Benoît Merlet
Professeur des universités
CNU : SECTION 26 - Mathematiques appliquees et applications des mathematiques
Laboratoire / équipe
Publications
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"citationFull_s":"Benoît Merlet, Juliette Venel, Antoine Zurek. Analysis of a one dimensional energy dissipating free boundary model with nonlinear boundary conditions. Existence of weak solutions. 2025. <a target=\"_blank\" href=\"https://hal.science/hal-03888607v2\">⟨hal-03888607v2⟩</a>",
"title_s":["Analysis of a one dimensional energy dissipating free boundary model with nonlinear boundary conditions. Existence of weak solutions"],
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"citationFull_s":"Michael Goldman, Benoît Merlet. Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure. 2025. <a target=\"_blank\" href=\"https://hal.science/hal-04222463v2\">⟨hal-04222463v2⟩</a>",
"title_s":["Non-convex functionals penalizing simultaneous oscillations along two independent directions: structure of the defect measure"],
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"citationRef_s":"<i>Transactions of the American Mathematical Society</i>, In press, <a target=\"_blank\" href=\"https://dx.doi.org/10.1090/tran/9392\">⟨10.1090/tran/9392⟩</a>",
"citationFull_s":"Michael Goldman, Benoît Merlet. Tensor rectifiable G-flat chains. <i>Transactions of the American Mathematical Society</i>, In press, <a target=\"_blank\" href=\"https://dx.doi.org/10.1090/tran/9392\">⟨10.1090/tran/9392⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03890966v2\">⟨hal-03890966v2⟩</a>",
"title_s":["Tensor rectifiable G-flat chains"],
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"citationRef_s":"<i>Archive for Rational Mechanics and Analysis</i>, 2024, 248 (6), pp.102. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00205-024-02048-x\">⟨10.1007/s00205-024-02048-x⟩</a>",
"citationFull_s":"Michael Goldman, Benoît Merlet, Marc Pegon. Uniform $C^{1,\\alpha}$-regularity for almost-minimizers of some nonlocal perturbations of the perimeter. <i>Archive for Rational Mechanics and Analysis</i>, 2024, 248 (6), pp.102. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00205-024-02048-x\">⟨10.1007/s00205-024-02048-x⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03623418v4\">⟨hal-03623418v4⟩</a>",
"title_s":["Uniform $C^{1,\\alpha}$-regularity for almost-minimizers of some nonlocal perturbations of the perimeter"],
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"citationRef_s":"<i>Revista Matemática Iberoamericana</i>, 2024, 40 (6), pp.2073-2094. <a target=\"_blank\" href=\"https://dx.doi.org/10.4171/RMI/1504\">⟨10.4171/RMI/1504⟩</a>",
"citationFull_s":"Michael Goldman, Benoît Merlet. Set-decomposition of normal rectifiable G-chains via an abstract decomposition principle. <i>Revista Matemática Iberoamericana</i>, 2024, 40 (6), pp.2073-2094. <a target=\"_blank\" href=\"https://dx.doi.org/10.4171/RMI/1504\">⟨10.4171/RMI/1504⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03890958v3\">⟨hal-03890958v3⟩</a>",
"title_s":["Set-decomposition of normal rectifiable G-chains via an abstract decomposition principle"],
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"citationRef_s":"<i>Journal of the Institute of Mathematics of Jussieu</i>, 2024, 23 (2), pp.941-982. <a target=\"_blank\" href=\"https://dx.doi.org/10.1017/S1474748023000075\">⟨10.1017/S1474748023000075⟩</a>",
"citationFull_s":"Michael Goldman, Benoît Merlet, Marc Pegon, Sylvia Serfaty. Compactness and structure of zero-states for unoriented Aviles-Giga functionals. <i>Journal of the Institute of Mathematics of Jussieu</i>, 2024, 23 (2), pp.941-982. <a target=\"_blank\" href=\"https://dx.doi.org/10.1017/S1474748023000075\">⟨10.1017/S1474748023000075⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03472756v1\">⟨hal-03472756⟩</a>",
"title_s":["Compactness and structure of zero-states for unoriented Aviles-Giga functionals"],
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"citationFull_s":"Michael Goldman, Benoît Merlet. A deformation theorem for tensor flat chains and applications (complement to \"Tensor rectifiable G-flat chains\"). 2024. <a target=\"_blank\" href=\"https://hal.science/hal-03895431v1\">⟨hal-03895431⟩</a>",
"title_s":["A deformation theorem for tensor flat chains and applications (complement to \"Tensor rectifiable G-flat chains\")"],
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"citationRef_s":"<i>Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées</i>, 2023, 74 (3), pp.96. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00033-023-01970-6\">⟨10.1007/s00033-023-01970-6⟩</a>",
"citationFull_s":"Clément Cancès, Claire Chainais-Hillairet, Benoît Merlet, Federica Raimondi, Juliette Venel. Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion. <i>Zeitschrift für Angewandte Mathematik und Physik = Journal of Applied mathematics and physics = Journal de mathématiques et de physique appliquées</i>, 2023, 74 (3), pp.96. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00033-023-01970-6\">⟨10.1007/s00033-023-01970-6⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03549457v2\">⟨hal-03549457v2⟩</a>",
"title_s":["Mathematical analysis of a thermodynamically consistent reduced model for iron corrosion"],
"authFullName_s":["Clément Cancès","Claire Chainais-Hillairet","Benoît Merlet","Federica Raimondi","Juliette Venel"],
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"citationFull_s":"Clément Cancès, Claire Chainais-Hillairet, Benoît Merlet, Federica Raimondi, Juliette Venel. Thermodynamically consistent modelling of the corrosion of iron in the context of deep subsurface nuclear waste repositories. EURAD joint program. 2023. <a target=\"_blank\" href=\"https://hal.science/hal-04210782v1\">⟨hal-04210782⟩</a>",
"title_s":["Thermodynamically consistent modelling of the corrosion of iron in the context of deep subsurface nuclear waste repositories"],
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"citationRef_s":"<i>Journal de l'École polytechnique — Mathématiques</i>, 2021, 9, pp.63-100. <a target=\"_blank\" href=\"https://dx.doi.org/10.5802/jep.178\">⟨10.5802/jep.178⟩</a>",
"citationFull_s":"Benoît Merlet, Marc Pegon. Large mass rigidity for a liquid drop model in 2D with kernels of finite moments. <i>Journal de l'École polytechnique — Mathématiques</i>, 2021, 9, pp.63-100. <a target=\"_blank\" href=\"https://dx.doi.org/10.5802/jep.178\">⟨10.5802/jep.178⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03181775v3\">⟨hal-03181775v3⟩</a>",
"title_s":["Large mass rigidity for a liquid drop model in 2D with kernels of finite moments","Rigidité pour un modèle de goutte liquide en 2D avec des noyaux de moments finis et dans le régime des grandes masses"],
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"citationRef_s":"<i>Advances in Calculus of Variation</i>, 2021, 14 (3), pp.343--363. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/acv-2018-0079\">⟨10.1515/acv-2018-0079⟩</a>",
"citationFull_s":"Antonin Chambolle, Luca Alberto Davide Ferrari, Benoît Merlet. Strong approximation in h-mass of rectifiable currents under homological constraint. <i>Advances in Calculus of Variation</i>, 2021, 14 (3), pp.343--363. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/acv-2018-0079\">⟨10.1515/acv-2018-0079⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01813234v1\">⟨hal-01813234⟩</a>",
"title_s":["Strong approximation in h-mass of rectifiable currents under homological constraint"],
"authFullName_s":["Antonin Chambolle","Luca Alberto Davide Ferrari","Benoît Merlet"],
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"citationRef_s":"<i>Stochastics and Partial Differential Equations: Analysis and Computations</i>, 2021, 9 (4), pp.789-818. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s40072-020-00185-4\">⟨10.1007/s40072-020-00185-4⟩</a>",
"citationFull_s":"François Alouges, Anne de Bouard, Benoît Merlet, Léa Nicolas. Stochastic homogenization of the Landau-Lifshitz-Gilbert equation. <i>Stochastics and Partial Differential Equations: Analysis and Computations</i>, 2021, 9 (4), pp.789-818. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s40072-020-00185-4\">⟨10.1007/s40072-020-00185-4⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02020241v1\">⟨hal-02020241⟩</a>",
"title_s":["Stochastic homogenization of the Landau-Lifshitz-Gilbert equation","Homogénéisation stochastique de l'équation de Landau-Lifshitz-Gilbert"],
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"citationRef_s":"<i>Annali della Scuola Normale Superiore di Pisa, Classe di Scienze</i>, 2021, 22 (3), pp.1473--1509. <a target=\"_blank\" href=\"https://dx.doi.org/10.2422/2036-2145.201906_006\">⟨10.2422/2036-2145.201906_006⟩</a>",
"citationFull_s":"Michael Goldman, Benoît Merlet. Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates. <i>Annali della Scuola Normale Superiore di Pisa, Classe di Scienze</i>, 2021, 22 (3), pp.1473--1509. <a target=\"_blank\" href=\"https://dx.doi.org/10.2422/2036-2145.201906_006\">⟨10.2422/2036-2145.201906_006⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-02132896v1\">⟨hal-02132896⟩</a>",
"title_s":["Non-convex functionals penalizing simultaneous oscillations along independent directions: rigidity estimates"],
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"citationRef_s":"<i>Annales de l'Institut Fourier</i>, 2020, Université de Grenoble. Annales de l'Institut Fourier, 70 (6), pp.2583--2675",
"citationFull_s":"Michael Goldman, Benoît Merlet, Vincent Millot. A Ginzburg-Landau model with topologically induced free discontinuities. <i>Annales de l'Institut Fourier</i>, 2020, Université de Grenoble. Annales de l'Institut Fourier, 70 (6), pp.2583--2675. <a target=\"_blank\" href=\"https://hal.science/hal-01643795v1\">⟨hal-01643795⟩</a>",
"title_s":["A Ginzburg-Landau model with topologically induced free discontinuities"],
"authFullName_s":["Michael Goldman","Benoît Merlet","Vincent Millot"],
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"producedDateY_i":2020
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"citationRef_s":"<i>ESAIM: Control, Optimisation and Calculus of Variations</i>, 2019, 25 (2019) (43), pp.39. <a target=\"_blank\" href=\"https://dx.doi.org/10.1051/cocv/2018027\">⟨10.1051/cocv/2018027⟩</a>",
"citationFull_s":"Antonin Chambolle, Luca Alberto Davide Ferrari, Benoît Merlet. Variational approximation of size-mass energies for k-dimensional currents. <i>ESAIM: Control, Optimisation and Calculus of Variations</i>, 2019, 25 (2019) (43), pp.39. <a target=\"_blank\" href=\"https://dx.doi.org/10.1051/cocv/2018027\">⟨10.1051/cocv/2018027⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01622540v3\">⟨hal-01622540v3⟩</a>",
"title_s":["Variational approximation of size-mass energies for k-dimensional currents"],
"authFullName_s":["Antonin Chambolle","Luca Alberto Davide Ferrari","Benoît Merlet"],
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"citationRef_s":"<i>Rendiconti del Seminario Matematico</i>, 2019, 77 (2)",
"citationFull_s":"Michael Goldman, Benoît Merlet. Recent results on non-convex functionals penalizing oblique oscillations. <i>Rendiconti del Seminario Matematico</i>, 2019, 77 (2). <a target=\"_blank\" href=\"https://hal.science/hal-02382214v1\">⟨hal-02382214⟩</a>",
"title_s":["Recent results on non-convex functionals penalizing oblique oscillations"],
"authFullName_s":["Michael Goldman","Benoît Merlet"],
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"producedDateY_i":2019
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"citationRef_s":"<i>Advances in Calculus of Variation</i>, 2019, 12 (2), pp.157-179. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/acv-2016-0034\">⟨10.1515/acv-2016-0034⟩</a>",
"citationFull_s":"Antonin Chambolle, Luca Alberto Davide Ferrari, Benoît Merlet. A phase-field approximation of the Steiner problem in dimension two. <i>Advances in Calculus of Variation</i>, 2019, 12 (2), pp.157-179. <a target=\"_blank\" href=\"https://dx.doi.org/10.1515/acv-2016-0034\">⟨10.1515/acv-2016-0034⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01359483v2\">⟨hal-01359483v2⟩</a>",
"title_s":["A phase-field approximation of the Steiner problem in dimension two"],
"authFullName_s":["Antonin Chambolle","Luca Alberto Davide Ferrari","Benoît Merlet"],
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"citationRef_s":"<i>FVCA8 2017 - International Conference on Finite Volumes for Complex Applications VIII</i>, Jun 2017, Lille, France. pp.285-292, <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/978-3-319-57397-7_21\">⟨10.1007/978-3-319-57397-7_21⟩</a>",
"citationFull_s":"Claire Chainais-Hillairet, Antoine Zurek, Benoît Merlet. Design and analysis of a finite volume scheme for a concrete carbonation model. <i>FVCA8 2017 - International Conference on Finite Volumes for Complex Applications VIII</i>, Jun 2017, Lille, France. pp.285-292, <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/978-3-319-57397-7_21\">⟨10.1007/978-3-319-57397-7_21⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01645137v1\">⟨hal-01645137⟩</a>",
"title_s":["Design and analysis of a finite volume scheme for a concrete carbonation model"],
"authFullName_s":["Claire Chainais-Hillairet","Antoine Zurek","Benoît Merlet"],
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"citationRef_s":"<i>SIAM Journal on Mathematical Analysis</i>, 2017, 49 (3), pp.1947-1981. <a target=\"_blank\" href=\"https://dx.doi.org/10.1137/15M1051105\">⟨10.1137/15M1051105⟩</a>",
"citationFull_s":"Michael Goldman, Benoît Merlet. Phase segregation for binary mixtures of Bose-Einstein Condensates. <i>SIAM Journal on Mathematical Analysis</i>, 2017, 49 (3), pp.1947-1981. <a target=\"_blank\" href=\"https://dx.doi.org/10.1137/15M1051105\">⟨10.1137/15M1051105⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01155676v3\">⟨hal-01155676v3⟩</a>",
"title_s":["Phase segregation for binary mixtures of Bose-Einstein Condensates"],
"authFullName_s":["Michael Goldman","Benoît Merlet"],
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"citationRef_s":"<i>AIMS Mathematics</i>, 2016, Nonlinear Evolution PDEs, Interfaces and Applications, 1 (3), pp.178-194. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/Math.2016.3.178\">⟨10.3934/Math.2016.3.178⟩</a>",
"citationFull_s":"Paola Francesca Antonietti, Benoît Merlet, Morgan Pierre, Marco Verani. Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation. <i>AIMS Mathematics</i>, 2016, Nonlinear Evolution PDEs, Interfaces and Applications, 1 (3), pp.178-194. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/Math.2016.3.178\">⟨10.3934/Math.2016.3.178⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-01355956v1\">⟨hal-01355956⟩</a>",
"title_s":["Convergence to equilibrium for a second-order time semi-discretization of the Cahn-Hilliard equation"],
"authFullName_s":["Paola Francesca Antonietti","Benoît Merlet","Morgan Pierre","Marco Verani"],
"halId_s":"hal-01355956",
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"producedDateY_i":2016
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"citationRef_s":"<i>Journal of Fluid Mechanics</i>, 2015, 769, pp.369-386. <a target=\"_blank\" href=\"https://dx.doi.org/10.1017/jfm.2015.101\">⟨10.1017/jfm.2015.101⟩</a>",
"citationFull_s":"Aline Lefebvre-Lepot, Benoit Merlet, Thanh Nhan Nguyen. An accurate method to include lubrication forces in numerical simulations of dense Stokesian suspensions. <i>Journal of Fluid Mechanics</i>, 2015, 769, pp.369-386. <a target=\"_blank\" href=\"https://dx.doi.org/10.1017/jfm.2015.101\">⟨10.1017/jfm.2015.101⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03030560v1\">⟨hal-03030560⟩</a>",
"title_s":["An accurate method to include lubrication forces in numerical simulations of dense Stokesian suspensions"],
"authFullName_s":["Aline Lefebvre-Lepot","Benoit Merlet","Thanh Nhan Nguyen"],
"halId_s":"hal-03030560",
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"citationRef_s":"<i>Archive for Rational Mechanics and Analysis</i>, 2015, 217 (2), pp.651--680. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00205-014-0839-5\">⟨10.1007/s00205-014-0839-5⟩</a>",
"citationFull_s":"Benoit Merlet. A highly anisotropic nonlinear elasticity model for vesicles I. Eulerian formulation, rigidity estimates and vanishing energy limit. <i>Archive for Rational Mechanics and Analysis</i>, 2015, 217 (2), pp.651--680. <a target=\"_blank\" href=\"https://dx.doi.org/10.1007/s00205-014-0839-5\">⟨10.1007/s00205-014-0839-5⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-00848547v5\">⟨hal-00848547v5⟩</a>",
"title_s":["A highly anisotropic nonlinear elasticity model for vesicles I. Eulerian formulation, rigidity estimates and vanishing energy limit"],
"authFullName_s":["Benoit Merlet"],
"halId_s":"hal-00848547",
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"producedDateY_i":2015
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"citationRef_s":"2013",
"citationFull_s":"Benoit Merlet. A highly anisotropic nonlinear elasticity model for vesicles. II. Derivation of the thin bilayer bending theory. 2013. <a target=\"_blank\" href=\"https://hal.science/hal-00848552v2\">⟨hal-00848552v2⟩</a>",
"title_s":["A highly anisotropic nonlinear elasticity model for vesicles. II. Derivation of the thin bilayer bending theory"],
"authFullName_s":["Benoit Merlet"],
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"citationRef_s":"<i>Discrete and Continuous Dynamical Systems - Series B</i>, 2013, 18 (5), pp.1189-1215. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/dcdsb.2013.18.1189\">⟨10.3934/dcdsb.2013.18.1189⟩</a>",
"citationFull_s":"François Alouges, Antonio Desimone, Luca Heltai, Aline Lefebvre-Lepot, Benoît Merlet. Optimally swimming stokesian robots. <i>Discrete and Continuous Dynamical Systems - Series B</i>, 2013, 18 (5), pp.1189-1215. <a target=\"_blank\" href=\"https://dx.doi.org/10.3934/dcdsb.2013.18.1189\">⟨10.3934/dcdsb.2013.18.1189⟩</a>. <a target=\"_blank\" href=\"https://hal.science/hal-03030574v1\">⟨hal-03030574⟩</a>",
"title_s":["Optimally swimming stokesian robots"],
"authFullName_s":["François Alouges","Antonio Desimone","Luca Heltai","Aline Lefebvre-Lepot","Benoît Merlet"],
"halId_s":"hal-03030574",
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"producedDateY_i":2013
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"citationRef_s":"2011",
"citationFull_s":"François Alouges, Adeline Augier, Benjamin Graille, Benoit Merlet. Homogenization of a coupled problem for sound propagation in porous media. 2011. <a target=\"_blank\" href=\"https://hal.science/hal-00623679v1\">⟨hal-00623679⟩</a>",
"title_s":["Homogenization of a coupled problem for sound propagation in porous media"],
"authFullName_s":["François Alouges","Adeline Augier","Benjamin Graille","Benoit Merlet"],
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"producedDateY_i":2011
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"citationRef_s":"<i>ESAIM: Proceedings</i>, 2009, CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids, 28, pp.195-210. <a target=\"_blank\" href=\"https://dx.doi.org/10.1051/proc/2009047\">⟨10.1051/proc/2009047⟩</a>",
"citationFull_s":"Laurent Boudin, Benjamin Boutin, Bruno Fornet, Thierry Goudon, Pauline Lafitte, et al.. Fluid-particles flows: a thin spray model with energy exchanges. <i>ESAIM: Proceedings</i>, 2009, CEMRACS 2008 - Modelling and Numerical Simulation of Complex Fluids, 28, pp.195-210. <a target=\"_blank\" href=\"https://dx.doi.org/10.1051/proc/2009047\">⟨10.1051/proc/2009047⟩</a>. <a target=\"_blank\" href=\"https://inria.hal.science/inria-00543156v1\">⟨inria-00543156⟩</a>",
"title_s":["Fluid-particles flows: a thin spray model with energy exchanges"],
"authFullName_s":["Laurent Boudin","Benjamin Boutin","Bruno Fornet","Thierry Goudon","Pauline Lafitte","Frédéric Lagoutière","Benoit Merlet"],
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"producedDateY_i":2009
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"citationRef_s":"2009",
"citationFull_s":"Emmanuel Audusse, Pierre Dreyfuss, Benoit Merlet. Optimized Schwarz waveform relaxation for Primitive Equations of the ocean. 2009. <a target=\"_blank\" href=\"https://hal.science/hal-00386817v1\">⟨hal-00386817⟩</a>",
"title_s":["Optimized Schwarz waveform relaxation for Primitive Equations of the ocean"],
"authFullName_s":["Emmanuel Audusse","Pierre Dreyfuss","Benoit Merlet"],
"halId_s":"hal-00386817",
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