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hal-01102201v1  Article dans une revue
Marc BrianeGilles A. FrancfortLoss of ellipticity through homogenization in linear elasticity
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2015, 25 (5), pp.905-928. <10.1142/S0218202515500220 >
hal-00564272v1  Article dans une revue
Marc BrianeHomogenization of the magneto-resistance in dimension two
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2010, 20 (7), pp.1161-1177. <10.1142/S0218202510004556>
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hal-01427898v1  Article dans une revue
Marc BrianeGraeme MiltonGiant Hall Effect in Composites
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, Society for Industrial and Applied Mathematics, 2009, 7 (3), pp.1405-1427. <10.1137/08073189X>
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hal-00352797v1  Article dans une revue
Grégoire AllaireMarc BrianeRobert BrizziYves CapdeboscqTWO ASYMPTOTIC MODELS FOR ARRAYS OF UNDERGROUND WASTE CONTAINERS
Applicable Analysis. An International Journal, 2009, 88 (10-11), pp.1445-1467. <10.1080/00036810902922590>
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hal-00771274v1  Article dans une revue
Marc BrianeGraeme MiltonAndrejs TreibergsWhich electric fields are realizable in conducting materials?
ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2014, 48 (2), pp.307-323. <10.1051/m2an/2013109>
hal-01543724v1  Communication dans un congrès
Marc BrianeGraeme MiltonReversal of the Hall coefficient sign under homogenization
Sixth International Congress on Industrial Applied Mathematics (IVIAM07) and GAMM annual meeting, Jul 2007, Zürich, Switzerland. Proceedings in applied mathematics and mathematics, 7 (1), pp.1050603 - 1050604, 2007, <10.1002/pamm.200700493>
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hal-00828333v1  Article dans une revue
Marc BrianeMuthusamy VanninathanFirst Bloch eigenvalue in high contrast media
Journal of Mathematical Physics, American Institute of Physics (AIP), 2014, 55 (1), pp.1-15. <10.1063/1.4859195>
hal-00447685v1  Article dans une revue
Marc BrianeYves CapdeboscqExpansion formulae for the homogenized determinant of anisotropic checkerboards
Proceedings of The Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences, 2006, 462 (2073), pp.2759-2779. <10.1098/rspa.2006.1690>
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hal-00829216v1  Article dans une revue
Marc BrianeIsotropic realizability of electric fields around critical points
Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2014, 19 (2), pp.353-372. <10.3934/dcdsb.2014.19.353>
hal-00365139v1  Article dans une revue
Marc BrianeVincenzo NesiDistributional convergence of null Lagrangians under very mild conditions
Discrete and Continuous Dynamical Systems - Series B, American Institute of Mathematical Sciences, 2007, 8 (2), pp.493-510
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hal-01366874v1  Article dans une revue
Marc BrianeAntonio Pallares-MartínHomogenization of weakly coercive integral functionals in three-dimensional linear elasticity
Journal de l'École polytechnique — Mathématiques, École polytechnique, 2017, 4, pp.483-514. <10.5802/jep.49>
hal-01355783v1  Pré-publication, Document de travail
Graeme W. MiltonDavit HarutyunyanMarc BrianeTowards a complete characterization of the effective elasticity tensors of mixtures of an elastic phase and an almost rigid phase
13 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1606.03305. 2016
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hal-00713779v1  Article dans une revue
Marc BrianeLaurent PaterMagneto-resistance in three-dimensional composites.
Asymptotic Analysis, IOS Press, 2014, 86 (3-4), pp.165-197. <10.3233/ASY-131192>
hal-00365131v1  Article dans une revue
Marc BrianeJuan Casado-DiazAsymptotic behaviour of equicoercive diffusion energies in dimension two
Calculus of Variations and Partial Differential Equations, Springer Verlag, 2007, 29 (4), pp.455-479. <10.1007/s00526-006-0074-5>
hal-00359993v1  Article dans une revue
Marc BrianeJuan Casado-DiazCompactness of sequences of two-dimensional energies with a zero-order term. Application to three-dimensional nonlocal effects
Calculus of Variations and Partial Differential Equations, Springer Verlag, 2008, 33 (4), pp.463-492. <10.1007/s00526-008-0171-8>
hal-00452194v1  Article dans une revue
Graeme W. MiltonMarc BrianeJohn R. WillisOn cloaking for elasticity and physical equations with a transformation invariant form
New Journal of Physics, Institute of Physics: Open Access Journals, 2006, 8 (248), 19 p. <10.1088/1367-2630/8/10/248>
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hal-00158636v1  Article dans une revue
Marc BrianeMohamed Camar-EddineHomogenization of two-dimensional elasticity problems with very stiff coefficients
Journal de Mathématiques Pures et Appliquées, Elsevier, 2007, 88 (6), pp.483-505. <10.1016/j.matpur.2007.09.003>
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hal-00591081v1  Article dans une revue
Marc BrianeGraeme MiltonBounds on strong field magneto-transport in three-dimensional composites
Journal of Mathematical Physics, American Institute of Physics (AIP), 2011, 52 (10), 18 p. <10.1063/1.3644377>
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hal-00372692v2  Article dans une revue
Marc BrianeDavid ManceauGraeme MiltonHomogenization of the two-dimensional Hall effect
Journal of Mathematical Analysis and Applications, Elsevier, 2008, 339 (2), pp.1468 - 1484. <10.1016/j.jmaa.2007.07.044>
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hal-00492687v1  Article dans une revue
Marc BrianePatrick GérardA drift homogenization problem revisited
Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, 2012, XI (1), pp.1-39. <10.2422/2036-2145.201006_003>
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