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tel-00135114v1  Thèse
Nicolas VaucheletModélisation mathématique du transport diffusif de charges partiellement quantiques.
Mathématiques [math]. Université Paul Sabatier - Toulouse III, 2006. Français
hal-00378536v1  Article dans une revue
Naoufel Ben AbdallahFlorian MéhatsNicolas VaucheletDiffusive transport of partially quantized particles: Existence, uniqueness and long time behaviour
Proceedings of the Edinburgh Mathematical Society, Cambridge University Press (CUP), 2006, 49 (3), pp.513-549. <10.1017/S0013091504000987>
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hal-01066494v1  Article dans une revue
Benoît PerthameNicolas VaucheletIncompressible limit of mechanical model of tumor growth with viscosity
Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences (1934–1990), Royal Society, The, 2015, 373, pp.20140283. <10.1098/rsta.2014.0283 >
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hal-01157578v1  Article dans une revue
Casimir EmakoJie LiaoNicolas VaucheletSynchronising and non-synchronising dynamics for a two-species aggregation model
Discrete and Continuous Dynamical Systems - Series B (DCDS-B), American Institute of Mathematical Sciences, 2017, 22 (6), pp. 2121 - 2146. <https://aimsciences.org/journals/displayArticlesnew.jsp?paperID=13844>. <10.3934/dcdsb.2017088>
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hal-00906168v1  Article dans une revue
Benoît PerthameFernando QuirósMin TangNicolas VaucheletDerivation of a Hele-Shaw type system from a cell model with active motion
Interfaces and Free Boundaries, European Mathematical Society, 2014, 14 (4), pp.489-508. <10.4171/IFB/327>
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hal-00712086v1  Article dans une revue
Paola PietraNicolas VaucheletNumerical simulation of an energy-transport model for partially quantized particles
Communications in Mathematical Sciences, International Press, 2014, 12 (1), pp.99-123
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hal-00605479v3  Article dans une revue
Francois JamesNicolas VaucheletChemotaxis: from kinetic equations to aggregate dynamics
Nonlinear Differential Equations and Applications NoDEA, 2013, 20 (1), pp.101-127. <10.1007/s00030-012-0155-4>
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hal-00772653v1  Communication dans un congrès
Francois JamesNicolas VaucheletNumerical simulation of a hyperbolic model for chemotaxis after blow up
F. Ancona, A. Bressan, P. Marcati, A. Marson. 14th International Conference on Hyperbolic Problems, 2012, Padova, Italy. AIMS Series on Applied Mathematics, 8, pp.693-700, 2014
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hal-01159939v1  Article dans une revue
Clément JourdanaNicolas VaucheletHybrid fluid-quantum coupling for the simulation of the transport of partially quantized particles in a DG-MOSFET
Nanoscale Systems: Mathematical Modeling, Theory and Applications, De Gruyter, 2015, 4 (1), pp.1-17. <10.1515/nsmmt-2015-0001>
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hal-00844174v1  Article dans une revue
Nicolas VaucheletNumerical simulation of a kinetic model for chemotaxis
Kinetic and Related Models , AIMS, 2010, 3 (3), pp.501-528. <10.3934/krm.2010.3.501>
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hal-00593984v1  Article dans une revue
Clément JourdanaNicolas VaucheletAnalysis of a diffusive effective mass model for nanowires
Kinetic and Related Models , AIMS, 2011, 4 (4), pp.1121-1142
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hal-01264980v2  Article dans une revue
Martin StrugarekNicolas VaucheletReduction to a single closed equation for 2 by 2 reaction-diffusion systems of Lotka-Volterra type
SIAM Journal on Applied Mathematics, Society for Industrial and Applied Mathematics, 2016, 76 (5), pp.2060-2080
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hal-00591119v1  Article dans une revue
Francois JamesNicolas VaucheletA remark on duality solutions for some weakly nonlinear scalar conservation laws
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2011, 349, pp.657-661. <10.1016/j.crma.2011.05.004>
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hal-00685063v1  Article dans une revue
Min TangNicolas VaucheletIbrahim CheddadiIrene Vignon-ClementelDirk Drasdo et al.  Composite waves for a cell population system modelling tumor growth and invasion
Chinese Annals of Mathematics - Series B, Springer Verlag, 2013, 34B (2), pp.295-318. <10.1007/s11401-007-0001-x>
hal-00378933v1  Article dans une revue
Naoufel Ben AbdallahFlorian MéhatsNicolas VaucheletA note on the long time behavior for the Drift-Diffusion-Poisson system
Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2004, 339, pp.683-688. <10.1016/j.crma.2004.09.025>
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hal-00931399v1  Article dans une revue
Benoît PerthameMin TangNicolas VaucheletTraveling wave solution of the Hele-Shaw model of tumor growth with nutrient
Mathematical Models and Methods in Applied Sciences, World Scientific Publishing, 2014, 24 (13), pp.2601-2626
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hal-00803709v3  Article dans une revue
Francois JamesNicolas VaucheletEquivalence between duality and gradient flow solutions for one-dimensional aggregation equations
Discrete and Continuous Dynamical Systems - Series A, American Institute of Mathematical Sciences, 2016, 36 (3), pp.1355-1382
hal-00905329v1  Article dans une revue
Frédérique CharlesNicolas VaucheletC. BesseThierry GoudonIngrid Lacroix-Violet et al.  Numerical approximation of Knudsen layer for Euler-Poisson system
ESAIM: Proceedings, EDP Sciences, 2011, CEMRACS'10 research achievements: Numerical modeling of fusion, 32, pp.177--194. <10.1051/proc/2011020>
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hal-00955971v2  Article dans une revue
Francois JamesNicolas VaucheletNumerical methods for one-dimensional aggregation equations
SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2015, 53 (2), pp.895-916. <10.1137/140959997>
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