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A deformation theorem for tensor flat chains and applications (complement to "Tensor rectifiable G-flat chains")

Michael Goldman , Benoît Merlet
2023
Pré-publication, Document de travail hal-03895431v1
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Recent results on non-convex functionals penalizing oblique oscillations

Michael Goldman , Benoît Merlet
Rendiconti del Seminario Matematico, 2019, 77 (2)
Article dans une revue hal-02382214v1
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Phase segregation for binary mixtures of Bose-Einstein Condensates

Michael Goldman , Benoît Merlet
SIAM Journal on Mathematical Analysis, 2017, 49 (3), pp.1947-1981. ⟨10.1137/15M1051105⟩
Article dans une revue hal-01155676v3
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Tensor rectifiable G-flat chains

Michael Goldman , Benoît Merlet
2023
Pré-publication, Document de travail hal-03890966v1
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Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure

Michael Goldman , Benoît Merlet
2023
Pré-publication, Document de travail hal-04222463v1
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A highly anisotropic nonlinear elasticity model for vesicles I. Eulerian formulation, rigidity estimates and vanishing energy limit

Benoit Merlet
Archive for Rational Mechanics and Analysis, 2015, 217 (2), pp.651--680. ⟨10.1007/s00205-014-0839-5⟩
Article dans une revue hal-00848547v5
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Strong approximation in h-mass of rectifiable currents under homological constraint

Antonin Chambolle , Luca Alberto Davide Ferrari , Benoît Merlet
Advances in Calculus of Variation, 2021, 14 (3), pp.343--363. ⟨10.1515/acv-2018-0079⟩
Article dans une revue hal-01813234v1
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Compactness and structure of zero-states for unoriented Aviles-Giga functionals

Michael Goldman , Benoît Merlet , Marc Pegon , Sylvia Serfaty
Journal of the Institute of Mathematics of Jussieu, In press, pp.1-42. ⟨10.1017/S1474748023000075⟩
Article dans une revue hal-03472756v1
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A stokesian submarine

Aline Lefebvre-Lepot , Benoît Merlet
ESAIM: Proceedings, 2009, 28, pp.150-161. ⟨10.1051/proc/2009044⟩
Article dans une revue hal-03030611v1
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Optimized Schwarz waveform relaxation for Primitive Equations of the ocean

Emmanuel Audusse , Pierre Dreyfuss , Benoit Merlet
2009
Pré-publication, Document de travail hal-00386817v1
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Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion

Clément Cancès , Claire Chainais-Hillairet , Benoît Merlet , Federica Raimondi , Juliette Venel
Zeitschrift für Angewandte Mathematik und Physik, 2023, 74 (3), pp.96. ⟨10.1007/s00033-023-01970-6⟩
Article dans une revue hal-03549457v2
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Homogenization of a coupled problem for sound propagation in porous media

François Alouges , Adeline Augier , Benjamin Graille , Benoit Merlet
2011
Pré-publication, Document de travail hal-00623679v1
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Design and analysis of a finite volume scheme for a concrete carbonation model

Claire Chainais-Hillairet , Antoine Zurek , Benoît Merlet
FVCA8 2017 - International Conference on Finite Volumes for Complex Applications VIII, Jun 2017, Lille, France. pp.285-292, ⟨10.1007/978-3-319-57397-7_21⟩
Communication dans un congrès hal-01645137v1
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Numerical study of a new global minimizer for the Mumford-Shah functional in $\R^3$

Benoît Merlet
ESAIM: Control, Optimisation and Calculus of Variations, 2007, 13 (3), pp.553-569
Article dans une revue hal-00004669v1

An accurate method to include lubrication forces in numerical simulations of dense Stokesian suspensions

Aline Lefebvre-Lepot , Benoit Merlet , Thanh Nhan Nguyen
Journal of Fluid Mechanics, 2015, 769, pp.369-386. ⟨10.1017/jfm.2015.101⟩
Article dans une revue hal-03030560v1
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Large mass rigidity for a liquid drop model in 2D with kernels of finite moments

Benoît Merlet , Marc Pegon
Journal de l'École polytechnique — Mathématiques, 2021, 9, pp.63-100. ⟨10.5802/jep.178⟩
Article dans une revue hal-03181775v3

Fluid-particles flows: a thin spray model with energy exchanges

Laurent Boudin , Benjamin Boutin , Bruno Fornet , Thierry Goudon , Pauline Lafitte , et al.
ESAIM: Proceedings, 2009, CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids, 28, pp.195-210. ⟨10.1051/proc/2009047⟩
Article dans une revue inria-00543156v1
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Variational approximation of size-mass energies for k-dimensional currents

Antonin Chambolle , Luca Alberto Davide Ferrari , Benoît Merlet
ESAIM: Control, Optimisation and Calculus of Variations, 2019, 25 (2019) (43), pp.39. ⟨10.1051/cocv/2018027⟩
Article dans une revue hal-01622540v3
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Uniform $C^{1,\alpha}$-regularity for almost-minimizers of some nonlocal perturbations of the perimeter

Michael Goldman , Benoît Merlet , Marc Pegon
2023
Pré-publication, Document de travail hal-03623418v3
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Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation

Paola Francesca Antonietti , Benoît Merlet , Morgan Pierre , Marco Verani
AIMS Mathematics, 2016, Nonlinear Evolution PDEs, Interfaces and Applications, 1 (3), pp.178-194. ⟨10.3934/Math.2016.3.178⟩
Article dans une revue hal-01355956v1
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A Ginzburg-Landau model with topologically induced free discontinuities

Michael Goldman , Benoît Merlet , Vincent Millot
Annales de l'Institut Fourier, 2020, Université de Grenoble. Annales de l'Institut Fourier, 70 (6), pp.2583--2675
Article dans une revue hal-01643795v1
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Stochastic homogenization of the Landau-Lifshitz-Gilbert equation

François Alouges , Anne de Bouard , Benoît Merlet , Léa Nicolas
Stochastics and Partial Differential Equations: Analysis and Computations, 2021, 9 (4), pp.789-818. ⟨10.1007/s40072-020-00185-4⟩
Article dans une revue hal-02020241v1
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Set-decomposition of normal rectifiable G-chains via an abstract decomposition principle

Michael Goldman , Benoît Merlet
2023
Pré-publication, Document de travail hal-03890958v2
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Analysis of a one dimensional energy dissipating free boundary model with nonlinear boundary conditions. Existence of global weak solutions

Benoît Merlet , Juliette Venel , Antoine Zurek
2023
Pré-publication, Document de travail hal-03888607v1
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Thermodynamically consistent modelling of the corrosion of iron in the context of deep subsurface nuclear waste repositories

Clément Cancès , Claire Chainais-Hillairet , Benoît Merlet , Federica Raimondi , Juliette Venel
EURAD joint program. 2023
Rapport hal-04210782v1
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A phase-field approximation of the Steiner problem in dimension two

Antonin Chambolle , Luca Alberto Davide Ferrari , Benoît Merlet
Advances in Calculus of Variation, 2019, 12 (2), pp.157-179. ⟨10.1515/acv-2016-0034⟩
Article dans une revue hal-01359483v2

Optimally swimming stokesian robots

François Alouges , Antonio Desimone , Luca Heltai , Aline Lefebvre-Lepot , Benoît Merlet
Discrete and Continuous Dynamical Systems - Series B, 2013, 18 (5), pp.1189-1215. ⟨10.3934/dcdsb.2013.18.1189⟩
Article dans une revue hal-03030574v1
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Error estimate for the Finite Volume Scheme

Benoît Merlet , Julien Vovelle
Numerische Mathematik, 2007, 106 (1), pp.129-155. ⟨10.1007/s00211-006-0053-y⟩
Article dans une revue hal-00008660v3
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A highly anisotropic nonlinear elasticity model for vesicles. II. Derivation of the thin bilayer bending theory

Benoit Merlet
2013
Pré-publication, Document de travail hal-00848552v2