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Existence of vortex free solutions in the Painlevé boundary layer of a Bose Einstein condensate

Amandine Aftalion , Xavier Blanc
Journal de Mathématiques Pures et Appliquées, 2004, 83 (6), pp.765-801
Journal articles hal-00018831v1

Lowest Landau level functional and Bargmann spaces for Bose-Einstein condensates

Amandine Aftalion , Xavier Blanc , Francis Nier
Journal of Functional Analysis, 2006, 241 (2), pp.661-702. ⟨10.1016/j.jfa.2006.04.027⟩
Journal articles hal-00447032v1

Improving on computation of homogenized coefficients in the periodic and quasi-periodic settings

Xavier Blanc , Claude Le Bris
Networks and Heterogeneous Media, 2010, 5 (1), pp.1-29. ⟨10.3934/nhm.2010.5.1⟩
Journal articles hal-00625537v1
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Existence of the thermodynamic limit for disordered quantum Coulomb systems

Xavier Blanc , Mathieu Lewin
Journal of Mathematical Physics, 2012, 53, pp.095209. ⟨10.1063/1.4729052⟩
Journal articles hal-00662052v3

Discrete to continuum limit for some models of stochastic lattices of atom

Xavier Blanc , Claude Le Bris , Pierre Louis Lions
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2006, 8, pp.627-633
Journal articles hal-00111858v1
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Multiscale methods coupling atomistic and continuum mechanics: analysis of a simple case

Xavier Blanc , Claude Le Bris , Frédéric Legoll
8e Colloque national en calcul des structures, CSMA, May 2007, Giens, France
Conference papers hal-01508995v1

Définition d'énergies d'interfaces à partir de modèles atomiques

Xavier Blanc , C. Le Bris
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2005, tome 340, pp.535-540
Journal articles hal-00018876v1
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Homogenization of heat diffusion in a cracked medium

Xavier Blanc , Benjamin-Edouard Peigney
Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, 2014, ⟨10.1137/13092191X⟩
Journal articles hal-01438671v1
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From Molecular Models to Continuum Mechanics

Xavier Blanc , Claude Le Bris , Pierre Louis Lions
Archive for Rational Mechanics and Analysis, 2002, 164, pp.341-381. ⟨10.1007/s00205-002-0218-5⟩
Journal articles hal-01487687v1
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Weak and strong solutions of equations of compressible magnetohydrodynamics

Xavier Blanc , Bernard Ducomet
Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, 2016, ⟨10.1007/978-3-319-10151-4_72-1⟩
Book sections hal-01201867v1
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Fast rotating condensates in an asymmetric harmonic trap

Amandine Aftalion , Xavier Blanc , Nicolas Lerner
2008
Preprints, Working Papers, ... hal-00270540v3
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Moment models for an axisymmetric inertial connement experiment and one dimensional numerical study

Xavier Blanc , Patricia Cargo , Tony Février , Gérald Samba
Journal of Quantitative Spectroscopy and Radiative Transfer, 2023, 298, pp.108491. ⟨10.1016/j.jqsrt.2023.108491⟩
Journal articles hal-03550149v1
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Vortex patterns in a fast rotating Bose-Einstein condensate

Amandine Aftalion , Xavier Blanc , Jean Dalibard
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2005, 71, pp.023611
Journal articles hal-00003161v1

Atomistic to continuum limits for computational materials science

Xavier Blanc , Claude Le Bris , Pierre Louis Lions
ESAIM: Mathematical Modelling and Numerical Analysis, 2007, 41 (2), pp.391-426. ⟨10.1051/m2an:2007018⟩
Journal articles hal-00667335v1
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Asymptotic Behavior of Green Functions of Divergence form Operators with Periodic Coefficients

Xavier Blanc , Frédéric Legoll , Arnaud Anantharaman
Applied Mathematics Research eXpress, 2013, 2013, pp.79 - 101. ⟨10.1093/amrx/abs013⟩
Journal articles hal-01079280v1
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Homogenization of heat diffusion in a cracked medium

Xavier Blanc , Benjamin-Edouard Peigney
Comptes Rendus. Mathématique, 2014, 352 (5), pp.405-409. ⟨10.1016/j.crma.2014.03.003⟩
Journal articles hal-01007668v1
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Local profiles and elliptic problems at different scales with defects

Xavier Blanc , Claude Le Bris , Pierre Louis Lions
Comptes Rendus. Mathématique, 2015, pp.203-208. ⟨10.1016/j.crma.2015.01.003⟩
Journal articles hal-01143311v1
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Arbitrary-order monotone finite-volume schemes for 1D elliptic problems

Xavier Blanc , Francois Hermeline , Emmanuel Labourasse , Julie Patela
Computational & Applied Mathematics, 2023, 42 (4), pp.195. ⟨10.1007/s40314-023-02324-8⟩
Journal articles cea-03421015v4

Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics: the convex case

Xavier Blanc , Claude Le Bris , Frédéric Legoll
Acta Mathematicae Applicatae Sinica, 2007, 23 (2), pp.209-216. ⟨10.1007/s10255-007-0364-5⟩
Journal articles istex hal-01986858v1

Beyond multiscale and multiphysics: Multimaths for model coupling

Xavier Blanc , Claude Le Bris , Frédéric Legoll , Tony Lelièvre
Networks and Heterogeneous Media, 2010, 5 (3), pp.423--460. ⟨10.3934/nhm.2010.5.423⟩
Journal articles hal-00524822v1
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Equations aux dérivés partielles elliptiques non linéaires. Applications à la modélisation des solides et aux condensats de Bose-Einstein.

Xavier Blanc
Mathématiques [math]. Université Pierre et Marie Curie - Paris VI, 2005
Habilitation à diriger des recherches tel-00136839v1
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On correctors for linear elliptic homogenization in the presence of local defects

Xavier Blanc , Claude Le Bris , Pierre Louis Lions
Communications in Partial Differential Equations, 2019, ⟨10.1080/03605302.2018.1484764⟩
Journal articles hal-01697104v1
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From the Newton equation to the wave equation : the case of shock waves

Xavier Blanc , Marc Josien
Applied Mathematics Research eXpress, 2017, ⟨10.1093/amrx/abx001⟩
Journal articles hal-01314690v1
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Global weak solutions to the 1D compressible Euler equations with radiation

Xavier Blanc , B. Ducomet
Communications in Mathematical Sciences, 2015, 13 (7), pp.1875-1904. ⟨10.4310/CMS.2015.v13.n7.a10⟩
Journal articles hal-01143249v1
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The Crystallization Conjecture: A Review

Xavier Blanc , Mathieu Lewin
EMS Surveys in Mathematical Sciences, 2015, 2 (2), pp.255-306
Journal articles hal-01139322v2
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Positive composite finite volume schemes for the diffusion equation on unstructured meshes

Xavier Blanc , Philippe Hoch , Clément Lasuen
2022
Preprints, Working Papers, ... hal-03895705v1
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Arbitrary order monotonic finite-volume schemes for 2D elliptic problems

Xavier Blanc , Francois Hermeline , Emmanuel Labourasse , Julie Patela
2023
Preprints, Working Papers, ... cea-04211874v1
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Stochastic homogenization and random lattices

Xavier Blanc , Claude Le Bris , Pierre Louis Lions
2007
Preprints, Working Papers, ... hal-00140076v1

Analysis of a prototypical multiscale method coupling atomistic and continuum mechanics

Xavier Blanc , Frédéric Legoll , Claude Le Bris
ESAIM: Mathematical Modelling and Numerical Analysis, 2005, 39 (4), pp.797-826
Journal articles hal-00018874v1

Vortex distribution in the lowest Landau level

Amandine Aftalion , Xavier Blanc , F. Nier
Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2006, 73, pp.011601 (R)
Journal articles hal-00018875v1