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Numerical simulation of a hyperbolic model for chemotaxis after blow up

 Francois James , Nicolas Vauchelet
14th International Conference on Hyperbolic Problems, F. Ancona, A. Bressan, P. Marcati, A. Marson, 2012, Padova, Italy. pp.693-700
Communication dans un congrès hal-00772653v1
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Final size and convergence rate for an epidemic in heterogeneous population

 Luís Almeida , Pierre-Alexandre Bliman , Grégoire Nadin , Benoît Perthame , Nicolas Vauchelet
Mathematical Models and Methods in Applied Sciences, 2021, 31 (05), pp.1021-1051
Article dans une revue hal-02981952v2
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On the Hilbert Method in the Kinetic Theory of Multicellular Systems: Hyperbolic Limits and Convergence Proof

 Mohamed Khaladi , Nisrine Outada , Nicolas Vauchelet
2019
Pré-publication, Document de travail hal-02195572v1
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Modélisation mathématique du transport diffusif de charges partiellement quantiques.

 Nicolas Vauchelet
Mathématiques [math]. Université Paul Sabatier - Toulouse III, 2006. Français. ⟨NNT : ⟩
Thèse tel-00135114v1
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Mosquito population control strategies for fighting against arboviruses

 Luís Almeida , Michel Duprez , Yannick Privat , Nicolas Vauchelet
Mathematical Biosciences and Engineering, 2019, 16 (6), pp.6274-6297. ⟨10.3934/mbe.2019313⟩
Article dans une revue hal-01984426v2
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Traveling Pulses for a Two-Species Chemotaxis Model

 Casimir Emako , Charlène Gayrard , Axel Buguin , Luís Neves de Almeida , Nicolas Vauchelet
PLoS Computational Biology, 2016, 12 (4), pp.e1004843. ⟨10.1371/journal.pcbi.1004843⟩
Article dans une revue hal-01302632v1
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Incompressible limit of mechanical model of tumor growth with viscosity

 Benoît Perthame , Nicolas Vauchelet
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934–1990), 2015, 373, pp.20140283. ⟨10.1098/rsta.2014.0283⟩
Article dans une revue hal-01066494v1
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Reduction to a single closed equation for 2 by 2 reaction-diffusion systems of Lotka-Volterra type

 Martin Strugarek , Nicolas Vauchelet
SIAM Journal on Applied Mathematics, 2016, 76 (5), pp.2060-2080
Article dans une revue hal-01264980v2
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On the hydrodynamical limit for a one dimensional kinetic model of cell aggregation by chemotaxis

 Francois James , Nicolas Vauchelet
Rivista di Matematica della Università di Parma, 2012, 3 (1), pp.91-113
Article dans une revue hal-00527338v1

A note on the long time behavior for the Drift-Diffusion-Poisson system

 Naoufel Ben Abdallah , Florian Méhats , Nicolas Vauchelet
Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2004, 339, pp.683-688. ⟨10.1016/j.crma.2004.09.025⟩
Article dans une revue hal-00378933v1
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Composite waves for a cell population system modelling tumor growth and invasion

 Min Tang , Nicolas Vauchelet , Ibrahim Cheddadi , Irene Vignon-Clementel , Dirk Drasdo , et al.
Chinese Annals of Mathematics - Series B, 2013, 34B (2), pp.295-318. ⟨10.1007/s11401-007-0001-x⟩
Article dans une revue hal-00685063v1
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Derivation of a Hele-Shaw type system from a cell model with active motion

 Benoît Perthame , Fernando Quirós , Min Tang , Nicolas Vauchelet
Interfaces and Free Boundaries : Mathematical Analysis, Computation and Applications, 2014, 14 (4), pp.489-508. ⟨10.4171/IFB/327⟩
Article dans une revue hal-00906168v1
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On the role of the epithelium in a model of sodium exchange in renal tubules

 Marta Marulli , Aurélie Edwards , Vuk Milišić , Nicolas Vauchelet
Mathematical Biosciences, 2020, 321, pp.108308
Article dans une revue hal-02439519v1
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Some examples of kinetic scheme whose diffusion limit is Il'in's exponential-fitting

 Laurent Gosse , Nicolas Vauchelet
Numerische Mathematik, 2019, 141 (3), pp.627-680
Article dans une revue hal-01590822v2
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Chemotaxis: from kinetic equations to aggregate dynamics

 François James , Nicolas Vauchelet
Nonlinear Differential Equations and Applications, 2013, 20 (1), pp.101-127. ⟨10.1007/s00030-012-0155-4⟩
Article dans une revue hal-00605479v3
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Hybrid fluid-quantum coupling for the simulation of the transport of partially quantized particles in a DG-MOSFET

 Clément Jourdana , Nicolas Vauchelet
Mathematics of Quantum Technologies, 2015, 4 (1), pp.1-17. ⟨10.1515/nsmmt-2015-0001⟩
Article dans une revue hal-01159939v1

Diffusive transport of partially quantized particles: Existence, uniqueness and long time behaviour

 Naoufel Ben Abdallah , Florian Méhats , Nicolas Vauchelet
Proceedings of the Edinburgh Mathematical Society, 2006, 49 (3), pp.513-549. ⟨10.1017/S0013091504000987⟩
Article dans une revue hal-00378536v1
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Incompressible limit of the Navier-Stokes model with a growth term

 Nicolas Vauchelet , Ewelina Zatorska
Nonlinear Analysis: Theory, Methods and Applications, 2017, 163, pp.34
Article dans une revue hal-01525856v1
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Incompressible limit of a mechanical model for tissue growth with non-overlapping constraint.

 Sophie Hecht , Nicolas Vauchelet
Communications in Mathematical Sciences, 2017, 15 (7), pp.1913
Article dans une revue hal-01477856v1
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Numerical simulation of an energy-transport model for partially quantized particles

 Paola Pietra , Nicolas Vauchelet
Communications in Mathematical Sciences, 2014, 12 (1), pp.99-123
Article dans une revue hal-00712086v1

Numerical approximation of Knudsen layer for Euler-Poisson system

 Frédérique Charles , Nicolas Vauchelet , Christophe Besse , Thierry Goudon , Ingrid Violet , et al.
ESAIM: Proceedings, 2011, CEMRACS'10 research achievements: Numerical modeling of fusion, 32, pp.177--194. ⟨10.1051/proc/2011020⟩
Article dans une revue hal-00905329v1
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The Flux Limited Keller-Segel System; Properties and Derivation from Kinetic Equations

 Benoît Perthame , Nicolas Vauchelet , Zhian Wang
Revista Matemática Iberoamericana, In press, 36 (2), ⟨10.4171/rmi/1132⟩
Article dans une revue hal-01689571v1
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Numerical methods for one-dimensional aggregation equations

 Francois James , Nicolas Vauchelet
SIAM Journal on Numerical Analysis, 2015, 53 (2), pp.895-916. ⟨10.1137/140959997⟩
Article dans une revue hal-00955971v2
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Oscillatory regimes in a mosquito population model with larval feedback on egg hatching

 Martin Strugarek , Laetitia Dufour , Nicolas Vauchelet , Luís Almeida , Benoît Perthame , et al.
Journal of Biological Dynamics, 2019, 13 (1), pp.269-300. ⟨10.1080/17513758.2019.1593524⟩
Article dans une revue hal-01674280v1
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Optimal control strategies for the sterile mosquitoes technique

 Luís Almeida , Michel Duprez , Yannick Privat , Nicolas Vauchelet
Journal of Differential Equations, 2022, 311, pp.229-266. ⟨10.1016/j.jde.2021.12.002⟩
Article dans une revue hal-02995414v4
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Optimal Release of Mosquitoes to Control Dengue Transmission

 Luís Almeida , Antoine Haddon , Claire Kermorvant , Alexis Léculier , Yannick Privat , et al.
ESAIM: Proceedings and Surveys, 2020, CEMRACS 2018 - Numerical and mathematical modeling for biological and medical applications: deterministic, probabilistic and statistical descriptions, 67, pp.16--29. ⟨10.1051/proc/202067002⟩
Article dans une revue hal-02115805v1
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Transversal instability for the thermodiffusive reaction-diffusion system

 Michal Kolwalczyk , Benoît Perthame , Nicolas Vauchelet
Chinese Annals of Mathematics - Series B, 2015, 36 (5), pp.871-882. ⟨10.1007/s11401-015-0981-x⟩
Article dans une revue hal-00939013v1
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Hindrances to bistable front propagation: application to Wolbachia invasion

 Grégoire Nadin , Martin Strugarek , Nicolas Vauchelet
2017
Pré-publication, Document de travail hal-01442291v1
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Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient

 Benoît Perthame , Min Tang , Nicolas Vauchelet
Mathematical Models and Methods in Applied Sciences, 2014, 24 (13), pp.2601-2626
Article dans une revue hal-00931399v1
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Convergence analysis of upwind type schemes for the aggregation equation with pointy potential

 François Delarue , Frédéric Lagoutìère , Nicolas Vauchelet
Annales Henri Lebesgue, In press, ⟨10.5802/ahl.30⟩
Article dans une revue hal-01591602v2
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