)
Portugaliae Mathematica
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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...
Popov, Serguei, Vachkovskaia, Marina (2005)
Electronic Communications in Probability [electronic only]
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E. N. Dancer, Shusen Yan (2004)
Annales de l'I.H.P. Analyse non linéaire
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Holden, H., Karlsen, K.H., Mitrovic, D. (2009)
International Journal of Differential Equations
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Selmi, Ridha (2006)
International Journal of Mathematics and Mathematical Sciences
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Ján Filo (1998)
Archivum Mathematicum
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The aim of this contribution is to present a new result concerning asymptotic expansion of solutions of the heat equation with periodic Dirichlet–Neuman boundary conditions with the period going to zero in D.
Hildebrand, Martin (2005)
Probability Surveys [electronic only]
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