Edit Profile (opens in new tab) Bellomo, Nicola Co-Author Distance Author ID: bellomo.nicola Published as: Bellomo, N.; Bellomo, Nicola Homepage: http://staff.polito.it/nicola.bellomo/ External Links: MGP · dblp · GND · IdRef · theses.fr Documents Indexed: 211 Publications since 1969, including 14 Books and 1 Additional arXiv Preprint 20 Contributions as Editor · 1 Further Contribution Co-Authors: 142 Co-Authors with 213 Joint Publications 3,895 Co-Co-Authors all top 5 Co-Authors 14 single-authored 23 Bellouquid, Abdelghani 21 Brezzi, Franco 14 Soler, Juan S. 12 Gibelli, Livio 11 Lachowicz, Mirosław 9 Knopoff, Damian A. 9 Riganti, Riccardo 8 De Angelis, Elena 8 Pistone, Giovanni 8 Preziosi, Luigi 8 Toscani, Giuseppe 8 Winkler, Michael 7 Arlotti, Luisa 7 Monaco, Roberto 7 Outada, Nisrine 6 Nieto, Juanjo 6 Tao, Youshan 5 Chaplain, Mark A. J. 5 Coscia, Vincenzo 5 Delitala, Marcello Edoardo 5 Fermo, Luisa 5 Polewczak, Jacek 4 Bonzani, Ida 4 de Socio, Luciano M. 4 Ha, Seung-Yeal 4 Loiodice, Rocco 4 Vacca, Maria Teresa 3 Aylaj, Bouchra 3 Bianca, Carlo 3 Carbonaro, Bruno 3 Dosi, Giovanni 3 Forni, Guido 3 Pulvirenti, Mario 3 Rizzi, Guido 3 Romano, Antonio 3 Tadmor, Eitan 3 Teppati, Giancarlo 3 Tosin, Andrea 3 Virgillito, Maria Enrica 2 Adomian, George 2 Ajmone Marsan, Giulia 2 Battaglio, M. 2 Berestycki, Henri 2 Bertacca, Daniele 2 Bertotti, Maria Letizia 2 Burini, Diletta 2 Chouhad, Nadia 2 De Lillo, Silvana 2 Degond, Pierre 2 Dogbé, Christian 2 Gatignol, Renée 2 Herrero, Miguel Ángel 2 Lo Schiavo, Mauro 2 Maini, Philip Kumar 2 Mamontov, Eugen 2 Matarrese, Sabino 2 Nadal, Jean-Pierre 2 Palczewski, Andrzej 2 Quaini, Annalisa 2 Raccanelli, Alvise 2 Reali, Alessandro 2 Ridolfi, Luca 2 Terna, Pietro 2 Willander, Magnus 2 Zavattaro, M. G. 1 Adam, John A. 1 Albi, Giacomo 1 Ambrosi, Davide 1 Ammon, D. 1 Antonelli, Dario 1 Arnod, S. 1 Augusti, Giuliano 1 Baratta, Alessandro 1 Bartolo, Nicola 1 Beirão da Veiga, Lourenço 1 Bérard, Pierre H. 1 Berrone, Stefano 1 Bigi, Dante 1 Bingham, Richard 1 Bruno, Luca 1 Brzeźniak, Zdzisław 1 Cafaro, Emilio 1 Calander, Nils 1 Carloni, A. 1 Carrillo de la Plata, José Antonio 1 Casciati, Fabio 1 Cazzulo, R. 1 Chilosi, M. 1 Colasuonno, Francesca 1 Corsanego, Alfredo 1 De Nigris, Sarah 1 Di Paola, Mario 1 Ditlevsen, Ove 1 Dogliani, M. 1 Egidi, Massimo 1 Elishakoff, Isaac 1 Esteban, Maria J. 1 Falsone, Giovanni 1 Faravelli, Lucia 1 Firmani, Bruno ...and 82 more Co-Authors all top 5 Serials 54 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 23 Mathematical and Computer Modelling 12 Modeling and Simulation in Science, Engineering and Technology 10 Computers & Mathematics with Applications 10 Applied Mathematics Letters 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 4 Networks and Heterogeneous Media 3 Mathematics and Computers in Simulation 3 Mechanics Research Communications 3 Discrete and Continuous Dynamical Systems. Series B 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 2 Journal of Cosmology and Astroparticle Physics 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 Mathematics and its Applications (Dordrecht) 1 Supplemento ai Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Series in Mathematical Biology and Medicine 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 & 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 92 Biology and other natural sciences (92-XX) 66 Statistical mechanics, structure of matter (82-XX) 65 Partial differential equations (35-XX) 56 Fluid mechanics (76-XX) 38 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 32 General and overarching topics; collections (00-XX) 26 Probability theory and stochastic processes (60-XX) 20 Operations research, mathematical programming (90-XX) 16 Numerical analysis (65-XX) 14 Integral equations (45-XX) 12 Systems theory; control (93-XX) 10 Mechanics of deformable solids (74-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Ordinary differential equations (34-XX) 8 Mechanics of particles and systems (70-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Computer science (68-XX) 3 Geophysics (86-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 2 Relativity and gravitational theory (83-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 202 Publications have been cited 4,618 times in 2,385 Documents Cited by ▼ Year ▼ Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397 Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M. 645 2015 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014 Bellomo, N.; Li, N. K.; Maini, P. K. 210 2008 Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211 Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J. 135 2019 On the modeling of traffic and crowds: a survey of models, speculations, and perspectives. Zbl 1231.90123 Bellomo, Nicola; Dogbe, Christian 121 2011 Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065 Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan 98 2010 Modelling and mathematical problems related to tumor evolution and its interaction with the immune system. Zbl 0997.92020 Bellomo, N.; Preziosi, L. 91 2000 On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065 Bellomo, N.; Soler, J. 83 2012 A survey of models for tumor-immune system dynamics. Zbl 0874.92020 79 1997 Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029 Bellomo, N.; Bellouquid, A.; Delitala, M. 69 2004 On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137 Bellomo, N.; Knopoff, D.; Soler, J. 68 2013 Modeling complex living systems. A kinetic theory and stochastic game approach. Zbl 1140.91007 Bellomo, Nicola 67 2008 Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325 Arlotti, L.; Bellomo, N.; De Angelis, E. 66 2002 On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036 Bellomo, Nicola; Dogbé, Christian 66 2008 A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166 Bellomo, Nicola; Winkler, Michael 65 2017 Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009 Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 61 2007 Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044 Bellomo, Nicola; Winkler, Michael 61 2017 On the mathematical theory of vehicular traffic flow. I: Fluid dynamic and kinetic modelling. Zbl 1041.76061 Bellomo, N.; Delitala, M.; Coscia, V. 57 2002 Dynamics of tumor interaction with the host immune system. Zbl 0811.92014 Bellomo, N.; Forni, G. 56 1994 Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics. Zbl 1414.91053 Marsan, G. Ajmone; Bellomo, N.; Gibelli, L. 55 2016 Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615 Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael 54 2019 A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 1451.92276 Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica 54 2020 On the asymptotic theory from microscopic to macroscopic growing tissue models: an overview with perspectives. Zbl 1328.92023 Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 53 2012 A quest toward a mathematical theory of the dynamics of swarms. Zbl 1366.82077 Bellomo, Nicola; Ha, Seung-Yeal 53 2017 On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability. Zbl 0561.35074 Bellomo, N.; Toscani, G. 52 1985 Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042 Bellomo, Nicola; Gibelli, Livio 51 2015 From a multiscale derivation of nonlinear cross-diffusion models to Keller-Segel models in a Navier-Stokes fluid. Zbl 1353.35038 Bellomo, N.; Bellouquid, A.; Chouhad, N. 51 2016 From the microscale to collective crowd dynamics. Zbl 1280.90019 Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian 50 2013 Mathematical topics in nonlinear kinetic theory. Zbl 0702.76005 Bellomo, Nicola; Palczewski, Andrzej; Toscani, Giuseppe 49 1988 On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028 Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea 48 2013 Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192 Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea 46 2012 On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384 Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine 46 2019 Modelling mathematical methods and scientific computation. Zbl 0871.65001 Bellomo, Nicola; Preziosi, Luigi 44 1995 Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. Zbl 1497.35039 Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M. 42 2022 Strategies of applied mathematics towards an immuno-mathematical theory on tumors and immune system interactions. Zbl 0947.92014 Bellomo, N.; De Angelis, E. 40 1998 A comparison between Adomian’s decomposition methods and perturbation techniques for nonlinear random differential equations. Zbl 0575.60064 Bellomo, Nicola; Monaco, Roberto 38 1985 Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods. Zbl 0898.65074 Bellomo, N. 38 1997 Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052 Bellomo, Nicola; Tao, Youshan 36 2020 Nonlinear stochastic systems in physics and mechanics. Zbl 0623.60084 Bellomo, Nicola; Riganti, Riccardo 35 1987 Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition. Zbl 0932.92016 Bellomo, N.; Firmani, B.; Guerri, L. 34 1999 Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357 Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo 33 2008 Multiscale modeling and mathematical problems related to tumor evolution and medical therapy. Zbl 1107.92020 Bellomo, Nicola; De Angelis, Elena; Preziosi, Luigi 31 2003 From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Zbl 1044.92021 Bellomo, N.; Bellouquid, A. 31 2004 Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems. Zbl 1093.92002 Bellomo, Nicola; Forni, Guido 31 2006 On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029 Bellomo, Nicola; Bellouquid, Abdelghani 31 2015 A unified multiscale vision of behavioral crowds. Zbl 1434.91046 Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro 31 2020 On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis. Zbl 1160.76403 Bellomo, Nicola; Bellouquid, Abdelghani 30 2006 Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045 30 2017 From the modelling of driver’s behavior to hydrodynamic models and problems of traffic flow. Zbl 1005.90016 Bellomo, N.; Marasco, A.; Romano, A. 28 2002 Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001 Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 28 2010 Kinetic equations modelling population dynamics. Zbl 0946.92019 Arlotti, L.; Bellomo, N.; Lachowicz, M. 27 2000 From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications. Zbl 1043.92518 Arlotti, L.; Bellomo, N.; Latrach, K. 27 1999 Solution of a new class of nonlinear kinetic models of population dynamics. Zbl 0853.35050 Arlotti, L.; Bellomo, N. 27 1996 What is life? A perspective of the mathematical kinetic theory of active particles. Zbl 1480.92012 Bellomo, Nicola; Burini, Diletta; Dosi, Giovanni; Gibelli, Livio; Knopoff, Damian; Outada, Nisrine; Terna, Pietro; Virgillito, Maria Enrica 27 2021 Stochastic partial differential equations in continuum physics - on the foundations of the stochastic interpolation method for Ito’s type equations. Zbl 0706.60063 Bellomo, N.; Flandoli, F. 25 1989 A quest towards a mathematical theory of living systems. Zbl 1381.92001 Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine 25 2017 On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372 Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan 25 2014 Complex systems and society. Modeling and simulation. Zbl 1328.00108 Ajmone Marsan, Giulia; Bellomo, Nicola; Tosin, Andrea 25 2013 Mathematical topics in nonlinear kinetic theory II. The Enskog equation. Zbl 0733.76061 Bellomo, N.; Lachowicz, M.; Polewczak, J.; Toscani, G. 24 1991 From a systems theory of sociology to modeling the onset and evolution of criminality. Zbl 1403.91278 Bellomo, Nicola; Colasuonno, Francesca; Knopoff, Damián; Soler, Juan 23 2015 Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042 Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro 23 2022 Solution of nonlinear problems in applied sciences by generalized collocation methods and Mathematica. Zbl 1058.65110 Bellomo, N.; De Angelis, E.; Graziano, L.; Romano, A. 22 2001 First-order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow. Zbl 1177.90076 Bellomo, Nicola; Coscia, Vincenzo 22 2005 On Adomian’s decomposition method and some comparisons with Picard’s iterative scheme. Zbl 0624.60079 Bellomo, N.; Sarafyan, D. 22 1987 From primordial black holes abundance to primordial curvature power spectrum (and back). Zbl 1515.83155 Kalaja, Alba; Bellomo, Nicola; Bartolo, Nicola; Bertacca, Daniele; Matarrese, Sabino; Musco, Ilia; Raccanelli, Alvise; Verde, Licia 22 2019 Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods. Zbl 0822.65075 Bellomo, N.; Ridolfi, L. 21 1995 The modelling of the immune competition by generalized kinetic (Boltzmann) models: Review and research perspectives. Zbl 1022.92012 Bellomo, N.; Bellouquid, A.; De Angelis, E. 21 2003 Population dynamics with stochastic interaction. Zbl 0838.92018 Arlotti, L.; Bellomo, N. 20 1995 On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052 Bellomo, Nicola; Bellouquid, Abdelghani 20 2011 Crowd dynamics on a moving platform: mathematical modelling and application to lively footbridges. Zbl 1198.74031 Venuti, Fiammetta; Bruno, Luca; Bellomo, Nicola 19 2007 From microscopic to macroscopic description of multicellular systems and biological growing tissues. Zbl 1121.92025 Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A. 18 2007 Mathematics and complexity in life and human sciences. Zbl 1218.92001 Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 18 2010 The Enskog-Boltzmann equation in the whole space \({\mathbb{R}}^ 3:\) Some global existence, uniqueness and stability results. Zbl 0633.35072 Toscani, G.; Bellomo, N. 17 1987 Lecture notes on the mathematical theory of generalized Boltzmann models. Zbl 0983.82012 Bellomo, Nicola; Lo Schiavo, Mauro 17 2000 On the initial value problem for the Boltzmann equation with a force term. Zbl 0699.35237 Bellomo, N.; Lachowicz, M.; Palczewski, A.; Toscani, G. 17 1989 Nonlinear stochastic evolution problems in applied sciences. Zbl 0770.60061 Bellomo, N.; Brzezniak, Z.; de Socio, L. M. 17 1992 Traffic, crowds, and swarms. Zbl 1171.90361 Bellomo, N.; Brezzi, F. 17 2008 Behavioral crowds: modeling and Monte Carlo simulations toward validation. Zbl 1390.65030 Bellomo, N.; Gibelli, L. 17 2016 The discrete Boltzmann equation: A review of the mathematical aspects of the initial and initial-boundary value problems. Zbl 0737.76065 Bellomo, N.; Gustafsson, T. 15 1991 On a class of integro-differential equations modeling complex systems with nonlinear interactions. Zbl 1243.82046 Arlotti, L.; De Angelis, E.; Fermo, L.; Lachowicz, M.; Bellomo, N. 15 2012 Modeling in applied sciences. A kinetic theory approach. Zbl 0938.00011 14 2000 From the Boltzmann equation to generalized kinetic models in applied sciences. Zbl 0897.76082 Bellomo, N.; Lo Schiavo, M. 14 1997 Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015 14 2008 Modeling behavioral social systems. Zbl 1355.00017 13 2017 Towards a mathematical theory of behavioral swarms. Zbl 1459.82166 Bellomo, Nicola; Ha, Seung-Yeal; Outada, Nisrine 13 2020 Multiscale models of COVID-19 with mutations and variants. Zbl 1501.92143 Bellomo, Nicola; Burini, Diletta; Outada, Nisrine 13 2022 Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049 Bellomo, N.; Maini, P. K. 12 2007 Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317 Bellomo, N.; Brezzi, F.; Manzini, G. 12 2014 Modeling the hiding-learning dynamics in large living systems. Zbl 1198.37117 Bellomo, N. 11 2010 Time evolution and fluctuations of the probability density and entropy function for a class of nonlinear stochastic systems in mathematical physics. Zbl 0604.93052 Bellomo, N.; Riganti, R. 11 1986 The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem. Zbl 0706.76084 Bellomo, N.; Kawashima, S. 11 1990 Random heat equation: Solutions by the stochastic adaptive interpolation method. Zbl 0661.60082 Bellomo, N.; de Socio, L. M.; Monaco, R. 10 1988 On the mathematical theory of living systems. II: The interplay between mathematics and system biology. Zbl 1236.92005 Coscia, V.; Fermo, L.; Bellomo, N. 10 2011 Generalized kinetic models in applied sciences. Lecture notes on mathematical problem. Zbl 1073.82001 Arlotti, Luisa; Bellomo, Nicola; De Angelis, Elena; Lachowicz, Miroslaw 10 2003 Modelling tumor progression, heterogeneity, and immune competition. Zbl 1050.92026 Ambrosi, D.; Bellomo, N.; Preziosi, L. 10 2002 Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024 Bellomo, N.; Brezzi, F. 10 2016 The semicontinuous Boltzmann equation: Towards a model for fluid dynamic applications. Zbl 0770.76057 Longo, E.; Preziosi, L.; Bellomo, N. 9 1993 On the mathematical modelling of physical systems by ordinary differential stochastic equations. Zbl 0547.60060 Bellomo, N.; Cafaro, E.; Rizzi, G. 9 1984 Towards a mathematical theory of complex biological systems. Zbl 1286.92003 Bianca, Carlo; Bellomo, Nicola 9 2011 On the asymptotic equivalence between the Enskog and the Boltzmann equations. Zbl 1086.82539 Bellomo, N.; Lachowicz, M. 9 1988 Mathematics and complexity in human and life sciences. Zbl 1175.00022 Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 9 2009 Human behavioral crowds review, critical analysis and research perspectives. Zbl 1517.90024 Bellomo, Nicola; Liao, Jie; Quaini, Annalisa; Russo, Lucia; Siettos, Constantinos 2 2023 Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. Zbl 1497.35039 Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M. 42 2022 Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042 Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro 23 2022 Multiscale models of COVID-19 with mutations and variants. Zbl 1501.92143 Bellomo, Nicola; Burini, Diletta; Outada, Nisrine 13 2022 CLASS_GWB: robust modeling of the astrophysical gravitational wave background anisotropies. Zbl 1506.83008 Bellomo, Nicola; Bertacca, Daniele; Jenkins, Alexander C.; Matarrese, Sabino; Raccanelli, Alvise; Regimbau, Tania; Ricciardone, Angelo; Sakellariadou, Mairi 8 2022 On the mathematical theory of behavioral swarms emerging collective dynamics. Zbl 1515.92094 Bellomo, N.; Ha, S.-Y.; Outada, N.; Yoon, J. 3 2022 Predicting pandemics in a globally connected world. Volume 1. Toward a multiscale, multidisciplinary framework through modeling and simulation. Zbl 1495.92004 1 2022 What is life? A perspective of the mathematical kinetic theory of active particles. Zbl 1480.92012 Bellomo, Nicola; Burini, Diletta; Dosi, Giovanni; Gibelli, Livio; Knopoff, Damian; Outada, Nisrine; Terna, Pietro; Virgillito, Maria Enrica 27 2021 Modeling virus pandemics in a globally connected world a challenge towards a mathematics for living systems. Zbl 1484.00091 5 2021 Recent results and perspectives for virtual element methods. Zbl 1478.65112 Beirão da Veiga, L.; Bellomo, N.; Brezzi, F.; Marini, L. D. 3 2021 Collective dynamics in science and society. Zbl 1485.35357 Bellomo, N.; Brezzi, F. 1 2021 Crowd dynamics by kinetic theory modeling. Complexity, modeling, simulations, and safety. Zbl 1457.91002 Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Knopoff, Damián 1 2021 On the interaction between soft and hard sciences: the role of mathematical sciences. Looking ahead to research perspectives. Zbl 1464.35354 Aylaj, B.; Bellomo, N.; Chouhad, N.; Knopoff, D. 1 2021 A multiscale model of virus pandemic: heterogeneous interactive entities in a globally connected world. Zbl 1451.92276 Bellomo, Nicola; Bingham, Richard; Chaplain, Mark A. J.; Dosi, Giovanni; Forni, Guido; Knopoff, Damian A.; Lowengrub, John; Twarock, Reidun; Virgillito, Maria Enrica 54 2020 Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052 Bellomo, Nicola; Tao, Youshan 36 2020 A unified multiscale vision of behavioral crowds. Zbl 1434.91046 Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro 31 2020 Towards a mathematical theory of behavioral swarms. Zbl 1459.82166 Bellomo, Nicola; Ha, Seung-Yeal; Outada, Nisrine 13 2020 From particles to firms: on the kinetic theory of climbing up evolutionary landscapes. Zbl 1445.82020 Bellomo, Nicola; Dosi, Giovanni; Knopoff, Damián A.; Virgillito, Maria Enrica 8 2020 Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. Zbl 1451.92062 Bellomo, N.; Tao, Y.; Winkler, M. 5 2020 Active particles methods and challenges in behavioral systems. Zbl 1454.35392 Bellomo, N.; Brezzi, F.; Soler, J. 4 2020 Swarms dynamics approach to behavioral economy: theoretical tools and price sequences. Zbl 1451.82063 Bellomo, Nicola; De Nigris, Sarah; Knopoff, Damián; Morini, Matteo; Terna, Pietro 2 2020 Recent results and challenges in behavioral systems. Zbl 07291075 1 2020 Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. Zbl 1431.35211 Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J. 135 2019 Occurrence vs. absence of taxis-driven instabilities in a May-Nowak model for virus infection. Zbl 1428.35615 Bellomo, Nicola; Painter, Kevin J.; Tao, Youshan; Winkler, Michael 54 2019 On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384 Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine 46 2019 From primordial black holes abundance to primordial curvature power spectrum (and back). Zbl 1515.83155 Kalaja, Alba; Bellomo, Nicola; Bartolo, Nicola; Bertacca, Daniele; Matarrese, Sabino; Musco, Ilia; Raccanelli, Alvise; Verde, Licia 22 2019 Active particles, Volume 2. Advances in theory, models, and applications. Zbl 1427.74004 7 2019 Challenges in active particles methods: theory and applications. Zbl 1411.35149 Bellomo, N.; Brezzi, F. 9 2018 Crowd dynamics, Volume 1. Theory, models, and safety problems. Zbl 1410.92004 5 2018 Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078 Bellomo, N.; Tao, Y.; Winkler, M. 3 2018 A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166 Bellomo, Nicola; Winkler, Michael 65 2017 Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044 Bellomo, Nicola; Winkler, Michael 61 2017 A quest toward a mathematical theory of the dynamics of swarms. Zbl 1366.82077 Bellomo, Nicola; Ha, Seung-Yeal 53 2017 Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045 30 2017 A quest towards a mathematical theory of living systems. Zbl 1381.92001 Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine 25 2017 Modeling behavioral social systems. Zbl 1355.00017 13 2017 Mathematical models of self-propelled particles. Zbl 1370.82034 Bellomo, N.; Brezzi, F. 5 2017 Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics. Zbl 1414.91053 Marsan, G. Ajmone; Bellomo, N.; Gibelli, L. 55 2016 From a multiscale derivation of nonlinear cross-diffusion models to Keller-Segel models in a Navier-Stokes fluid. Zbl 1353.35038 Bellomo, N.; Bellouquid, A.; Chouhad, N. 51 2016 Behavioral crowds: modeling and Monte Carlo simulations toward validation. Zbl 1390.65030 Bellomo, N.; Gibelli, L. 17 2016 Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024 Bellomo, N.; Brezzi, F. 10 2016 Macroscopic first order models of multicomponent human crowds with behavioral dynamics. Zbl 1356.91079 Bellomo, N.; Berrone, S.; Gibelli, L.; Pieri, A. B. 2 2016 Toward a mathematical theory of Keller-Segel models of pattern formation in biological tissues. Zbl 1326.35397 Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M. 645 2015 Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042 Bellomo, Nicola; Gibelli, Livio 51 2015 On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029 Bellomo, Nicola; Bellouquid, Abdelghani 31 2015 From a systems theory of sociology to modeling the onset and evolution of criminality. Zbl 1403.91278 Bellomo, Nicola; Colasuonno, Francesca; Knopoff, Damián; Soler, Juan 23 2015 Traffic, crowds, and dynamics of self-organized particles: new trends and challenges. Zbl 1308.92110 Bellomo, Nicola; Brezzi, Franco 5 2015 On the derivation of angiogenesis tissue models: from the micro-scale to the macro-scale. Zbl 1327.76175 Bellomo, Nicola; Bellouquid, Abdelghani 2 2015 On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372 Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan 25 2014 Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317 Bellomo, N.; Brezzi, F.; Manzini, G. 12 2014 Complex systems: new challenges with modeling headaches. Zbl 1280.00033 Bellomo, N.; Brezzi, Franco 3 2014 On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137 Bellomo, N.; Knopoff, D.; Soler, J. 68 2013 From the microscale to collective crowd dynamics. Zbl 1280.90019 Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian 50 2013 On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028 Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea 48 2013 Complex systems and society. Modeling and simulation. Zbl 1328.00108 Ajmone Marsan, Giulia; Bellomo, Nicola; Tosin, Andrea 25 2013 Modeling chemotaxis from \(L^2\)-closure moments in kinetic theory of active particles. Zbl 1280.35160 Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan 8 2013 Heterogeneous distribution of mechanical stress in human lung: a mathematical approach to evaluate abnormal remodeling in IPF. Zbl 1330.92019 Carloni, A.; Poletti, V.; Fermo, L.; Bellomo, N.; Chilosi, M. 3 2013 Sources of nonlinearity in the kinetic theory for active particles with focus on the formation of political opinions. Zbl 1315.91054 Bellomo, Nicola; Coscia, Vincenzo 3 2013 On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065 Bellomo, N.; Soler, J. 83 2012 On the asymptotic theory from microscopic to macroscopic growing tissue models: an overview with perspectives. Zbl 1328.92023 Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 53 2012 Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192 Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea 46 2012 On a class of integro-differential equations modeling complex systems with nonlinear interactions. Zbl 1243.82046 Arlotti, L.; De Angelis, E.; Fermo, L.; Lachowicz, M.; Bellomo, N. 15 2012 Mathematics and complexity of multi-particle systems. Zbl 1242.92003 Bellomo, N.; Brezzi, F. 8 2012 Global solution to the Cauchy problem for discrete velocity models of vehicular traffic. Zbl 1230.35056 Bellomo, N.; Bellouquid, A. 4 2012 On the modeling of traffic and crowds: a survey of models, speculations, and perspectives. Zbl 1231.90123 Bellomo, Nicola; Dogbe, Christian 121 2011 On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052 Bellomo, Nicola; Bellouquid, Abdelghani 20 2011 On the mathematical theory of living systems. II: The interplay between mathematics and system biology. Zbl 1236.92005 Coscia, V.; Fermo, L.; Bellomo, N. 10 2011 Towards a mathematical theory of complex biological systems. Zbl 1286.92003 Bianca, Carlo; Bellomo, Nicola 9 2011 Mathematics and complexity in biological sciences. Zbl 1328.00110 Bellomo, N.; Brezzi, F. 7 2011 On the modeling of collective learning dynamics. Zbl 1233.92002 De Lillo, S.; Bellomo, N. 6 2011 On the modeling of crowd dynamics: an overview and research perspectives. Zbl 1242.90053 Bellomo, Nicola; Bianca, Carlo; Coscia, Vincenzo 6 2011 Continuum thermodynamics and nonlinear partial differential equations. Zbl 1213.80002 Bellomo, N.; Málek, J. 3 2011 Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065 Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan 98 2010 Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001 Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 28 2010 Mathematics and complexity in life and human sciences. Zbl 1218.92001 Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 18 2010 Modeling the hiding-learning dynamics in large living systems. Zbl 1198.37117 Bellomo, N. 11 2010 On the modelling of vehicular traffic and crowds by kinetic theory of active particles. Zbl 1211.91210 Bellomo, Nicola; Bellouquid, Abdelghani 6 2010 On the modeling of nonlinear interactions in large complex systems. Zbl 1197.92002 Bellomo, N.; Bianca, C.; Mongiovì, M. S. 6 2010 Mathematics and complexity in human and life sciences. Zbl 1175.00022 Bellomo, 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 1184.93071 Bellomo, N.; Bellouquid, A. 8 2009 On the coupling of higher and lower scales using the mathematical kinetic theory of active particles. Zbl 1162.92013 Bellomo, N.; Delitala, M. 5 2009 From the mathematical kinetic theory for active particles on the derivation of hyperbolic macroscopic tissue models. Zbl 1171.92309 Bellomo, Nicola; Bellouquid, Abdelghani; Soler, Juan 5 2009 On the derivation of macroscopic hyperbolic equations for binary multicellular growing mixtures. Zbl 1186.35131 Bellomo, N.; Bellouquid, A. 2 2009 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014 Bellomo, N.; Li, N. K.; Maini, P. K. 210 2008 Modeling complex living systems. A kinetic theory and stochastic game approach. Zbl 1140.91007 Bellomo, Nicola 67 2008 On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036 Bellomo, Nicola; Dogbé, Christian 66 2008 Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357 Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo 33 2008 Traffic, crowds, and swarms. Zbl 1171.90361 Bellomo, N.; Brezzi, F. 17 2008 Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015 14 2008 On the complexity of multiple interactions with additional reasonings about Kate, Jules and Jim. Zbl 1144.82339 Bellomo, Nicola; Carbonaro, Bruno 5 2008 Generalized collocation methods. Solutions to nonlinear problems. Zbl 1135.65038 Bellomo, Nicola; Lods, Bertrand; Revelli, Roberto; Ridolfi, Luca 4 2008 From the mathematical kinetic theory of active particles to multiscale modelling of complex biological systems. Zbl 1134.92003 Bellomo, 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 1187.91159 Bellomo, N.; Carbonaro, B.; Gramani, L. 1 2008 Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009 Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 61 2007 Crowd dynamics on a moving platform: mathematical modelling and application to lively footbridges. Zbl 1198.74031 Venuti, Fiammetta; Bruno, Luca; Bellomo, Nicola 19 2007 From microscopic to macroscopic description of multicellular systems and biological growing tissues. Zbl 1121.92025 Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A. 18 2007 Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049 Bellomo, N.; Maini, P. K. 12 2007 Mathematical tools of the kinetic theory of active particles with some reasoning on the modelling progression and heterogeneity. Zbl 1165.82319 De Lillo, S.; Salvatori, M. C.; Bellomo, N. 8 2007 Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems. Zbl 1093.92002 Bellomo, Nicola; Forni, Guido 31 2006 On the onset of non-linearity for diffusion models of binary mixtures of biological materials by asymptotic analysis. Zbl 1160.76403 Bellomo, Nicola; Bellouquid, Abdelghani 30 2006 ...and 102 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,694 Authors 125 Bellomo, Nicola 94 Ha, Seung-Yeal 70 Winkler, Michael 39 Tao, Youshan 36 Zheng, Jiashan 34 Lachowicz, Mirosław 30 Liu, Bin 29 Delitala, Marcello Edoardo 27 Piccoli, Benedetto 26 Elaiw, Ahmed M. 25 Mu, Chunlai 24 Bonzani, Ida 24 Lankeit, Johannes 24 Ren, Guoqiang 24 Surulescu, Christina 23 Soler, Juan S. 22 Bellouquid, Abdelghani 22 Toscani, Giuseppe 20 De Angelis, Elena 20 Park, Hansol 19 Brezzi, Franco 19 Herty, Michael Matthias 19 Klar, Axel 19 Wang, Liangchen 19 Yokota, Tomomi 19 Zheng, Pan 18 Knopoff, Damian A. 18 Shen, Wenxian 17 Pareschi, Lorenzo 17 Perthame, Benoît 16 Bianca, Carlo 16 Degond, Pierre 16 Wang, Zhian 16 Xiang, Tian 16 Xiang, Zhaoyin 15 Dai, Feng 15 Fuest, Mario 15 Mizukami, Masaaki 14 Black, Tobias 14 Kim, Jeongho 13 Chaplain, Mark A. J. 13 Ko, Dongnam 13 Shim, Woojoo 12 Ahn, Hyunjin 12 Carrillo de la Plata, José Antonio 12 Jin, Haiyang 12 Kim, Doheon 12 Preziosi, Luigi 12 Viglialoro, Giuseppe 11 Kim, Dohyun 11 Liu, Zuhan 11 Monaco, Roberto 11 Oden, John Tinsley 11 Wang, Yifu 10 Bertotti, Maria Letizia 10 Borsche, Raul 10 Cui, Shangbin 10 Dimarco, Giacomo 10 Dolfin, Marina 10 Fujie, Kentaro 10 Gibelli, Livio 10 Jin, Shi 10 Kang, Myeongju 10 Ke, Yuanyuan 10 Lin, Ke 10 Painter, Kevin J. 10 Pan, Xu 10 Salako, Rachidi Bolaji 10 Tosin, Andrea 10 Wang, Yulan 9 Adomian, George 9 Albi, Giacomo 9 Alshamrani, Noura H. 9 Bae, Hyeong-Ohk 9 Bertozzi, Andrea Louise 9 Cattani, Carlo 9 Coscia, Vincenzo 9 Dong, Jiu-Gang 9 Kolev, Mikhail K. 9 Lo Schiavo, Mauro 9 Nieto, Juanjo 9 Pinasco, Juan Pablo 9 Saintier, Nicolas 9 Wang, Jianping 9 Xie, Li 9 Zhang, Xiongtao 9 Zhou, Ling 8 Arlotti, Luisa 8 Burini, Diletta 8 Dogbé, Christian 8 Fermo, Luisa 8 Guillén González, Francisco M. 8 Guo, Shangjiang 8 Hobiny, Aatef D. 8 Jiang, Jie 8 Lima, Ernesto A. B. F. 8 Lowengrub, John Samuel 8 Negreanu, Mihaela 8 Qiu, Shuyan 8 Riganti, Riccardo ...and 2,594 more Authors all top 5 Cited in 284 Serials 352 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 135 Mathematical and Computer Modelling 118 Journal of Differential Equations 87 Journal of Mathematical Analysis and Applications 75 Discrete and Continuous Dynamical Systems. Series B 70 Computers & Mathematics with Applications 57 Nonlinear Analysis. Real World Applications 56 ZAMP. 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Neuvième Série 3 Mathematical Problems in Engineering 3 Mathematical Population Studies 3 Vietnam Journal of Mathematics ...and 184 more Serials all top 5 Cited in 50 Fields 1,380 Partial differential equations (35-XX) 1,371 Biology and other natural sciences (92-XX) 339 Statistical mechanics, structure of matter (82-XX) 317 Numerical analysis (65-XX) 270 Fluid mechanics (76-XX) 236 Ordinary differential equations (34-XX) 199 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 176 Operations research, mathematical programming (90-XX) 150 Probability theory and stochastic processes (60-XX) 97 Integral equations (45-XX) 91 Dynamical systems and ergodic theory (37-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 83 Systems theory; control (93-XX) 62 Mechanics of deformable solids (74-XX) 46 Mechanics of particles and systems (70-XX) 29 Statistics (62-XX) 29 Relativity and gravitational theory (83-XX) 28 Computer science (68-XX) 27 Operator theory (47-XX) 20 Classical thermodynamics, heat transfer (80-XX) 20 Quantum theory (81-XX) 17 General and overarching topics; collections (00-XX) 14 Differential geometry (53-XX) 11 Real functions (26-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Difference and functional equations (39-XX) 9 Information and communication theory, circuits (94-XX) 8 Combinatorics (05-XX) 8 Functional analysis (46-XX) 8 Optics, electromagnetic theory (78-XX) 6 Measure and integration (28-XX) 6 Geophysics (86-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Astronomy and astrophysics (85-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) Citations by Year