PUBLICATIONS SCIENTIFIQUES :
Mémoires
| [Ha] | S. Martin : |
| Modélisation et analyse mathématique de problèmes issus de la mécanique des fluides : applications à la tribologie et aux sciences du vivant Mémoire d'habilitation à diriger des recherches, Université Paris-Sud (2012). | |
| [Th] | S. Martin : |
| Contribution à la modélisation de phénomènes de frontière libre en mécanique des films minces Thèse de doctorat, Institut national des sciences appliquées de Lyon (2005). |
Articles
| [39] | A. Decoene, S. Martin, C. Meziane : |
| 3D simulation of active thin structures in a viscous fluid and application to mucociliary transport Prépublication, 34 pages (2023). | |
| [38] | L. Boudin, C. Grandmont, B. Grec, S. Martin : |
| A coupled model for the dynamics of gas exchanges in the human lung with Haldane and Bohr's effects Journal of Theoretical Biology, 573, 111590 (2023). | |
| [37] | R. Abergel, A. Chambaz, S. Martin, R. Pirracchio : |
| Algorithmes et modèles mathématiques pour la médecine personnalisée in « L'Interdisciplinarité. Voyages au-delà des disciplines », ouvrage collectif de la MITI (CNRS / Mission pour les initiatives transverses et interdisciplinaires), sous la direction de Martina Knoop, Stéphane Blanc et Mokrane Bouzeghoub, CNRS Éditions (2023). | |
| [36] | A. Decoene, F. Vergnet, S. Martin : |
| A continuum active structure model for the interaction of cilia with a viscous fluid ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, e202100534 (2023). | |
| [35] | A. Decoene, F. Vergnet, S. Martin : |
| A smooth extension method for transmission problems Prépublication, 35 pages (2019). | |
| [34] | S. Chibbaro, A. Decoene, S. Martin, F. Vergnet : |
| Irreversibility chaos and order in active particle suspensions, Physical Review Fluids, 6(1), 013104 (2021). | |
| [33] | C. Grandmont, S. Martin : |
| Existence of solutions and continuous and semi-discrete stability estimates for 3D/0D coupled systems modelling airflows and blood flows ESAIM: Mathematical Modelling and Numerical Analysis, 55(5), 2365–2419 (2021). | |
| [32] | S. Balac, L. Chupin, S. Martin : |
| Computation of the magnetic potential induced by a collection of spherical particles using series expansions ESAIM: Mathematical Modelling and Numerical Analysis, 54(4), 1073–1109 (2020). | |
| [31] | L. Boudin, C. Grandmont, B. Grec, S. Martin, A. Mecherbet, F. Noël : |
| Fluid-kinetic modelling for respiratory aerosols with variable size and temperature ESAIM: Proceedings & Surveys, 67, 100–119 (2020). | |
| [30] | A. Decoene, S. Martin, B. Maury : |
| Direct simulation of rigid particles in a viscoelastic fluid Journal of Non-Newtonian Fluid Mechanics, 260, 1–25 (2018). | |
| [29] | S. Bertoluzza, A. Decoene, L. Lacouture, S. Martin : |
| Local error analysis for the Stokes equations with a punctual source term Numerische Mathematik, 140(3), 677–701 (2018). | |
| [28] | S. Bertoluzza, A. Decoene, L. Lacouture, S. Martin : |
| Local error estimates of the finite element method for an elliptic problem with a Dirac source term Numerical Methods for Partial Differential Equations, 34(1), 97–120 (2018). | |
| [27] | L. Chupin, A. Ichim, S. Martin : |
| Stationary Oldroyd model with diffusive stress in thin pipes ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, 98(1), 147–172 (2018). | |
| [26] | F. Boyer, S. Martin : |
| Introducción al método de los elementos finitos [text in English] Revista Ciencias Matemáticas, 30(1), 1–84 (2016). | |
| [25] | L. Chupin, S. Martin : |
| Viscoelastic flows in a rough channel: a multiscale analysis Annales de l'Institut Henri Poincaré (C) Nonlinear Analysis, 34(2), 483–508 (2017). | |
| [24] | J. Fouchet-Incaux, C. Grandmont, S. Martin : |
| Numerical stability of coupling schemes in the 3D/0D modelling of airflows and blood flows Prépublication, 29 pages (2016). | |
| Modeling of the air flow in the human respiratory tract (abstract) (avec B. Maury) Fundamental & Clinical Pharmacology, 27 (suppl. 1), 89 (2013). | |
| Modeling of flow limitation phenomena in the human respiratory tract during forced expiration (abstract) (avec B. Maury) Fundamental & Clinical Pharmacology, 28 (suppl. 1), 75 (2014). | |
| [23] | H. Guénard, J.-B. Martinot, S. Martin, B. Maury, S. Lalande, C. Kays : |
| In vivo measurements of NO and CO conductance on haemoglobin and their overall lung transfer in humans Respiratory Physiology & Neurobiology, 228, 1–8 (2016). | |
| [22] | L. Chupin, S. Martin : |
| Stationary Oldroyd model with diffusive stress:
mathematical analysis of the model and vanishing diffusion process Journal of Non-Newtonian Fluid Mechanics, 218, 27–39 (2015). | |
| [21] | S. Martin, B. Maury : |
| Notion de résistance de l'arbre pulmonaire bronchique dans la ventilation respiratoire humaine in « Modéliser & simuler. Épistémologies et pratiques de la modélisation et de la simulation » (tome 2), sous la direction de Franck Varenne, Sébastien Dutreuil, Philippe Huneman & Marc Silberstein, Éditions Matériologiques, collection « Modélisations, simulations, systèmes complexes », Chapitre 14, pp. 493–524 (2014). | |
| [20] | S. Martin, C. Vázquez : |
| Homogenization of the layer-structured dam problem with isotropic permeability Nonlinear Analysis: Real World Applications, 14 (6), 2133–2151 (2013). | |
| [19] | S. Martin, B. Maury : |
| Modeling of the oxygen transfer in the respiratory process ESAIM: Mathematical Modelling and Numerical Analysis, 47(4), 935–960 (2013). | |
| An integrated nonlinear model for oxygen transfer into the blood (abstract) (avec L. Gouarin) Fundamental & Clinical Pharmacology, 26 (suppl. 1), 57 (2012). |
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| [18] | L. Chupin, S. Martin : |
| Rigorous derivation of the thin film approximation with roughness-induced correctors SIAM Journal on Mathematical Analysis, 44 (4), 3041–3070 (2012). | |
| [17] | D. Hilhorst, S. Martin, M. Mimura : |
| Singular limit of a competition-diffusion system with large interspecific interaction Journal of Mathematical Analysis and Applications, 390, 488–513 (2012). | |
| Spatial segregation limit of a competition-diffusion system with Dirichlet-Neumann boundary conditions in "Nonlinear Phenomena with Energy Dissipation: Mathematical Analysis, Modeling and Simulation" (eds: P. Colli, A. Damlamian, N. Kenmochi, M. Mimura & J. Sprekels), Gakuto International Series, Mathematical Sciences and Applications, 29, 167–176 (2008). | |
| [16] | G. Bayada, L. Chupin, S. Martin : |
| From the Phan-Thien Tanner / Oldroyd-B non-Newtonian model to the double shear thining Rabinowisch thin film model A.S.M.E. Journal of Tribology, 133 (3), 031802 (2011). | |
| [15] | A. Decoene, S. Martin, B. Maury : |
| Microscopic modelling of active bacterial suspensions Mathematical Modelling of Natural Phenomena, 6 (5), 98–129 (2011). | |
| Simulation of self-propelled chemotactic bacteria in a Stokes flow (avec A. Lorz et M. Tang) ESAIM: Proceedings, 30 (Mathematical Modelling in Medicine), 105–124 (2010). | |
| [14] | S. Khelladi, S. Martin, X. Nogueira, F. Bakir : |
| Higher-order preserving methods for unsteady finite volume solvers based on reproducing kernels: application to aeroacoustic problems AIAA-2010-3817, 16th AIAA/CEAS Aeroacoustics Conference, 7-9 june 2010, Stockholm, Sweden. | |
| [13] | S. Faure, S. Martin, B. Maury, T. Takahashi : |
| Towards the simulation of dense suspensions: a numerical tool ESAIM: Proceedings, 28 (Modelling and Numerical Simulation of Complex Fluids), 55–79 (2009). | |
| [12] | S. Martin, J. Vovelle : |
| Convergence of implicit finite volume methods for scalar conservation laws with discontinuous flux function ESAIM: Mathematical Modelling and Numerical Analysis, 42 (5), 699–728 (2008). | |
| [11] | S. Martin, T. Similowski, C. Straus, B. Maury : |
| Impact of respiratory mechanics model parameters on gas exchange efficiency ESAIM: Proceedings, 23 (Mathematical and Numerical Modelling of the Human Lung), 30–47 (2008). | |
| Numerical modelling of the smooth muscle action on the respiratory process (abstract) Fundamental & Clinical Pharmacology, 24 (suppl. 1), 18 (2010). | |
| [10] | S. Martin : |
| Influence of multiscale roughness patterns in cavitated flows: applications to journal bearings Mathematical Problems in Engineering, Volume 2008, Article ID 439319, 26 pages (2008). | |
| [9] | G. Bayada, L. Chupin, S. Martin : |
| Viscoelastic fluids in a thin domain Quarterly of Applied Mathematics, 65 (4), 625–651 (2007). | |
| Viscoelastic fluids in a thin domain: a mathematical study for a non-Newtonian lubrication problem in "Mathematical Modeling, Simulation, Visualization and E-learning" (ed: D. Konate), 315–322, Springer-Verlag (2008). | |
| [8] | S. Martin, J. Vovelle : |
| Large-time behavior of entropy solutions to scalar conservation laws on bounded domain Quarterly of Applied Mathematics, 65 (3), 425–450 (2007). | |
| Large-time behavior of entropy solutions to scalar conservation laws on bounded domain in "Hyperbolic Problems: Theory, Numerics, Applications'' (eds: S. Benzoni & D. Serre), 1069–1076, Springer-Verlag (2008). |
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| [7] | S. Martin : |
| First order quasilinear equations with boundary conditions in the L∞ framework Journal of Differential Equations, 236 (2), 375–406 (2007). | |
| [6] | J.I. Díaz, S. Martin : |
| On the instantaneous formation of cavitation in hydrodynamic lubrication Comptes Rendus Mecanique, 334 (11), 645–650 (2006). | |
| [5] | G. Bayada, S. Martin, C. Vázquez : |
| About a generalized Buckley-Leverett equation and lubrication multifluid flow European Journal of Applied Mathematics, 17 (5), 491–524 (2006). | |
| [4] | G. Bayada, S. Martin, C. Vázquez : |
| Micro-roughness effects in (elasto)hydrodynamic lubrication including a mass-flow preserving cavitation model Tribology International, 39 (12), 1707–1718 (2006). | |
| [3] | G. Bayada, S. Martin, C. Vázquez : |
| An asymptotic flow model of the Reynolds roughness including a mass-flow preserving cavitation model A.S.M.E. Journal of Tribology, 127 (4), 793–802 (2005). A.S.M.E. Tribology Division Award (Best Paper Award 2005). | |
| [2] | G. Bayada, S. Martin, C. Vázquez : |
| Homogenization of a nonlocal elastohydrodynamic lubrication problem: a new free boundary model Mathematical Models & Methods in Applied Sciences, 15 (12), 1923–1956 (2005). | |
| [1] | G. Bayada, S. Martin, C. Vázquez : |
| Two-scale homogenization of a hydrodynamic Elrod-Adams model Asymptotic Analysis, 44 (1-2), 75–110 (2005). | |
| Effets d'anisotropie par homogénéisation dans un problème à frontière libre Comptes Rendus Mathematique, 340 (7), 541–546 (2005). | |