Publications

L. Boudin, L. Trussardi (2024). Concentration effects in a kinetic model with wealth and knowledge exchanges. Accepté pour publication dans La Matematica.

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L. Boudin, B. Grec, M. Pavić-Čolić, S. Simić (2023). Energy method for the Boltzmann equation of monatomic gaseous mixtures. Communications in Mathematical Sciences.

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L. Boudin, C. Grandmont, B. Grec, S. Martin (2023). A coupled model for the dynamics of gas exchanges in the human lung with Haldane and Bohr's effects. Journal of Theoretical Biology.

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T. Borsoni, L. Boudin, F. Salvarani (2023). Compactness property of the linearized Boltzmann operator for a polyatomic gas undergoing resonant collisions. Journal of Mathematical Analysis and Applications.

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L. Boudin, A. Rossi, F. Salvarani (2022). A kinetic model of polyatomic gas with resonant collisions. Ricerche di Matematica.

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L. Boudin, F. Salvarani, E. Trélat (2022). Exponential convergence towards consensus for non-symmetric linear first-order systems in finite and infinite dimensions. SIAM Journal on Mathematical Analysis.

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L. Boudin, D. Michel (2021). Three-dimensional numerical study of a fluid-kinetic model for respiratory aerosols with variable size and temperature. Journal of Computational & Theoretical Transport.

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L. Boudin, D. Michel, A. Moussa (2020). Global existence of weak solutions to the incompressible Vlasov-Navier-Stokes system coupled to convection-diffusion equations. Mathematical Models & Methods in Applied Sciences.

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L. Boudin, C. Grandmont, B. Grec, S. Martin, A. Mecherbet, F. Noël (2020). Fluid-kinetic modelling for respiratory aerosols with variable size and temperature. CEMRACS 2018 – Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions, ESAIM: Proceedings and Surveys.

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A. Bondesan, L. Boudin, M. Briant, B. Grec (2020). Stability of the spectral gap for the Boltzmann multi-species operator linearized around non-equilibrium Maxwell distributions. Communications on Pure & Applied Analysis.

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L. Boudin, B. Grec, V. Pavan (2019). Diffusion models for mixtures using a stiff dissipative hyperbolic formalism. Journal of Hyperbolic Differential Equations.

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A. Bondesan, L. Boudin, B. Grec (2019). A numerical scheme for a kinetic model for mixtures in the diffusive limit using the moment method. Numerical Methods for Partial Differential Equations.

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L. Boudin, B. Grec, V. Pavan (2017). The Maxwell-Stefan diffusion limit for a kinetic model of mixtures with general cross sections. Nonlinear Analysis.

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L. Boudin, C. Grandmont, A. Moussa (2017). Global existence of solutions to the incompressible Navier-Stokes-Vlasov equations in a time-dependent domain. Journal of Differential Equations.

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L. Boudin, F. Salvarani (2016). Opinion dynamics: Kinetic modelling with mass media, application to the Scottish independence referendum. Physica A.

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L. Boudin, C. Rigault, L. Vecellio (2016). Model of deposition for hygroscopic nanometric aerosol in the human respiratory tract. Résumé de communication l'European Aerosol Conference, Tours, France.

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L. Boudin, F. Salvarani (2016). Compactness of linearized kinetic operators. Actes du Congrès From Particle Systems to Partial Differential Equations III, Braga, Portugal, éditrices Patricia Gonçalves, Ana Jacinta Soares.

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L. Boudin, B. Grec, F. Salvarani (2015). The Maxwell-Stefan diffusion limit for a kinetic model of mixtures. Acta Applicandae Mathematicae.

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L. Boudin, C. Grandmont, A. Lorz, A. Moussa (2015). Modelling and Numerics for Respiratory Aerosols. Communications in Computational Physics.

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L. Boudin, J. Mathiaud (2014). Asymptotic behavior of a diffusive scheme solving the inviscid one-dimensional pressureless gases system. Actes du Congrès HYP'2012.

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L. Boudin, B. Grec, M. Pavić, F. Salvarani (2013). Diffusion asymptotics of a kinetic model for gaseous mixtures. Kinetic & Related Models.

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L. Boudin, B. Grec, M. Pavić-Čolić, F. Salvarani (2013). A kinetic model for polytropic gases with internal energy. Proceedings in Applied Mathematics and Mechanics.

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L. Boudin, A. Mercier, F. Salvarani (2012). Conciliatory and contradictory dynamics in opinion formation. Physica A.

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L. Boudin, J. Mathiaud (2012). A numerical scheme for the one-dimensional pressureless gases system. Numerical Methods for Partial Differential Equations.

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L. Boudin, B. Grec, F. Salvarani (2012). A mathematical and numerical analysis of the Maxwell-Stefan diffusion equations. Discrete and Continuous Dynamical Systems Series B.

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L. Boudin (2011). Modélisation cinétique et hydrodynamique pour la physique, la chimie et la santé, analyse mathématique et numérique. HDR, Université Pierre et Marie Curie.

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A. Blouza, L. Boudin, S. M. Kaber (2010). Parallel in time algorithms with reduction methods for solving chemical kinetics. Communications in Applied Mathematics and Computational Science.

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L. Boudin, F. Salvarani (2010). Modelling opinion formation by means of kinetic equations. Mathematical modeling of collective behavior in socio-economic and life sciences, in: G. Naldi, L. Pareschi, G. Toscani G. éditeurs, Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences. Collection Modeling and Simulation in Science, Engineering and Technology, Birkhäuser.

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L. Boudin, R. Monaco, F. Salvarani (2010). Kinetic model for multidimensional opinion formation. Physical Review E.

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L. Boudin, C. Grandmont, B. Grec, D. Yakoubi (2010). Influence of the spray retroaction on the airflow. CEMRACS 2009 – Mathematical Modelling in Medicine, ESAIM: Proceedings.

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L. Boudin, D. Goetz, B. Grec (2010). Diffusion models of multicomponent mixtures in the lung. CEMRACS 2009 – Mathematical Modelling in Medicine, ESAIM: Proceedings and Surveys.

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L. Boudin, F. Salvarani (2009). The quasi-invariant limit for a kinetic model of sociological collective behavior. Kinetic & Related Models.

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L. Boudin, L. Desvillettes, C. Grandmont, A. Moussa (2009). Global existence of solutions for the coupled Vlasov and Navier-Stokes equations. Differential and Integral Equations.

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L. Boudin, B. Boutin, B. Fornet, T. Goudon, P. Lafitte, F. Lagoutière, B. Merlet (2009). Fluid-particles flows: a thin spray model with energy exchanges. CEMRACS 2008 – Modelling and numerical simulation of complex fluids, ESAIM: Proceedings.

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A. Moussa, T. Duparque, C. Grandmont, M. Grasseau, M. Thiriet, L. Boudin, P. Diot, L. Vecellio (2009). Aerosol deposition in a ventilator circuit: comparison between experimental results and numerical computations. International Society for Aerosols in Medicine Conference, 2009, Journal of Aerosol Medicine and Pulmonary Drug Delivery.

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L. Boudin, F. Salvarani (2009). A kinetic approach to the study of opinion formation. ESAIM: Mathematical Modelling and Numerical Analysis.

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L. Boudin, L. Weynans (2008). Spray impingement on a wall in the context of the upper airways. Mathematical and numerical modelling of the human lung, ESAIM: Proceedings.

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C. Baranger, L. Boudin, P.-E. Jabin, S. Mancini (2005). A modeling of biospray for the upper airways. CEMRACS 2004 – Mathematics and applications to biology and medicine, ESAIM: Proceedings.

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C. Baranger, G. Baudin, L. Boudin, B. Després, F. Lagoutière, E. Lapébie, T. Takahashi (2005). Liquid jet generation and break-up. Numerical methods for hyperbolic and kinetic problems, CEMRACS 2003.

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L. Boudin, L. Desvillettes, R. Motte (2003). A modeling of compressible droplets in a fluid. Communications in Mathematical Sciences.

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L. Boudin (2000). Étude d'équations aux dérivées partielles cinétiques et hyperboliques de la physique. Thèse, Université d’Orléans.

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L. Boudin, L. Desvillettes, R. Motte (2000). A particle-gas model for compressible droplets. Actes du Congrès Trends in numerical and physical modeling for industrial multiphase flows, Cargèse, France.

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L. Boudin, L. Desvillettes (2000). On the singularities of the global small solutions of the full Boltzmann equation. Monatshefte für Mathematik.

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L. Boudin (2000). A solution with bounded expansion rate to the model of viscous pressureless gases. SIAM Journal on Mathematical Analysis.

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