Edit Profile (opens in new tab) Vauchelet, Nicolas Co-Author Distance Author ID: vauchelet.nicolas Published as: Vauchelet, Nicolas; Vauchelet, N. External Links: MGP Documents Indexed: 71 Publications since 2002, including 8 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 69 Co-Authors with 69 Joint Publications 1,698 Co-Co-Authors all top 5 Co-Authors 3 single-authored 12 Perthame, Benoît 8 Privat, Yannick 7 James, François 6 Duprez, Michel 6 Gosse, Laurent 6 Lagoutière, Frédéric 6 Strugarek, Martin 6 Tang, Min 5 Bliman, Pierre-Alexandre 4 Ben Abdallah, Naoufel 4 Jourdana, Clément 3 Delarue, François 3 Méhats, Florian 3 Pietra, Paola 2 Besse, Christophe 2 Bretti, Gabriella 2 Cheddadi, Ibrahim 2 de Almeida, Luís Neves 2 Drasdo, Dirk 2 Dudon, Jean-Paul 2 Emako, Casimir 2 Estrada, Jorge L. 2 Fabrèges, Benoît 2 Goudon, Thierry 2 Hecht, Sophie 2 Khaladi, Mohamed 2 Léculier, Alexis 2 Marulli, Marta 2 Milišić, Vuk 2 Nadin, Grégoire 2 Outada, Nisrine 2 Schmeiser, Christian 2 Vignon-Clementel, Irene E. 2 Zubelli, Jorge P. 1 Akrid, Thami 1 Arnau, Jesús Bellver 1 Buguin, Axel 1 Calvez, Vincent 1 Carrillo de la Plata, José Antonio 1 Cerreti, Fiammetta 1 Charles, Frédérique 1 Dębiec, Tomasz 1 Degond, Pierre 1 Dufour, Laetitia 1 Edwards, Aurélie 1 Emako-Kazianou, Casimir 1 Gayrard, Charlène 1 Grandmont, Céline 1 Haddon, Antoine 1 Hélie, Romane 1 Hivert, Hélène 1 Kermorvant, Claire 1 Kowalczyk, Michał 1 Lacroix-Violet, Ingrid 1 Le Balc’h, Kévin 1 Liao, Jie 1 Löcherbach, Eva 1 Martel, Sofiane 1 Navoret, Laurent 1 Nguyen, Nga T. T. 1 Peltier, Gwenaël 1 Poignard, Clair 1 Ribot, Magali 1 Schmidtchen, Markus 1 Tien, Tran Tan 1 Villela, Daniel A. M. 1 Wang, Zhian 1 Yasuda, Shugo 1 Zatorska, Ewelina all top 5 Serials 5 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Networks and Heterogeneous Media 3 Kinetic and Related Models 3 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 2 Journal of Mathematical Biology 2 Journal of Differential Equations 2 SIAM Journal on Numerical Analysis 2 Chinese Annals of Mathematics. Series B 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 2 Communications in Mathematical Sciences 2 Mathematical Biosciences and Engineering 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Mathematical Analysis and Applications 1 Journal of Statistical Physics 1 Mathematical Biosciences 1 Nonlinearity 1 Journal of Optimization Theory and Applications 1 Monatshefte für Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Revista Matemática Iberoamericana 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Scientific Computing 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Multiscale Modeling & Simulation 1 Journal of Biological Dynamics 1 Mathematical Modelling of Natural Phenomena 1 Rivista di Matematica della Università di Parma. New Series 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 Philosophical Transactions A. Royal Society of London 1 Annales Henri Lebesgue all top 5 Fields 48 Partial differential equations (35-XX) 41 Biology and other natural sciences (92-XX) 24 Numerical analysis (65-XX) 16 Statistical mechanics, structure of matter (82-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Fluid mechanics (76-XX) 4 Ordinary differential equations (34-XX) 4 Integral equations (45-XX) 4 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 General and overarching topics; collections (00-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 57 Publications have been cited 476 times in 277 Documents Cited by ▼ Year ▼ Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294 Perthame, Benoît; Vauchelet, Nicolas 32 2015 Chemotaxis: from kinetic equations to aggregate dynamics. Zbl 1270.35048 James, F.; Vauchelet, N. 30 2013 The Filippov characteristic flow for the aggregation equation with mildly singular potentials. Zbl 1323.35005 Carrillo, J. A.; James, F.; Lagoutière, F.; Vauchelet, N. 25 2016 Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient. Zbl 1366.92065 Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 24 2014 Travelling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities. Zbl 1223.35102 Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas 23 2011 Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway. Zbl 1358.35207 Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 21 2016 Numerical methods for one-dimensional aggregation equations. Zbl 1318.65060 James, Francois; Vauchelet, Nicolas 18 2015 A note on the long time behavior for the drift-diffusion-Poisson system. Zbl 1056.35023 Ben Abdallah, Naoufel; Méhats, Florian; Vauchelet, Nicolas 16 2004 The flux limited Keller-Segel system; properties and derivation from kinetic equations. Zbl 1441.35056 Perthame, Benoît; Vauchelet, Nicolas; Wang, Zhian 15 2020 Convergence order of upwind type schemes for transport equations with discontinuous coefficients. Zbl 1378.65163 Delarue, François; Lagoutière, Frédéric; Vauchelet, Nicolas 13 2017 Numerical high-field limits in two-stream kinetic models and 1D aggregation equations. Zbl 1457.65051 Gosse, Laurent; Vauchelet, Nicolas 12 2016 Mosquito population control strategies for fighting against arboviruses. Zbl 1470.92276 Almeida, Luis; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas 12 2019 Incompressible limit of a mechanical model for tissue growth with non-overlapping constraint. Zbl 1384.35040 Hecht, Sophie; Vauchelet, Nicolas 11 2017 Hindrances to bistable front propagation: application to Wolbachia invasion. Zbl 1411.34039 Nadin, Grégoire; Strugarek, Martin; Vauchelet, Nicolas 11 2018 Optimal releases for population replacement strategies: application to Wolbachia. Zbl 1421.92029 Almeida, Luis; Privat, Yannick; Strugarek, Martin; Vauchelet, Nicolas 11 2019 Incompressible limit of a continuum model of tissue growth for two cell populations. Zbl 1445.35285 Degond, Pierre; Hecht, Sophie; Vauchelet, Nicolas 11 2020 Incompressible limit for a two-species model with coupling through Brinkman’s law in any dimension. Zbl 1458.35421 Dębiec, Tomasz; Perthame, Benoît; Schmidtchen, Markus; Vauchelet, Nicolas 11 2021 Numerical simulation of a kinetic model for chemotaxis. Zbl 1215.92007 Vauchelet, Nicolas 11 2010 Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations. Zbl 1353.35109 Vauchelet, Nicolas; James, François 11 2016 Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1346.92017 Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît 11 2013 Reduction to a single closed equation for 2-by-2 reaction-diffusion systems of Lotka-Volterra type. Zbl 1355.35108 Strugarek, Martin; Vauchelet, Nicolas 10 2016 Waves for a hyperbolic Keller–Segel model and branching instabilities. Zbl 1221.35088 Cerreti, Fiammetta; Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas 10 2011 Existence and diffusive limit of a two-species kinetic model of chemotaxis. Zbl 1333.35300 Emako, Casimir; de Almeida, Luís Neves; Vauchelet, Nicolas 9 2015 Diffusive transport of partially quantized particles: existence, uniqueness and long-time behaviour. Zbl 1126.35051 Ben Abdallah, N.; Méhats, F.; Vauchelet, N. 9 2006 Incompressible limit of the Navier-Stokes model with a growth term. Zbl 1370.35234 Vauchelet, Nicolas; Zatorska, Ewelina 9 2017 From kinetic theory of multicellular systems to hyperbolic tissue equations: asymptotic limits and computing. Zbl 1356.35130 Outada, Nisrine; Vauchelet, Nicolas; Akrid, Thami; Khaladi, Mohamed 9 2016 Optimal control strategies for the sterile mosquitoes technique. Zbl 1480.92161 Almeida, Luis; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas 8 2022 Quantifying the survival uncertainty of Wolbachia-infected mosquitoes in a spatial model. Zbl 1406.92522 Strugarek, Martin; Vauchelet, Nicolas; Zubelli, Jorge P. 7 2018 Some examples of kinetic schemes whose diffusion limit is Il’in’s exponential-fitting. Zbl 1414.65007 Gosse, Laurent; Vauchelet, Nicolas 6 2019 Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1321.35249 Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît 5 2014 A truly two-dimensional, asymptotic-preserving scheme for a discrete model of radiative transfer. Zbl 1434.80015 Gosse, Laurent; Vauchelet, Nicolas 5 2020 A remark on duality solutions for some weakly nonlinear scalar conservation laws. Zbl 1223.35227 James, François; Vauchelet, Nicolas 5 2011 Final size and convergence rate for an epidemic in heterogeneous populations. Zbl 1473.92034 Almeida, Luis; Bliman, Pierre-Alexandre; Nadin, Grégoire; Perthame, Benoît; Vauchelet, Nicolas 4 2021 Optimal immunity control and final size minimization by social distancing for the SIR epidemic model. Zbl 1467.92175 Bliman, Pierre-Alexandre; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas 4 2021 Analysis of a drift-diffusion-Schrödinger-Poisson model. Zbl 1032.82035 Ben Abdallah, Naoufel; Méhats, Florian; Vauchelet, Nicolas 4 2002 On the hydrodynamical limit for a one dimensional kinetic model of cell aggregation by chemotaxis. Zbl 1260.35010 James, François; Vauchelet, Nicolas 4 2012 Hydrodynamic singular regimes in \(1+1\) kinetic models and spectral numerical methods. Zbl 1416.65378 Gosse, Laurent; Vauchelet, Nicolas 3 2017 A hybrid classical-quantum approach for ultra-scaled confined nanostructures: modeling and simulation. Zbl 1357.81094 Ben Abdallah, Naoufel; Jourdana, Clément; Pietra, Paola; Vauchelet, Nicolas 3 2012 Analysis of a diffusive effective mass model for nanowires. Zbl 1242.82053 Jourdana, Clément; Vauchelet, Nicolas 3 2011 Convergence analysis of upwind type schemes for the aggregation equation with pointy potential. Zbl 1436.65120 Delarue, François; Lagoutière, Frédéric; Vauchelet, Nicolas 3 2020 Optimal release of mosquitoes to control dengue transmission. Zbl 1447.92389 Almeida, Luis; Haddon, Antoine; Kermorvant, Claire; Léculier, Alexis; Privat, Yannick; Strugarek, Martin; Vauchelet, Nicolas; Zubelli, Jorge P. 3 2020 \(\mathscr{L}\)-splines as diffusive limits of dissipative kinetic models. Zbl 1523.65070 Bretti, Gabriella; Gosse, Laurent; Vauchelet, Nicolas 3 2021 Analysis and simulation of nonlinear and nonlocal transport equations. Zbl 1378.35081 Lagoutière, Frédéric; Vauchelet, Nicolas 2 2017 Numerical simulations of an energy-transport model for partially quantized particles. Zbl 1294.82037 Pietra, Paola; Vauchelet, Nicolas 2 2014 Optimization of spatial control strategies for population replacement, application to Wolbachia. Zbl 1471.92250 Duprez, Michel; Hélie, Romane; Privat, Yannick; Vauchelet, Nicolas 2 2021 The sterile insect technique used as a barrier control against reinfestation. Zbl 1487.35164 Almeida, Luis; Estrada, Jorge; Vauchelet, Nicolas 2 2022 Diffusive transport of partially quantized particles: \(L \log L\) solutions. Zbl 1159.35405 Vauchelet, Nicolas 2 2008 Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Zbl 1448.92251 Strugarek, Martin; Dufour, Laetitia; Vauchelet, Nicolas; Almeida, Luis; Perthame, Benoît; Villela, Daniel A. M. 2 2019 One-dimensional aggregation equation after blow up: existence, uniqueness and numerical simulation. Zbl 1350.35037 James, François; Vauchelet, Nicolas 1 2016 Synchronising and non-synchronising dynamics for a two-species aggregation model. Zbl 1366.35198 Emako-Kazianou, Casimir; Liao, Jie; Vauchelet, Nicolas 1 2017 Hybrid coupling of a one-dimensional energy-transport Schrödinger system. Zbl 1382.65209 Jourdana, Clément; Pietra, Paola; Vauchelet, Nicolas 1 2017 Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097 Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas 1 2015 Wave blocking in a bistable system by local introduction of a population: application to sterile insect techniques on mosquito populations. Zbl 1520.35154 Almeida, Luís; Estrada, Jorge; Vauchelet, Nicolas 1 2022 On the role of the epithelium in a model of sodium exchange in renal tubules. Zbl 1436.92007 Marulli, Marta; Edwards, Aurélie; Milišić, Vuk; Vauchelet, Nicolas 1 2020 Diffusive limits of 2D well-balanced schemes for kinetic models of neutron transport. Zbl 1486.65096 Bretti, Gabriella; Gosse, Laurent; Vauchelet, Nicolas 1 2021 Numerical scheme for kinetic transport equation with internal state. Zbl 1453.65261 Vauchelet, Nicolas; Yasuda, Shugo 1 2021 Diffusive limit of a two dimensional kinetic system of partially quantized particles. Zbl 1197.82122 Vauchelet, Nicolas 1 2010 Optimal control strategies for the sterile mosquitoes technique. Zbl 1480.92161 Almeida, Luis; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas 8 2022 The sterile insect technique used as a barrier control against reinfestation. Zbl 1487.35164 Almeida, Luis; Estrada, Jorge; Vauchelet, Nicolas 2 2022 Wave blocking in a bistable system by local introduction of a population: application to sterile insect techniques on mosquito populations. Zbl 1520.35154 Almeida, Luís; Estrada, Jorge; Vauchelet, Nicolas 1 2022 Incompressible limit for a two-species model with coupling through Brinkman’s law in any dimension. Zbl 1458.35421 Dębiec, Tomasz; Perthame, Benoît; Schmidtchen, Markus; Vauchelet, Nicolas 11 2021 Final size and convergence rate for an epidemic in heterogeneous populations. Zbl 1473.92034 Almeida, Luis; Bliman, Pierre-Alexandre; Nadin, Grégoire; Perthame, Benoît; Vauchelet, Nicolas 4 2021 Optimal immunity control and final size minimization by social distancing for the SIR epidemic model. Zbl 1467.92175 Bliman, Pierre-Alexandre; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas 4 2021 \(\mathscr{L}\)-splines as diffusive limits of dissipative kinetic models. Zbl 1523.65070 Bretti, Gabriella; Gosse, Laurent; Vauchelet, Nicolas 3 2021 Optimization of spatial control strategies for population replacement, application to Wolbachia. Zbl 1471.92250 Duprez, Michel; Hélie, Romane; Privat, Yannick; Vauchelet, Nicolas 2 2021 Diffusive limits of 2D well-balanced schemes for kinetic models of neutron transport. Zbl 1486.65096 Bretti, Gabriella; Gosse, Laurent; Vauchelet, Nicolas 1 2021 Numerical scheme for kinetic transport equation with internal state. Zbl 1453.65261 Vauchelet, Nicolas; Yasuda, Shugo 1 2021 The flux limited Keller-Segel system; properties and derivation from kinetic equations. Zbl 1441.35056 Perthame, Benoît; Vauchelet, Nicolas; Wang, Zhian 15 2020 Incompressible limit of a continuum model of tissue growth for two cell populations. Zbl 1445.35285 Degond, Pierre; Hecht, Sophie; Vauchelet, Nicolas 11 2020 A truly two-dimensional, asymptotic-preserving scheme for a discrete model of radiative transfer. Zbl 1434.80015 Gosse, Laurent; Vauchelet, Nicolas 5 2020 Convergence analysis of upwind type schemes for the aggregation equation with pointy potential. Zbl 1436.65120 Delarue, François; Lagoutière, Frédéric; Vauchelet, Nicolas 3 2020 Optimal release of mosquitoes to control dengue transmission. Zbl 1447.92389 Almeida, Luis; Haddon, Antoine; Kermorvant, Claire; Léculier, Alexis; Privat, Yannick; Strugarek, Martin; Vauchelet, Nicolas; Zubelli, Jorge P. 3 2020 On the role of the epithelium in a model of sodium exchange in renal tubules. Zbl 1436.92007 Marulli, Marta; Edwards, Aurélie; Milišić, Vuk; Vauchelet, Nicolas 1 2020 Mosquito population control strategies for fighting against arboviruses. Zbl 1470.92276 Almeida, Luis; Duprez, Michel; Privat, Yannick; Vauchelet, Nicolas 12 2019 Optimal releases for population replacement strategies: application to Wolbachia. Zbl 1421.92029 Almeida, Luis; Privat, Yannick; Strugarek, Martin; Vauchelet, Nicolas 11 2019 Some examples of kinetic schemes whose diffusion limit is Il’in’s exponential-fitting. Zbl 1414.65007 Gosse, Laurent; Vauchelet, Nicolas 6 2019 Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Zbl 1448.92251 Strugarek, Martin; Dufour, Laetitia; Vauchelet, Nicolas; Almeida, Luis; Perthame, Benoît; Villela, Daniel A. M. 2 2019 Hindrances to bistable front propagation: application to Wolbachia invasion. Zbl 1411.34039 Nadin, Grégoire; Strugarek, Martin; Vauchelet, Nicolas 11 2018 Quantifying the survival uncertainty of Wolbachia-infected mosquitoes in a spatial model. Zbl 1406.92522 Strugarek, Martin; Vauchelet, Nicolas; Zubelli, Jorge P. 7 2018 Convergence order of upwind type schemes for transport equations with discontinuous coefficients. Zbl 1378.65163 Delarue, François; Lagoutière, Frédéric; Vauchelet, Nicolas 13 2017 Incompressible limit of a mechanical model for tissue growth with non-overlapping constraint. Zbl 1384.35040 Hecht, Sophie; Vauchelet, Nicolas 11 2017 Incompressible limit of the Navier-Stokes model with a growth term. Zbl 1370.35234 Vauchelet, Nicolas; Zatorska, Ewelina 9 2017 Hydrodynamic singular regimes in \(1+1\) kinetic models and spectral numerical methods. Zbl 1416.65378 Gosse, Laurent; Vauchelet, Nicolas 3 2017 Analysis and simulation of nonlinear and nonlocal transport equations. Zbl 1378.35081 Lagoutière, Frédéric; Vauchelet, Nicolas 2 2017 Synchronising and non-synchronising dynamics for a two-species aggregation model. Zbl 1366.35198 Emako-Kazianou, Casimir; Liao, Jie; Vauchelet, Nicolas 1 2017 Hybrid coupling of a one-dimensional energy-transport Schrödinger system. Zbl 1382.65209 Jourdana, Clément; Pietra, Paola; Vauchelet, Nicolas 1 2017 The Filippov characteristic flow for the aggregation equation with mildly singular potentials. Zbl 1323.35005 Carrillo, J. A.; James, F.; Lagoutière, F.; Vauchelet, N. 25 2016 Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway. Zbl 1358.35207 Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 21 2016 Numerical high-field limits in two-stream kinetic models and 1D aggregation equations. Zbl 1457.65051 Gosse, Laurent; Vauchelet, Nicolas 12 2016 Equivalence between duality and gradient flow solutions for one-dimensional aggregation equations. Zbl 1353.35109 Vauchelet, Nicolas; James, François 11 2016 Reduction to a single closed equation for 2-by-2 reaction-diffusion systems of Lotka-Volterra type. Zbl 1355.35108 Strugarek, Martin; Vauchelet, Nicolas 10 2016 From kinetic theory of multicellular systems to hyperbolic tissue equations: asymptotic limits and computing. Zbl 1356.35130 Outada, Nisrine; Vauchelet, Nicolas; Akrid, Thami; Khaladi, Mohamed 9 2016 One-dimensional aggregation equation after blow up: existence, uniqueness and numerical simulation. Zbl 1350.35037 James, François; Vauchelet, Nicolas 1 2016 Incompressible limit of a mechanical model of tumour growth with viscosity. Zbl 1353.35294 Perthame, Benoît; Vauchelet, Nicolas 32 2015 Numerical methods for one-dimensional aggregation equations. Zbl 1318.65060 James, Francois; Vauchelet, Nicolas 18 2015 Existence and diffusive limit of a two-species kinetic model of chemotaxis. Zbl 1333.35300 Emako, Casimir; de Almeida, Luís Neves; Vauchelet, Nicolas 9 2015 Transversal instability for the thermodiffusive reaction-diffusion system. Zbl 1328.35097 Kowalczyk, Michal; Perthame, Benoît; Vauchelet, Nicolas 1 2015 Traveling wave solution of the Hele-Shaw model of tumor growth with nutrient. Zbl 1366.92065 Perthame, Benoît; Tang, Min; Vauchelet, Nicolas 24 2014 Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1321.35249 Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît 5 2014 Numerical simulations of an energy-transport model for partially quantized particles. Zbl 1294.82037 Pietra, Paola; Vauchelet, Nicolas 2 2014 Chemotaxis: from kinetic equations to aggregate dynamics. Zbl 1270.35048 James, F.; Vauchelet, N. 30 2013 Composite waves for a cell population system modeling tumor growth and invasion. Zbl 1346.92017 Tang, Min; Vauchelet, Nicolas; Cheddadi, Ibrahim; Vignon-Clementel, Irene; Drasdo, Dirk; Perthame, Benoît 11 2013 On the hydrodynamical limit for a one dimensional kinetic model of cell aggregation by chemotaxis. Zbl 1260.35010 James, François; Vauchelet, Nicolas 4 2012 A hybrid classical-quantum approach for ultra-scaled confined nanostructures: modeling and simulation. Zbl 1357.81094 Ben Abdallah, Naoufel; Jourdana, Clément; Pietra, Paola; Vauchelet, Nicolas 3 2012 Travelling plateaus for a hyperbolic Keller-Segel system with attraction and repulsion: existence and branching instabilities. Zbl 1223.35102 Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas 23 2011 Waves for a hyperbolic Keller–Segel model and branching instabilities. Zbl 1221.35088 Cerreti, Fiammetta; Perthame, Benoît; Schmeiser, Christian; Tang, Min; Vauchelet, Nicolas 10 2011 A remark on duality solutions for some weakly nonlinear scalar conservation laws. Zbl 1223.35227 James, François; Vauchelet, Nicolas 5 2011 Analysis of a diffusive effective mass model for nanowires. Zbl 1242.82053 Jourdana, Clément; Vauchelet, Nicolas 3 2011 Numerical simulation of a kinetic model for chemotaxis. Zbl 1215.92007 Vauchelet, Nicolas 11 2010 Diffusive limit of a two dimensional kinetic system of partially quantized particles. Zbl 1197.82122 Vauchelet, Nicolas 1 2010 Diffusive transport of partially quantized particles: \(L \log L\) solutions. Zbl 1159.35405 Vauchelet, Nicolas 2 2008 Diffusive transport of partially quantized particles: existence, uniqueness and long-time behaviour. Zbl 1126.35051 Ben Abdallah, N.; Méhats, F.; Vauchelet, N. 9 2006 A note on the long time behavior for the drift-diffusion-Poisson system. Zbl 1056.35023 Ben Abdallah, Naoufel; Méhats, Florian; Vauchelet, Nicolas 16 2004 Analysis of a drift-diffusion-Schrödinger-Poisson model. Zbl 1032.82035 Ben Abdallah, Naoufel; Méhats, Florian; Vauchelet, Nicolas 4 2002 all cited Publications top 5 cited Publications all top 5 Cited by 419 Authors 39 Vauchelet, Nicolas 20 Perthame, Benoît 12 Gosse, Laurent 11 Bellomo, Nicola 9 Soler, Juan S. 9 Zhao, Jihong 8 Schmidtchen, Markus 8 Tang, Min 7 Calvez, Vincent 7 Carrillo de la Plata, José Antonio 6 Cui, Shangbin 6 David, Noemi 6 Degond, Pierre 6 Huang, Mingzhan 6 James, François 6 Liu, Shouzong 6 Lorenzi, Tommaso 6 Wang, Zhian 6 Yasuda, Shugo 5 Kim, Inwon Christina 5 Liu, Jianguo 5 Privat, Yannick 5 Song, Xinyu 5 Strugarek, Martin 5 Surulescu, Christina 5 Tao, Youshan 5 Zatorska, Ewelina 4 Bretti, Gabriella 4 Chouhad, Nadia 4 Dębiec, Tomasz 4 Jin, Haiyang 4 Jourdana, Clément 4 Lagoutière, Frédéric 4 Schlichting, André 4 Zhou, Zhennan 4 Zuazua, Enrique 3 Bellouquid, Abdelghani 3 Bliman, Pierre-Alexandre 3 Chaplain, Mark A. J. 3 Deng, Chao 3 Di Michele, Federica 3 Duprez, Michel 3 Düring, Bertram 3 Ha, Seung-Yeal 3 Hecht, Sophie 3 Kiselev, Alexander A. 3 Kreusser, Lisa Maria 3 Liu, Qiao 3 Mascali, Giovanni 3 Nadin, Grégoire 3 Pietra, Paola 3 Pietschmann, Jan-Frederik 3 Poyato, David 3 Romano, Vittorio 3 Rubino, Bruno 3 Sampalmieri, Rosella 3 Schönlieb, Carola-Bibiane 3 Sun, Weiran 3 Wang, Li 3 Winkler, Michael 2 Arnau, Jesús Bellver 2 Berlyand, Leonid V. 2 Bresch, Didier 2 Burger, Martin 2 Burini, Diletta 2 Cáceres, María-José 2 Camiola, Vito Dario 2 Cardona-Salgado, Daiver 2 Chen, Li 2 Craig, Katy 2 Débarre, Florence 2 Delarue, François 2 Dumont, Yves 2 Eftimie, Raluca 2 Girardin, Léo 2 Gong, Yishu 2 Harko, Tiberiu 2 He, Siming 2 Heinze, Georg 2 Henderson, Christopher 2 Jacobs, Matthew 2 Li, Yan 2 Liao, Jie 2 López, José Luis 2 Lorz, Alexander 2 Mak, Man Kwong 2 Mazari-Fouquer, Idriss 2 Mei, Ming 2 Minakowski, Piotr 2 Nieto, Juanjo 2 Outada, Nisrine 2 Painter, Kevin J. 2 Park, Jinyeong 2 Potts, Jonathan R. 2 Pouchol, Camille 2 Ruan, Xinran 2 Schmeiser, Christian 2 Seis, Christian 2 Toledo Marrero, Ana Isis 2 Trélat, Emmanuel ...and 319 more Authors all top 5 Cited in 95 Serials 28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 11 Journal of Mathematical Biology 11 SIAM Journal on Mathematical Analysis 10 Journal of Differential Equations 9 Kinetic and Related Models 8 Mathematical Biosciences and Engineering 7 Multiscale Modeling & Simulation 6 Journal of Mathematical Analysis and Applications 6 SIAM Journal on Numerical Analysis 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 SIAM Journal on Applied Mathematics 6 Nonlinear Analysis. Real World Applications 5 Mathematical Methods in the Applied Sciences 5 Discrete and Continuous Dynamical Systems. Series B 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Networks and Heterogeneous Media 4 Archive for Rational Mechanics and Analysis 4 Journal of Computational Physics 4 Journal of Mathematical Physics 4 Bulletin of Mathematical Biology 4 Studies in Applied Mathematics 3 Nonlinearity 3 Mathematics of Computation 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Numerische Mathematik 3 Acta Applicandae Mathematicae 3 Applied Mathematics Letters 3 Mathematical and Computer Modelling 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 SIAM Journal on Applied Dynamical Systems 3 Journal of Biological Dynamics 2 Journal of Statistical Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Transactions of the American Mathematical Society 2 Physica D 2 European Journal of Applied Mathematics 2 Communications in Partial Differential Equations 2 Journal of Dynamics and Differential Equations 2 Mathematics and Mechanics of Solids 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications on Pure and Applied Analysis 2 Mathematical Modelling of Natural Phenomena 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Theoretical Biology 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Applicable Analysis 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Communications on Pure and Applied Mathematics 1 Mathematical Biosciences 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Automatica 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Mathematics and Computers in Simulation 1 Monatshefte für Mathematik 1 Quarterly of Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Revista Matemática Iberoamericana 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 European Journal of Operational Research 1 Continuum Mechanics and Thermodynamics 1 SIAM Journal on Scientific Computing 1 Journal of the Egyptian Mathematical Society 1 Electronic Journal of Probability 1 Mathematical Problems in Engineering 1 European Journal of Control 1 Vietnam Journal of Mathematics 1 Journal of Mathematical Fluid Mechanics 1 Interfaces and Free Boundaries 1 Revista de Matemática: Teoría y Aplicaciones 1 Nonlinear Analysis. Modelling and Control 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Analysis and Applications (Singapore) 1 Oberwolfach Reports 1 International Journal of Biomathematics 1 Advances in Nonlinear Analysis 1 Nanoscale Systems: Mathematical Modeling, Theory and Applications 1 Journal de l’École Polytechnique – Mathématiques 1 Philosophical Transactions A. Royal Society of London 1 Journal of Elliptic and Parabolic Equations 1 Annales Henri Lebesgue 1 Electronic Research Archive 1 SN Partial Differential Equations and Applications 1 Journal of Computational and Theoretical Transport 1 Communications of the American Mathematical Society all top 5 Cited in 33 Fields 216 Partial differential equations (35-XX) 184 Biology and other natural sciences (92-XX) 61 Numerical analysis (65-XX) 43 Fluid mechanics (76-XX) 43 Statistical mechanics, structure of matter (82-XX) 26 Calculus of variations and optimal control; optimization (49-XX) 25 Ordinary differential equations (34-XX) 9 Systems theory; control (93-XX) 8 Integral equations (45-XX) 8 Operator theory (47-XX) 8 Probability theory and stochastic processes (60-XX) 8 Mechanics of deformable solids (74-XX) 6 Mechanics of particles and systems (70-XX) 6 Operations research, mathematical programming (90-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 5 Dynamical systems and ergodic theory (37-XX) 4 Optics, electromagnetic theory (78-XX) 3 Measure and integration (28-XX) 3 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mathematics education (97-XX) Citations by Year