Edit Profile Bellomo, Nicola Compute Distance To: Compute Author ID: bellomo.nicola Published as: Bellomo, N.; Bellomo, Nicola Homepage: http://staff.polito.it/nicola.bellomo/ External Links: MGP · dblp · GND Documents Indexed: 214 Publications since 1969, including 24 Books all top 5 Co-Authors 14 single-authored 25 Bellouquid, Abdelghani 16 Brezzi, Franco 13 Soler, Juan S. 11 Lachowicz, Mirosław 9 Gibelli, Livio 9 Riganti, Riccardo 8 De Angelis, Elena 8 Knopoff, Damian A. 8 Pistone, Giovanni 8 Preziosi, Luigi 8 Toscani, Giuseppe 7 Arlotti, Luisa 6 Monaco, Roberto 6 Nieto, Juanjo 6 Winkler, Michael 5 Coscia, Vincenzo 5 Delitala, Marcello 5 Fermo, Luisa 5 Longo, Eugenia 5 Polewczak, Jacek 5 Tao, Youshan 4 Bonzani, Ida 4 de Socio, Luciano M. 4 Loiodice, Rocco 4 Vacca, Maria Teresa 3 Aylaj, Bouchra 3 Bianca, Carlo 3 Carbonaro, Bruno 3 Forni, Guido 3 Ha, Seung-Yeal 3 Outada, Nisrine 3 Pulvirenti, Mario 3 Rizzi, Guido 3 Romano, Antonio Enea 3 Teppati, Giancarlo 3 Tosin, Andrea 2 Adomian, George 2 Ajmone Marsan, Giulia 2 Battaglio, M. 2 Berestycki, Henri 2 Bertotti, Maria Letizia 2 Chaplain, Mark A. J. 2 Chouhad, Nadia 2 De Lillo, Silvana 2 Degond, Pierre 2 Dogbé, Christian 2 Dosi, Giovanni 2 Gatignol, Renée 2 Herrero, Miguel Ángel 2 Lo Schiavo, Mauro 2 Maini, Philip Kumar 2 Mamontov, Eugen 2 Nadal, Jean-Pierre 2 Palczewski, Andrzej 2 Ridolfi, Luca 2 Tadmor, Eitan 2 Virgillito, Maria Enrica 2 Willander, Magnus 2 Zavattaro, M. G. 1 Adam, John A. 1 Albi, Giacomo 1 Ambrosi, Davide 1 Antonelli, Dario 1 Arnod, S. 1 Bellouquid, Abdel 1 Berrone, Stefano 1 Bingham, Richard 1 Bruno, Luca 1 Brzeźniak, Zdzisław 1 Cafaro, Emilio 1 Calander, Nils 1 Carloni, A. 1 Chilosi, M. 1 Colasuonno, Francesca 1 De Nigris, Sarah 1 Egidi, Massimo 1 Esteban, Maria J. 1 Firmani, Bruno 1 Flandoli, Franco 1 Formaggia, Luca 1 Gabetta, Ester 1 Geymonat, Giuseppe 1 Gramani, L. 1 Graziano, L. 1 Guerri, Luciano 1 Gustafsson, Tony 1 Illner, Reinhard 1 Kawashima, Shuichi 1 Kim, Jeongho 1 Lancellotta, Renato 1 Larosa, Salvatore 1 Latrach, Khalid 1 Le Tallec, Patrick 1 Li, Natasha K. 1 Lods, Bertrand 1 Lowengrub, John Samuel 1 Lumenta, D. B. 1 Málek, Jiří 1 Manzini, Gianmarco 1 Marasco, Addolorata ...and 30 more Co-Authors all top 5 Serials 44 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 23 Mathematical and Computer Modelling 10 Computers & Mathematics with Applications 10 Applied Mathematics Letters 9 Modeling and Simulation in Science, Engineering and Technology 7 L’Aerotecnica, Missili e Spazio 5 Journal of Mathematical Analysis and Applications 5 Series on Advances in Mathematics for Applied Sciences 4 Transport Theory and Statistical Physics 4 Meccanica 3 Mathematics and Computers in Simulation 3 Mechanics Research Communications 3 Discrete and Continuous Dynamical Systems. Series B 3 Networks and Heterogeneous Media 3 Kinetic and Related Models 2 International Journal of Non-Linear Mechanics 2 Journal of Mathematical Physics 2 Reviews in Mathematical Physics 2 Applied Mathematical Modelling 2 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 2 Atti della Accademia delle Scienze di Torino. Classe di Scienze Fisiche, Matematiche e Naturali 2 Comptes Rendus de l’Académie des Sciences. Série I 2 Computers and Mathematics with Applications. Part A 2 Journal of Theoretical Medicine 2 Comptes Rendus. Mécanique. Académie des Sciences, Paris 1 International Journal of Modern Physics B 1 Computers and Fluids 1 Journal of Statistical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali 1 Journal of Differential Equations 1 Ricerche di Matematica 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Mathematical Modelling 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 European Mathematical Society Newsletter 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione A. La Matematica nella Società e nella Cultura 1 Nonlinear Analysis. Real World Applications 1 Multiscale Modeling & Simulation 1 Communications in Mathematical Sciences 1 Differential Equations & Nonlinear Mechanics 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Journal of Physics A: Mathematical and Theoretical 1 Nonlinear Analysis. Hybrid Systems 1 Discrete and Continuous Dynamical Systems. Series S 1 Synthesis Lectures on Mathematics and Statistics 1 S\(\vec{\text{e}}\)MA Journal 1 Journal of Theoretical Biology 1 L’Aerotecnica 1 Transactions of the American Mathematical Society. Series B 1 SpringerBriefs in Mathematics all top 5 Fields 84 Biology and other natural sciences (92-XX) 64 Statistical mechanics, structure of matter (82-XX) 60 Partial differential equations (35-XX) 56 Fluid mechanics (76-XX) 31 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 27 General and overarching topics; collections (00-XX) 24 Probability theory and stochastic processes (60-XX) 18 Operations research, mathematical programming (90-XX) 15 Numerical analysis (65-XX) 14 Integral equations (45-XX) 11 Systems theory; control (93-XX) 8 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Mechanics of deformable solids (74-XX) 7 Mechanics of particles and systems (70-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 2 Geophysics (86-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 185 Publications have been cited 3,322 times in 1,605 Documents Cited by ▼ Year ▼ Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M. 346 2015 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014Bellomo, N.; Li, N. K.; Maini, P. K. 171 2008 On the modeling of traffic and crowds: a survey of models, speculations, and perspectives. Zbl 1231.90123Bellomo, Nicola; Dogbe, Christian 90 2011 Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan 79 2010 A survey of models for tumor-immune system dynamics. Zbl 0874.92020Adam, John A. (ed.); Bellomo, Nicola (ed.) 71 1997 Modelling and mathematical problems related to tumor evolution and its interaction with the immune system. Zbl 0997.92020Bellomo, N.; Preziosi, L. 70 2000 Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029Bellomo, N.; Bellouquid, A.; Delitala, M. 66 2004 On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137Bellomo, N.; Knopoff, D.; Soler, J. 62 2013 On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065Bellomo, N.; Soler, J. 61 2012 Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325Arlotti, L.; Bellomo, N.; De Angelis, E. 61 2002 Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 58 2007 Modeling complex living systems. A kinetic theory and stochastic game approach. Zbl 1140.91007Bellomo, Nicola 56 2008 Modelling mathematical methods and scientific computation. Zbl 0871.65001Bellomo, Nicola; Preziosi, Luigi 54 1995 On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036Bellomo, Nicola; Dogbé, Christian 52 2008 Dynamics of tumor interaction with the host immune system. Zbl 0811.92014Bellomo, N.; Forni, G. 52 1994 On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability. Zbl 0561.35074Bellomo, N.; Toscani, G. 50 1985 On the mathematical theory of vehicular traffic flow. I: Fluid dynamic and kinetic modelling. Zbl 1041.76061Bellomo, N.; Delitala, M.; Coscia, V. 49 2002 Mathematical topics in nonlinear kinetic theory. Zbl 0702.76005Bellomo, Nicola; Palczewski, Andrzej; Toscani, Giuseppe 49 1988 On the asymptotic theory from microscopic to macroscopic growing tissue models: an overview with perspectives. Zbl 1328.92023Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 45 2012 Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea 41 2012 Strategies of applied mathematics towards an immuno-mathematical theory on tumors and immune system interactions. Zbl 0947.92014Bellomo, N.; De Angelis, E. 39 1998 Nonlinear stochastic systems in physics and mechanics. Zbl 0623.60084Bellomo, Nicola; Riganti, Riccardo 39 1987 A comparison between Adomian’s decomposition methods and perturbation techniques for nonlinear random differential equations. Zbl 0575.60064Bellomo, Nicola; Monaco, Roberto 39 1985 Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods. Zbl 0898.65074Bellomo, N. 37 1997 On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea 36 2013 A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166Bellomo, Nicola; Winkler, Michael 35 2017 Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics. Zbl 1414.91053Marsan, G. Ajmone; Bellomo, N.; Gibelli, L. 34 2016 Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042Bellomo, Nicola; Gibelli, Livio 34 2015 Multiscale modeling and mathematical problems related to tumor evolution and medical therapy. Zbl 1107.92020Bellomo, Nicola; De Angelis, Elena; Preziosi, Luigi 34 2003 Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J. 33 2019 From the microscale to collective crowd dynamics. Zbl 1280.90019Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian 32 2013 A quest toward a mathematical theory of the dynamics of swarms. Zbl 1366.82077Bellomo, Nicola; Ha, Seung-Yeal 31 2017 From a multiscale derivation of nonlinear cross-diffusion models to Keller-Segel models in a Navier-Stokes fluid. Zbl 1353.35038Bellomo, N.; Bellouquid, A.; Chouhad, N. 31 2016 Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems. Zbl 1093.92002Bellomo, Nicola; Forni, Guido 31 2006 Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044Bellomo, Nicola; Winkler, Michael 30 2017 On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis. Zbl 1160.76403Bellomo, Nicola; Bellouquid, Abdelghani 30 2006 From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Zbl 1044.92021Bellomo, N.; Bellouquid, A. 28 2004 Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo 27 2008 Solution of a new class of nonlinear kinetic models of population dynamics. Zbl 0853.35050Arlotti, L.; Bellomo, N. 26 1996 On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan 25 2014 Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 25 2010 From the modelling of driver’s behavior to hydrodynamic models and problems of traffic flow. Zbl 1005.90016Bellomo, N.; Marasco, A.; Romano, A. 25 2002 Kinetic equations modelling population dynamics. Zbl 0946.92019Arlotti, L.; Bellomo, N.; Lachowicz, M. 25 2000 From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications. Zbl 1043.92518Arlotti, L.; Bellomo, N.; Latrach, K. 25 1999 Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition. Zbl 0932.92016Bellomo, N.; Firmani, B.; Guerri, L. 25 1999 Stochastic partial differential equations in continuum physics - on the foundations of the stochastic interpolation method for Ito’s type equations. Zbl 0706.60063Bellomo, N.; Flandoli, F. 25 1989 Mathematical topics in nonlinear kinetic theory II. The Enskog equation. Zbl 0733.76061Bellomo, N.; Lachowicz, M.; Polewczak, J.; Toscani, G. 23 1991 Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods. Zbl 0822.65075Bellomo, N.; Ridolfi, L. 21 1995 On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029Bellomo, Nicola; Bellouquid, Abdelghani 20 2015 Solution of nonlinear problems in applied sciences by generalized collocation methods and Mathematica. Zbl 1058.65110Bellomo, N.; De Angelis, E.; Graziano, L.; Romano, A. 20 2001 Population dynamics with stochastic interaction. Zbl 0838.92018Arlotti, L.; Bellomo, N. 20 1995 On Adomian’s decomposition method and some comparisons with Picard’s iterative scheme. Zbl 0624.60079Bellomo, N.; Sarafyan, D. 20 1987 First-order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow. Zbl 1177.90076Bellomo, Nicola; Coscia, Vincenzo 19 2005 The modelling of the immune competition by generalized kinetic (Boltzmann) models: Review and research perspectives. Zbl 1022.92012Bellomo, N.; Bellouquid, A.; De Angelis, E. 19 2003 On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052Bellomo, Nicola; Bellouquid, Abdelghani 18 2011 Crowd dynamics on a moving platform: mathematical modelling and application to lively footbridges. Zbl 1198.74031Venuti, Fiammetta; Bruno, Luca; Bellomo, Nicola 18 2007 Mathematics and complexity in life and human sciences. Zbl 1218.92001Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 17 2010 Lecture notes on the mathematical theory of generalized Boltzmann models. Zbl 0983.82012Bellomo, Nicola; Lo Schiavo, Mauro 17 2000 On the initial value problem for the Boltzmann equation with a force term. Zbl 0699.35237Bellomo, N.; Lachowicz, M.; Palczewski, A.; Toscani, G. 17 1989 From a systems theory of sociology to modeling the onset and evolution of criminality. Zbl 1403.91278Bellomo, Nicola; Colasuonno, Francesca; Knopoff, Damián; Soler, Juan 16 2015 From microscopic to macroscopic description of multicellular systems and biological growing tissues. Zbl 1121.92025Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A. 16 2007 Modeling in applied sciences. A kinetic theory approach. Zbl 0938.00011Bellomo, Nicola (ed.); Pulvirenti, Mario (ed.) 16 2000 From the Boltzmann equation to generalized kinetic models in applied sciences. Zbl 0897.76082Bellomo, N.; Lo Schiavo, M. 16 1997 Traffic, crowds, and swarms. Zbl 1171.90361Bellomo, N.; Brezzi, F. 15 2008 On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine 14 2019 Complex systems and society. Modeling and simulation. Zbl 1328.00108Ajmone Marsan, Giulia; Bellomo, Nicola; Tosin, Andrea 14 2013 On a class of integro-differential equations modeling complex systems with nonlinear interactions. Zbl 1243.82046Arlotti, L.; De Angelis, E.; Fermo, L.; Lachowicz, M.; Bellomo, N. 14 2012 The Enskog-Boltzmann equation in the whole space \({\mathbb{R}}^ 3:\) Some global existence, uniqueness and stability results. Zbl 0633.35072Toscani, G.; Bellomo, N. 14 1987 Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045Bellomo, Nicola (ed.); Degond, Pierre (ed.); Tadmor, Eitan (ed.) 12 2017 Behavioral crowds: modeling and Monte Carlo simulations toward validation. Zbl 1390.65030Bellomo, N.; Gibelli, L. 12 2016 Nonlinear stochastic evolution problems in applied sciences. Zbl 0770.60061Bellomo, N.; Brzezniak, Z.; de Socio, L. M. 12 1992 The discrete Boltzmann equation: A review of the mathematical aspects of the initial and initial-boundary value problems. Zbl 0737.76065Bellomo, N.; Gustafsson, T. 12 1991 Modeling the hiding-learning dynamics in large living systems. Zbl 1198.37117Bellomo, N. 11 2010 Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015Bellomo, Nicola (ed.); Chaplain, Mark (ed.); De Angelis, Elena (ed.) 11 2008 The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem. Zbl 0706.76084Bellomo, N.; Kawashima, S. 11 1990 Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael 10 2019 A quest towards a mathematical theory of living systems. Zbl 1381.92001Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine 10 2017 Modeling behavioral social systems. Zbl 1355.00017Bellomo, N. (ed.); Brezzi, F. (ed.); Pulvirenti, M. (ed.) 10 2017 On the mathematical theory of living systems. II: The interplay between mathematics and system biology. Zbl 1236.92005Coscia, V.; Fermo, L.; Bellomo, N. 10 2011 Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049Bellomo, N.; Maini, P. K. 10 2007 Modelling tumor progression, heterogeneity, and immune competition. Zbl 1050.92026Ambrosi, D.; Bellomo, N.; Preziosi, L. 10 2002 Time evolution and fluctuations of the probability density and entropy function for a class of nonlinear stochastic systems in mathematical physics. Zbl 0604.93052Bellomo, N.; Riganti, R. 10 1986 Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024Bellomo, N.; Brezzi, F. 9 2016 Mathematics and complexity in human and life sciences. Zbl 1175.00022Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 9 2009 Generalized kinetic models in applied sciences. Lecture notes on mathematical problem. Zbl 1073.82001Arlotti, Luisa; Bellomo, Nicola; De Angelis, Elena; Lachowicz, Miroslaw 9 2003 Nonlinear kinetic equations with dissipative collisions. Zbl 0835.76091Bellomo, Nicola; Esteban, Maria Jesus; Lachowicz, Mirosław 9 1995 The semicontinuous Boltzmann equation: Towards a model for fluid dynamic applications. Zbl 0770.76057Longo, E.; Preziosi, L.; Bellomo, N. 9 1993 Random heat equation: Solutions by the stochastic adaptive interpolation method. Zbl 0661.60082Bellomo, N.; de Socio, L. M.; Monaco, R. 9 1988 Time-evolution of the probability density under the action of a deterministic dynamical system. Zbl 0475.70019Bellomo, N.; Pistone, G. 9 1980 Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052Bellomo, Nicola; Tao, Youshan 8 2020 Modeling chemotaxis from \(L^2\)-closure moments in kinetic theory of active particles. Zbl 1280.35160Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan 8 2013 Mathematics and complexity of multi-particle systems. Zbl 1242.92003Bellomo, N.; Brezzi, F. 8 2012 On the derivation of macroscopic tissue equations from hybrid models of the kinetic theory of multicellular growing systems – the effect of global equilibrium. Zbl 1184.93071Bellomo, N.; Bellouquid, A. 8 2009 Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity. Zbl 1165.82319De Lillo, S.; Salvatori, M. C.; Bellomo, N. 8 2007 Mechanics and dynamical systems with \(Mathematica\). Zbl 0962.70006Bellomo, Nicola; Preziosi, Luigi; Romano, Antonio 8 2000 Lecture Notes on the mathematical theory of the Boltzmann equation. Zbl 0871.76074Bellomo, N. (ed.) 8 1995 On the asymptotic equivalence between the Enskog and the Boltzmann equations. Zbl 1086.82539Bellomo, N.; Lachowicz, M. 8 1988 On the mathematical modelling of physical systems by ordinary differential stochastic equations. Zbl 0547.60060Bellomo, N.; Cafaro, E.; Rizzi, G. 8 1984 Mathematics and complexity in biological sciences. Zbl 1328.00110Bellomo, N.; Brezzi, F. 7 2011 Generalized collocation methods. Solutions to nonlinear problems. Zbl 1135.65038Bellomo, Nicola; Lods, Bertrand; Revelli, Roberto; Ridolfi, Luca 7 2008 Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052Bellomo, Nicola; Tao, Youshan 8 2020 A unified multiscale vision of behavioral crowds. Zbl 1434.91046Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro 4 2020 Active particles methods and challenges in behavioral systems. Zbl 1454.35392Bellomo, N.; Brezzi, F.; Soler, J. 1 2020 A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 1451.92276Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica 1 2020 From particles to firms: on the kinetic theory of climbing up evolutionary landscapes. Zbl 1445.82020Bellomo, Nicola; Dosi, Giovanni; Knopoff, Damián A.; Virgillito, Maria Enrica 1 2020 Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J. 33 2019 On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine 14 2019 Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael 10 2019 Active particles, Volume 2. Advances in theory, models, and applications. Zbl 1427.74004Bellomo, Nicola (ed.); Degond, Pierre (ed.); Tadmor, Eitan (ed.) 1 2019 Challenges in active particles methods: theory and applications. Zbl 1411.35149Bellomo, N.; Brezzi, F. 6 2018 Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078Bellomo, N.; Tao, Y.; Winkler, M. 2 2018 Crowd dynamics, Volume 1. Theory, models, and safety problems. Zbl 1410.92004Gibelli, Livio (ed.); Bellomo, Nicola (ed.) 2 2018 A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166Bellomo, Nicola; Winkler, Michael 35 2017 A quest toward a mathematical theory of the dynamics of swarms. Zbl 1366.82077Bellomo, Nicola; Ha, Seung-Yeal 31 2017 Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044Bellomo, Nicola; Winkler, Michael 30 2017 Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045Bellomo, Nicola (ed.); Degond, Pierre (ed.); Tadmor, Eitan (ed.) 12 2017 A quest towards a mathematical theory of living systems. Zbl 1381.92001Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine 10 2017 Modeling behavioral social systems. Zbl 1355.00017Bellomo, N. (ed.); Brezzi, F. (ed.); Pulvirenti, M. (ed.) 10 2017 Mathematical models of self-propelled particles. Zbl 1370.82034Bellomo, N.; Brezzi, F. 3 2017 Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics. Zbl 1414.91053Marsan, G. Ajmone; Bellomo, N.; Gibelli, L. 34 2016 From a multiscale derivation of nonlinear cross-diffusion models to Keller-Segel models in a Navier-Stokes fluid. Zbl 1353.35038Bellomo, N.; Bellouquid, A.; Chouhad, N. 31 2016 Behavioral crowds: modeling and Monte Carlo simulations toward validation. Zbl 1390.65030Bellomo, N.; Gibelli, L. 12 2016 Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024Bellomo, N.; Brezzi, F. 9 2016 Macroscopic first order models of multicomponent human crowds with behavioral dynamics. Zbl 1356.91079Bellomo, N.; Berrone, S.; Gibelli, L.; Pieri, A. B. 1 2016 Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M. 346 2015 Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042Bellomo, Nicola; Gibelli, Livio 34 2015 On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029Bellomo, Nicola; Bellouquid, Abdelghani 20 2015 From a systems theory of sociology to modeling the onset and evolution of criminality. Zbl 1403.91278Bellomo, Nicola; Colasuonno, Francesca; Knopoff, Damián; Soler, Juan 16 2015 Traffic, crowds, and dynamics of self-organized particles: new trends and challenges. Zbl 1308.92110Bellomo, Nicola; Brezzi, Franco 4 2015 On the derivation of angiogenesis tissue models: from the micro-scale to the macro-scale. Zbl 1327.76175Bellomo, Nicola; Bellouquid, Abdelghani 1 2015 On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan 25 2014 Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317Bellomo, N.; Brezzi, F.; Manzini, G. 6 2014 Complex systems: new challenges with modeling headaches. Zbl 1280.00033Bellomo, N.; Brezzi, Franco 3 2014 On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137Bellomo, N.; Knopoff, D.; Soler, J. 62 2013 On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea 36 2013 From the microscale to collective crowd dynamics. Zbl 1280.90019Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian 32 2013 Complex systems and society. Modeling and simulation. Zbl 1328.00108Ajmone Marsan, Giulia; Bellomo, Nicola; Tosin, Andrea 14 2013 Modeling chemotaxis from \(L^2\)-closure moments in kinetic theory of active particles. Zbl 1280.35160Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan 8 2013 Sources of nonlinearity in the kinetic theory for active particles with focus on the formation of political opinions. Zbl 1315.91054Bellomo, Nicola; Coscia, Vincenzo 3 2013 Heterogeneous distribution of mechanical stress in human lung: a mathematical approach to evaluate abnormal remodeling in IPF. Zbl 1330.92019Carloni, A.; Poletti, V.; Fermo, L.; Bellomo, N.; Chilosi, M. 1 2013 On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065Bellomo, N.; Soler, J. 61 2012 On the asymptotic theory from microscopic to macroscopic growing tissue models: an overview with perspectives. Zbl 1328.92023Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 45 2012 Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea 41 2012 On a class of integro-differential equations modeling complex systems with nonlinear interactions. Zbl 1243.82046Arlotti, L.; De Angelis, E.; Fermo, L.; Lachowicz, M.; Bellomo, N. 14 2012 Mathematics and complexity of multi-particle systems. Zbl 1242.92003Bellomo, N.; Brezzi, F. 8 2012 Global solution to the Cauchy problem for discrete velocity models of vehicular traffic. Zbl 1230.35056Bellomo, N.; Bellouquid, A. 4 2012 On the modeling of traffic and crowds: a survey of models, speculations, and perspectives. Zbl 1231.90123Bellomo, Nicola; Dogbe, Christian 90 2011 On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052Bellomo, Nicola; Bellouquid, Abdelghani 18 2011 On the mathematical theory of living systems. II: The interplay between mathematics and system biology. Zbl 1236.92005Coscia, V.; Fermo, L.; Bellomo, N. 10 2011 Mathematics and complexity in biological sciences. Zbl 1328.00110Bellomo, N.; Brezzi, F. 7 2011 Towards a mathematical theory of complex biological systems. Zbl 1286.92003Bianca, Carlo; Bellomo, Nicola 6 2011 On the modeling of crowd dynamics: an overview and research perspectives. Zbl 1242.90053Bellomo, Nicola; Bianca, Carlo; Coscia, Vincenzo 5 2011 On the modeling of collective learning dynamics. Zbl 1233.92002De Lillo, S.; Bellomo, N. 5 2011 Continuum thermodynamics and nonlinear partial differential equations. Zbl 1213.80002Bellomo, N.; Málek, J. 3 2011 Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan 79 2010 Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 25 2010 Mathematics and complexity in life and human sciences. Zbl 1218.92001Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 17 2010 Modeling the hiding-learning dynamics in large living systems. Zbl 1198.37117Bellomo, N. 11 2010 On the modeling of nonlinear interactions in large complex systems. Zbl 1197.92002Bellomo, N.; Bianca, C.; Mongiovì, M. S. 6 2010 On the modelling of vehicular traffic and crowds by kinetic theory of active particles. Zbl 1211.91210Bellomo, Nicola; Bellouquid, Abdelghani 4 2010 Mathematics and complexity in human and life sciences. Zbl 1175.00022Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 9 2009 On the derivation of macroscopic tissue equations from hybrid models of the kinetic theory of multicellular growing systems – the effect of global equilibrium. Zbl 1184.93071Bellomo, N.; Bellouquid, A. 8 2009 On the coupling of higher and lower scales using the mathematical kinetic theory of active particles. Zbl 1162.92013Bellomo, N.; Delitala, M. 5 2009 From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models. Zbl 1171.92309Bellomo, Nicola; Bellouquid, Abdelghani; Soler, Juan 4 2009 On the derivation of macroscopic hyperbolic equations for binary multicellular growing mixtures. Zbl 1186.35131Bellomo, N.; Bellouquid, A. 1 2009 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014Bellomo, N.; Li, N. K.; Maini, P. K. 171 2008 Modeling complex living systems. A kinetic theory and stochastic game approach. Zbl 1140.91007Bellomo, Nicola 56 2008 On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036Bellomo, Nicola; Dogbé, Christian 52 2008 Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo 27 2008 Traffic, crowds, and swarms. Zbl 1171.90361Bellomo, N.; Brezzi, F. 15 2008 Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015Bellomo, Nicola (ed.); Chaplain, Mark (ed.); De Angelis, Elena (ed.) 11 2008 Generalized collocation methods. Solutions to nonlinear problems. Zbl 1135.65038Bellomo, Nicola; Lods, Bertrand; Revelli, Roberto; Ridolfi, Luca 7 2008 On the complexity of multiple interactions with additional reasonings about Kate, Jules and Jim. Zbl 1144.82339Bellomo, Nicola; Carbonaro, Bruno 5 2008 From the mathematical kinetic theory of active particles to multiscale modelling of complex biological systems. Zbl 1134.92003Bellomo, N.; Bellouquid, A.; Delitala, M. 3 2008 On the kinetic and stochastic games theory for active particles: Some reasonings on open large living systems. Zbl 1187.91159Bellomo, N.; Carbonaro, B.; Gramani, L. 1 2008 Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 58 2007 Crowd dynamics on a moving platform: mathematical modelling and application to lively footbridges. Zbl 1198.74031Venuti, Fiammetta; Bruno, Luca; Bellomo, Nicola 18 2007 From microscopic to macroscopic description of multicellular systems and biological growing tissues. Zbl 1121.92025Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A. 16 2007 Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049Bellomo, N.; Maini, P. K. 10 2007 Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity. Zbl 1165.82319De Lillo, S.; Salvatori, M. C.; Bellomo, N. 8 2007 Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems. Zbl 1093.92002Bellomo, Nicola; Forni, Guido 31 2006 On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis. Zbl 1160.76403Bellomo, Nicola; Bellouquid, Abdelghani 30 2006 On the modelling of complex sociopsychological systems with some reasoning about Kate, Jules, and Jim. Zbl 1200.91258Bellomo, Nicola; Carbonaro, Bruno 6 2006 On the mathematical kinetic theory of active particles with discrete states: The derivation of macroscopic equations. Zbl 1130.92006Bellomo, Nicola; Bellouquid, Abdelghani 3 2006 First-order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow. Zbl 1177.90076Bellomo, Nicola; Coscia, Vincenzo 19 2005 Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029Bellomo, N.; Bellouquid, A.; Delitala, M. 66 2004 From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Zbl 1044.92021Bellomo, N.; Bellouquid, A. 28 2004 From the mathematical kinetic theory to modelling complex systems in applied sciences. Zbl 1073.82034Bellomo, Nicola 4 2004 Multiscale modeling and mathematical problems related to tumor evolution and medical therapy. Zbl 1107.92020Bellomo, Nicola; De Angelis, Elena; Preziosi, Luigi 34 2003 The modelling of the immune competition by generalized kinetic (Boltzmann) models: Review and research perspectives. Zbl 1022.92012Bellomo, N.; Bellouquid, A.; De Angelis, E. 19 2003 Generalized kinetic models in applied sciences. Lecture notes on mathematical problem. Zbl 1073.82001Arlotti, Luisa; Bellomo, Nicola; De Angelis, Elena; Lachowicz, Miroslaw 9 2003 Non-linear consolidation models of clay which change type. Zbl 1346.74131Battaglio, M.; Bellomo, N.; Bonzani, I.; Lancellotta, R. 6 2003 The generalized kinetic modelling of a multicomponent “real-life” fluid by means of a single distribution function. Zbl 1106.76326Bellomo, N.; Mamontov, E.; Willander, M. 6 2003 Lectures notes on the discretization of the Boltzmann equation. Zbl 1118.82041Bellomo, Nicola (ed.); Gatignol, Renée (ed.) 5 2003 Cancer immune system competition: modelling and bifurcation problems. Zbl 1337.92098Bellomo, Nicola; Bertotti, Maria Letizia; Motta, Santo 4 2003 The generalized-kinetics-based equilibrium distribution function for composite particles. Zbl 1177.82058Bellomo, Nicola; Calander, Nils; Mamontov, Eugen; Willander, Magnus 2 2003 Boundary value steady solutions of a class of hydrodynamic models for vehicular traffic flow. Zbl 1080.90017Bertotti, M. L.; Bellomo, N. 2 2003 Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325Arlotti, L.; Bellomo, N.; De Angelis, E. 61 2002 On the mathematical theory of vehicular traffic flow. I: Fluid dynamic and kinetic modelling. Zbl 1041.76061Bellomo, N.; Delitala, M.; Coscia, V. 49 2002 From the modelling of driver’s behavior to hydrodynamic models and problems of traffic flow. Zbl 1005.90016Bellomo, N.; Marasco, A.; Romano, A. 25 2002 ...and 85 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,928 Authors 113 Bellomo, Nicola 48 Ha, Seung-Yeal 44 Winkler, Michael 32 Lachowicz, Mirosław 29 Tao, Youshan 27 Bellouquid, Abdelghani 26 Delitala, Marcello 24 Bonzani, Ida 19 De Angelis, Elena 19 Zheng, Jiashan 18 Soler, Juan S. 18 Toscani, Giuseppe 17 Mu, Chunlai 16 Bianca, Carlo 16 Piccoli, Benedetto 15 Degond, Pierre 15 Surulescu, Christina 14 Brezzi, Franco 14 Knopoff, Damian A. 14 Lankeit, Johannes 13 Klar, Axel 13 Monaco, Roberto 13 Perthame, Benoît 13 Preziosi, Luigi 13 Shen, Wenxian 12 Xiang, Tian 11 Chaplain, Mark A. J. 11 Herty, Michael Matthias 11 Mizukami, Masaaki 11 Wang, Zhian 11 Xiang, Zhaoyin 10 Bertotti, Maria Letizia 10 Black, Tobias 10 Cui, Shangbin 10 Dolfin, Marina 10 Ren, Guoqiang 10 Salako, Rachidi Bolaji 10 Wang, Liangchen 10 Yokota, Tomomi 9 Adomian, George 9 Borsche, Raul 9 Cattani, Carlo 9 Coscia, Vincenzo 9 Eftimie, Raluca 9 Jin, Hai-Yang 9 Kolev, Mikhail K. 9 Lin, Ke 9 Lo Schiavo, Mauro 9 Mamontov, E. V. 9 Tosin, Andrea 8 Arlotti, Luisa 8 Dogbé, Christian 8 d’Onofrio, Alberto 8 Fermo, Luisa 8 Fujie, Kentarou 8 Gibelli, Livio 8 Kim, Doheon 8 Nieto, Juanjo 8 Oden, John Tinsley 8 Pareschi, Lorenzo 8 Riganti, Riccardo 8 Viglialoro, Giuseppe 8 Wang, Yifu 8 Wang, Yulan 8 Zhang, Xianwen 7 Carbonaro, Bruno 7 Carrillo de la Plata, José Antonio 7 D’Acunto, Berardino 7 Duan, Junsheng 7 Duan, Renjun 7 Elaiw, Ahmed M. 7 Guo, Qian 7 Herrero, Miguel Ángel 7 Jiang, Jie 7 Kim, Jeongho 7 Lowengrub, John Samuel 7 Mussone, Lorenzo 7 Park, Hansol 7 Ridolfi, Luca 7 Straughan, Brian 7 Yun, Seok-Bae 7 Zubik-Kowal, Barbara 6 Bae, Hyeong-Ohk 6 Bertozzi, Andrea Louise 6 Cao, Xinru 6 Dimarco, Giacomo 6 Dong, Jiu-Gang 6 Göttlich, Simone 6 Kim, Dohyun 6 Komarova, Natalia L. 6 Liu, Gui-Rong 6 Liu, Zuhan 6 López, Álvaro G. 6 Polewczak, Jacek 6 Sanjuán, Miguel A. F. 6 Seoane, Jesús M. 6 Stinner, Christian 6 Tello, José Ignacio 6 Wazwaz, Abdul-Majid Abdul-Rahman 6 Wei, Jinbo ...and 1,828 more Authors all top 5 Cited in 222 Serials 269 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 140 Mathematical and Computer Modelling 76 Journal of Differential Equations 71 Computers & Mathematics with Applications 66 Journal of Mathematical Analysis and Applications 44 Applied Mathematics and Computation 43 Applied Mathematics Letters 38 Nonlinear Analysis. Real World Applications 36 Journal of Theoretical Biology 33 Journal of Statistical Physics 29 Discrete and Continuous Dynamical Systems. Series B 27 ZAMP. 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Series B (English Edition) 2 Discrete Dynamics in Nature and Society ...and 122 more Serials all top 5 Cited in 46 Fields 863 Partial differential equations (35-XX) 861 Biology and other natural sciences (92-XX) 243 Statistical mechanics, structure of matter (82-XX) 230 Numerical analysis (65-XX) 213 Fluid mechanics (76-XX) 158 Ordinary differential equations (34-XX) 143 Operations research, mathematical programming (90-XX) 135 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 111 Probability theory and stochastic processes (60-XX) 81 Integral equations (45-XX) 74 Dynamical systems and ergodic theory (37-XX) 56 Systems theory; control (93-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 51 Mechanics of deformable solids (74-XX) 27 Mechanics of particles and systems (70-XX) 20 Statistics (62-XX) 18 Operator theory (47-XX) 16 Computer science (68-XX) 16 Classical thermodynamics, heat transfer (80-XX) 14 General and overarching topics; collections (00-XX) 9 Optics, electromagnetic theory (78-XX) 8 Information and communication theory, circuits (94-XX) 7 Difference and functional equations (39-XX) 7 Geophysics (86-XX) 6 Combinatorics (05-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Quantum theory (81-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Differential geometry (53-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Topological groups, Lie groups (22-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Manifolds and cell complexes (57-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year