Edit Profile (opens in new tab) 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 · IdRef · theses.fr Documents Indexed: 205 Publications since 1969, including 14 Books 18 Contributions as Editor · 1 Further Contribution Co-Authors: 134 Co-Authors with 205 Joint Publications 3,324 Co-Co-Authors all top 5 Co-Authors 14 single-authored 23 Bellouquid, Abdelghani 19 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 7 Arlotti, Luisa 7 Monaco, Roberto 7 Winkler, Michael 6 Nieto, Juanjo 6 Tao, Youshan 5 Coscia, Vincenzo 5 Delitala, Marcello Edoardo 5 Fermo, Luisa 5 Outada, Nisrine 5 Polewczak, Jacek 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 Chaplain, Mark A. J. 3 Dosi, Giovanni 3 Forni, Guido 3 Ha, Seung-Yeal 3 Pulvirenti, Mario 3 Rizzi, Guido 3 Romano, Antonio Enea 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 Bertotti, Maria Letizia 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 Nadal, Jean-Pierre 2 Palczewski, Andrzej 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 Bertacca, Daniele 1 Bigi, Dante 1 Bingham, Richard 1 Bruno, Luca 1 Brzeźniak, Zdzisław 1 Burini, Diletta 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 1 Flandoli, Franco 1 Formaggia, Luca 1 Gabetta, Ester ...and 74 more Co-Authors all top 5 Serials 50 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 23 Mathematical and Computer Modelling 11 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 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 Journal of Cosmology and Astroparticle Physics 1 Differential Equations & Nonlinear Mechanics 1 Mathematics and its Applications (Dordrecht) 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 88 Biology and other natural sciences (92-XX) 65 Statistical mechanics, structure of matter (82-XX) 62 Partial differential equations (35-XX) 56 Fluid mechanics (76-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 30 General and overarching topics; collections (00-XX) 25 Probability theory and stochastic processes (60-XX) 19 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) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 190 Publications have been cited 3,702 times in 1,881 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. 459 2015 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014Bellomo, N.; Li, N. K.; Maini, P. K. 189 2008 On the modeling of traffic and crowds: a survey of models, speculations, and perspectives. Zbl 1231.90123Bellomo, Nicola; Dogbe, Christian 100 2011 Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan 86 2010 Modelling and mathematical problems related to tumor evolution and its interaction with the immune system. Zbl 0997.92020Bellomo, N.; Preziosi, L. 77 2000 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. 72 2019 On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065Bellomo, N.; Soler, J. 71 2012 Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029Bellomo, N.; Bellouquid, A.; Delitala, M. 67 2004 On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137Bellomo, N.; Knopoff, D.; Soler, J. 67 2013 A survey of models for tumor-immune system dynamics. Zbl 0874.92020 63 1997 Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325Arlotti, L.; Bellomo, N.; De Angelis, E. 63 2002 Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 59 2007 On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036Bellomo, Nicola; Dogbé, Christian 58 2008 Modeling complex living systems. A kinetic theory and stochastic game approach. Zbl 1140.91007Bellomo, Nicola 58 2008 Dynamics of tumor interaction with the host immune system. Zbl 0811.92014Bellomo, N.; Forni, G. 53 1994 On the mathematical theory of vehicular traffic flow. I: Fluid dynamic and kinetic modelling. Zbl 1041.76061Bellomo, N.; Delitala, M.; Coscia, V. 53 2002 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. 51 2012 On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability. Zbl 0561.35074Bellomo, N.; Toscani, G. 50 1985 Mathematical topics in nonlinear kinetic theory. Zbl 0702.76005Bellomo, Nicola; Palczewski, Andrzej; Toscani, Giuseppe 47 1988 Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics. Zbl 1414.91053Marsan, G. Ajmone; Bellomo, N.; Gibelli, L. 44 2016 A quest toward a mathematical theory of the dynamics of swarms. Zbl 1366.82077Bellomo, Nicola; Ha, Seung-Yeal 44 2017 Modelling mathematical methods and scientific computation. Zbl 0871.65001Bellomo, Nicola; Preziosi, Luigi 43 1995 A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166Bellomo, Nicola; Winkler, Michael 43 2017 Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea 42 2012 On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea 41 2013 Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042Bellomo, Nicola; Gibelli, Livio 40 2015 From the microscale to collective crowd dynamics. Zbl 1280.90019Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian 40 2013 Strategies of applied mathematics towards an immuno-mathematical theory on tumors and immune system interactions. Zbl 0947.92014Bellomo, N.; De Angelis, E. 39 1998 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. 38 2016 A comparison between Adomian’s decomposition methods and perturbation techniques for nonlinear random differential equations. Zbl 0575.60064Bellomo, Nicola; Monaco, Roberto 38 1985 Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044Bellomo, Nicola; Winkler, Michael 37 2017 Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods. Zbl 0898.65074Bellomo, N. 37 1997 Nonlinear stochastic systems in physics and mechanics. Zbl 0623.60084Bellomo, Nicola; Riganti, Riccardo 34 1987 Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems. Zbl 1093.92002Bellomo, Nicola; Forni, Guido 31 2006 Multiscale modeling and mathematical problems related to tumor evolution and medical therapy. Zbl 1107.92020Bellomo, Nicola; De Angelis, Elena; Preziosi, Luigi 31 2003 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 Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition. Zbl 0932.92016Bellomo, N.; Firmani, B.; Guerri, L. 29 1999 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 29 2019 Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo 29 2008 From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Zbl 1044.92021Bellomo, N.; Bellouquid, A. 28 2004 Solution of a new class of nonlinear kinetic models of population dynamics. Zbl 0853.35050Arlotti, L.; Bellomo, N. 26 1996 From the modelling of driver’s behavior to hydrodynamic models and problems of traffic flow. Zbl 1005.90016Bellomo, N.; Marasco, A.; Romano, A. 26 2002 Kinetic equations modelling population dynamics. Zbl 0946.92019Arlotti, L.; Bellomo, N.; Lachowicz, M. 26 2000 Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 26 2010 On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan 25 2014 On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029Bellomo, Nicola; Bellouquid, Abdelghani 25 2015 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 On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine 24 2019 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. 24 1989 Mathematical topics in nonlinear kinetic theory II. The Enskog equation. Zbl 0733.76061Bellomo, N.; Lachowicz, M.; Polewczak, J.; Toscani, G. 23 1991 On Adomian’s decomposition method and some comparisons with Picard’s iterative scheme. Zbl 0624.60079Bellomo, N.; Sarafyan, D. 22 1987 Complex systems and society. Modeling and simulation. Zbl 1328.00108Ajmone Marsan, Giulia; Bellomo, Nicola; Tosin, Andrea 22 2013 First-order models and closure of the mass conservation equation in the mathematical theory of vehicular traffic flow. Zbl 1177.90076Bellomo, Nicola; Coscia, Vincenzo 21 2005 Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods. Zbl 0822.65075Bellomo, N.; Ridolfi, L. 21 1995 Population dynamics with stochastic interaction. Zbl 0838.92018Arlotti, L.; Bellomo, N. 20 1995 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 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 20 2020 From a systems theory of sociology to modeling the onset and evolution of criminality. Zbl 1403.91278Bellomo, Nicola; Colasuonno, Francesca; Knopoff, Damián; Soler, Juan 19 2015 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 Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052Bellomo, Nicola; Tao, Youshan 19 2020 Crowd dynamics on a moving platform: mathematical modelling and application to lively footbridges. Zbl 1198.74031Venuti, Fiammetta; Bruno, Luca; Bellomo, Nicola 18 2007 On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052Bellomo, Nicola; Bellouquid, Abdelghani 18 2011 From microscopic to macroscopic description of multicellular systems and biological growing tissues. Zbl 1121.92025Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A. 17 2007 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 A quest towards a mathematical theory of living systems. Zbl 1381.92001Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine 16 2017 Nonlinear stochastic evolution problems in applied sciences. Zbl 0770.60061Bellomo, N.; Brzezniak, Z.; de Socio, L. M. 16 1992 Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045 16 2017 Mathematics and complexity in life and human sciences. Zbl 1218.92001Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 16 2010 Traffic, crowds, and swarms. Zbl 1171.90361Bellomo, N.; Brezzi, F. 16 2008 A unified multiscale vision of behavioral crowds. Zbl 1434.91046Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro 16 2020 The Enskog-Boltzmann equation in the whole space \({\mathbb{R}}^ 3:\) Some global existence, uniqueness and stability results. Zbl 0633.35072Toscani, G.; Bellomo, N. 15 1987 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. 15 2012 From the Boltzmann equation to generalized kinetic models in applied sciences. Zbl 0897.76082Bellomo, N.; Lo Schiavo, M. 14 1997 Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015 13 2008 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 Lecture notes on the mathematical theory of generalized Boltzmann models. Zbl 0983.82012Bellomo, Nicola; Lo Schiavo, Mauro 12 2000 Behavioral crowds: modeling and Monte Carlo simulations toward validation. Zbl 1390.65030Bellomo, N.; Gibelli, L. 12 2016 Modeling the hiding-learning dynamics in large living systems. Zbl 1198.37117Bellomo, N. 11 2010 The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem. Zbl 0706.76084Bellomo, N.; Kawashima, S. 11 1990 Modeling behavioral social systems. Zbl 1355.00017 10 2017 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 Random heat equation: Solutions by the stochastic adaptive interpolation method. Zbl 0661.60082Bellomo, N.; de Socio, L. M.; Monaco, R. 10 1988 Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024Bellomo, N.; Brezzi, F. 10 2016 Modelling tumor progression, heterogeneity, and immune competition. Zbl 1050.92026Ambrosi, D.; Bellomo, N.; Preziosi, L. 10 2002 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 Generalized kinetic models in applied sciences. Lecture notes on mathematical problem. Zbl 1073.82001Arlotti, Luisa; Bellomo, Nicola; De Angelis, Elena; Lachowicz, Miroslaw 10 2003 The semicontinuous Boltzmann equation: Towards a model for fluid dynamic applications. Zbl 0770.76057Longo, E.; Preziosi, L.; Bellomo, N. 9 1993 Time-evolution of the probability density under the action of a deterministic dynamical system. Zbl 0475.70019Bellomo, N.; Pistone, G. 9 1980 Mathematics and complexity in human and life sciences. Zbl 1175.00022Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 9 2009 Global existence uniqueness and stability of the nonlinear Boltzmann equation with almost general gas-particles interaction potential. Zbl 0642.76093Toscani, G.; Bellomo, N. 8 1985 Nonlinear kinetic equations with dissipative collisions. Zbl 0835.76091Bellomo, Nicola; Esteban, Maria Jesus; Lachowicz, Mirosław 8 1995 Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317Bellomo, N.; Brezzi, F.; Manzini, G. 8 2014 On the mathematical modelling of physical systems by ordinary differential stochastic equations. Zbl 0547.60060Bellomo, N.; Cafaro, E.; Rizzi, G. 8 1984 On the asymptotic equivalence between the Enskog and the Boltzmann equations. Zbl 1086.82539Bellomo, N.; Lachowicz, M. 8 1988 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 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 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 Mathematics and complexity of multi-particle systems. Zbl 1242.92003Bellomo, N.; Brezzi, F. 8 2012 Mathematics and complexity in biological sciences. Zbl 1328.00110Bellomo, N.; Brezzi, F. 7 2011 What is life? A perspective of the mathematical kinetic theory of active particles. Zbl 1480.92012Bellomo, Nicola; Burini, Diletta; Dosi, Giovanni; Gibelli, Livio; Knopoff, Damian; Outada, Nisrine; Terna, Pietro; Virgillito, Maria Enrica 5 2021 On the interaction between soft and hard sciences: the role of mathematical sciences. Looking ahead to research perspectives. Zbl 1464.35354Aylaj, B.; Bellomo, N.; Chouhad, N.; Knopoff, D. 1 2021 Crowd dynamics by kinetic theory modeling. Complexity, modeling, simulations, and safety. Zbl 1457.91002Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Knopoff, Damián 1 2021 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 20 2020 Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052Bellomo, Nicola; Tao, Youshan 19 2020 A unified multiscale vision of behavioral crowds. Zbl 1434.91046Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro 16 2020 Towards a mathematical theory of behavioral swarms. Zbl 1459.82166Bellomo, Nicola; Ha, Seung-Yeal; Outada, Nisrine 7 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 5 2020 Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. Zbl 1451.92062Bellomo, N.; Tao, Y.; Winkler, M. 2 2020 Active particles methods and challenges in behavioral systems. Zbl 1454.35392Bellomo, N.; Brezzi, F.; Soler, J. 2 2020 Recent results and challenges in behavioral systems. Zbl 07291075 1 2020 Swarms dynamics approach to behavioral economy: theoretical tools and price sequences. Zbl 1451.82063Bellomo, Nicola; De Nigris, Sarah; Knopoff, Damián; Morini, Matteo; Terna, Pietro 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. 72 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 29 2019 On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine 24 2019 Active particles, Volume 2. Advances in theory, models, and applications. Zbl 1427.74004 3 2019 Challenges in active particles methods: theory and applications. Zbl 1411.35149Bellomo, N.; Brezzi, F. 7 2018 Crowd dynamics, Volume 1. Theory, models, and safety problems. Zbl 1410.92004 2 2018 Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078Bellomo, N.; Tao, Y.; Winkler, M. 2 2018 A quest toward a mathematical theory of the dynamics of swarms. Zbl 1366.82077Bellomo, Nicola; Ha, Seung-Yeal 44 2017 A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166Bellomo, Nicola; Winkler, Michael 43 2017 Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044Bellomo, Nicola; Winkler, Michael 37 2017 A quest towards a mathematical theory of living systems. Zbl 1381.92001Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine 16 2017 Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045 16 2017 Modeling behavioral social systems. Zbl 1355.00017 10 2017 Mathematical models of self-propelled particles. Zbl 1370.82034Bellomo, N.; Brezzi, F. 4 2017 Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics. Zbl 1414.91053Marsan, G. Ajmone; Bellomo, N.; Gibelli, L. 44 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. 38 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. 10 2016 Macroscopic first order models of multicomponent human crowds with behavioral dynamics. Zbl 1356.91079Bellomo, 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 1326.35397Bellomo, N.; Bellouquid, A.; Tao, Y.; Winkler, M. 459 2015 Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042Bellomo, Nicola; Gibelli, Livio 40 2015 On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029Bellomo, Nicola; Bellouquid, Abdelghani 25 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 19 2015 Traffic, crowds, and dynamics of self-organized particles: new trends and challenges. Zbl 1308.92110Bellomo, Nicola; Brezzi, Franco 5 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. 8 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. 67 2013 On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea 41 2013 From the microscale to collective crowd dynamics. Zbl 1280.90019Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian 40 2013 Complex systems and society. Modeling and simulation. Zbl 1328.00108Ajmone Marsan, Giulia; Bellomo, Nicola; Tosin, Andrea 22 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. 2 2013 On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065Bellomo, N.; Soler, J. 71 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. 51 2012 Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea 42 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. 15 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 100 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 On the modeling of crowd dynamics: an overview and research perspectives. Zbl 1242.90053Bellomo, Nicola; Bianca, Carlo; Coscia, Vincenzo 6 2011 On the modeling of collective learning dynamics. Zbl 1233.92002De Lillo, S.; Bellomo, N. 6 2011 Towards a mathematical theory of complex biological systems. Zbl 1286.92003Bianca, Carlo; Bellomo, Nicola 4 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 86 2010 Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J. 26 2010 Mathematics and complexity in life and human sciences. Zbl 1218.92001Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 16 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. 2 2009 On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014Bellomo, N.; Li, N. K.; Maini, P. K. 189 2008 On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036Bellomo, Nicola; Dogbé, Christian 58 2008 Modeling complex living systems. A kinetic theory and stochastic game approach. Zbl 1140.91007Bellomo, Nicola 58 2008 Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo 29 2008 Traffic, crowds, and swarms. Zbl 1171.90361Bellomo, N.; Brezzi, F. 16 2008 Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015 13 2008 On the complexity of multiple interactions with additional reasonings about Kate, Jules and Jim. Zbl 1144.82339Bellomo, Nicola; Carbonaro, Bruno 5 2008 Generalized collocation methods. Solutions to nonlinear problems. Zbl 1135.65038Bellomo, 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 1134.92003Bellomo, 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. 59 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. 17 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 21 2005 Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029Bellomo, N.; Bellouquid, A.; Delitala, M. 67 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 31 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 10 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 Non-linear consolidation models of clay which change type. Zbl 1346.74131Battaglio, M.; Bellomo, N.; Bonzani, I.; Lancellotta, R. 6 2003 ...and 90 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,071 Authors 118 Bellomo, Nicola 71 Ha, Seung-Yeal 53 Winkler, Michael 33 Lachowicz, Mirosław 32 Tao, Youshan 29 Delitala, Marcello Edoardo 27 Zheng, Jiashan 24 Bonzani, Ida 22 Soler, Juan S. 21 Bellouquid, Abdelghani 21 Mu, Chunlai 20 Lankeit, Johannes 19 Elaiw, Ahmed M. 19 Toscani, Giuseppe 18 De Angelis, Elena 18 Piccoli, Benedetto 17 Brezzi, Franco 17 Surulescu, Christina 16 Bianca, Carlo 16 Herty, Michael Matthias 16 Knopoff, Damian A. 16 Park, Hansol 16 Ren, Guoqiang 15 Degond, Pierre 15 Wang, Liangchen 14 Perthame, Benoît 14 Shen, Wenxian 14 Wang, Zhian 14 Xiang, Zhaoyin 13 Black, Tobias 13 Xiang, Tian 13 Yokota, Tomomi 12 Klar, Axel 12 Mizukami, Masaaki 12 Pareschi, Lorenzo 12 Preziosi, Luigi 11 Chaplain, Mark A. J. 11 Jin, Hai-Yang 11 Kim, Doheon 11 Monaco, Roberto 10 Bertotti, Maria Letizia 10 Carrillo de la Plata, José Antonio 10 Cui, Shangbin 10 Dolfin, Marina 10 Fuest, Mario 10 Gibelli, Livio 10 Kim, Jeongho 10 Lin, Ke 10 Salako, Rachidi Bolaji 10 Viglialoro, Giuseppe 10 Wang, Yifu 10 Wang, Yulan 10 Zheng, Pan 9 Adomian, George 9 Alshamrani, Noura H. 9 Borsche, Raul 9 Cattani, Carlo 9 Coscia, Vincenzo 9 Kang, Myeongju 9 Kim, Dohyun 9 Liu, Zuhan 9 Lo Schiavo, Mauro 9 Nieto, Juanjo 9 Oden, John Tinsley 9 Tosin, Andrea 8 Arlotti, Luisa 8 Bae, Hyeong-Ohk 8 Dimarco, Giacomo 8 Dogbé, Christian 8 Fermo, Luisa 8 Fujie, Kentarou 8 Kolev, Mikhail K. 8 Lowengrub, John Samuel 8 Riganti, Riccardo 8 Shim, Woojoo 8 Zhang, Xianwen 8 Zhang, Xiongtao 7 Bertozzi, Andrea Louise 7 Carbonaro, Bruno 7 D’Acunto, Berardino 7 Dai, Feng 7 Dong, Jiu-Gang 7 d’Onofrio, Alberto 7 Duan, Junsheng 7 Duan, Renjun 7 Eftimie, Raluca 7 Göttlich, Simone 7 Guo, Qian 7 Herrero, Miguel Ángel 7 Jiang, Jie 7 Jin, Shi 7 Ko, Dongnam 7 López, Álvaro G. 7 Mussone, Lorenzo 7 Pan, Xu 7 Pinasco, Juan Pablo 7 Ridolfi, Luca 7 Rossi, Francesco 7 Saintier, Nicolas 7 Sanjuán, Miguel A. F. ...and 1,971 more Authors all top 5 Cited in 255 Serials 307 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 132 Mathematical and Computer Modelling 91 Journal of Differential Equations 76 Journal of Mathematical Analysis and Applications 69 Computers & Mathematics with Applications 49 Applied Mathematics and Computation 46 Nonlinear Analysis. Real World Applications 43 Applied Mathematics Letters 41 Discrete and Continuous Dynamical Systems. Series B 36 ZAMP. Zeitschrift für angewandte Mathematik und Physik 34 Journal of Statistical Physics 34 Journal of Theoretical Biology 26 Discrete and Continuous Dynamical Systems 24 Transport Theory and Statistical Physics 23 Kinetic and Related Models 22 Networks and Heterogeneous Media 21 Journal of Mathematical Biology 21 Bulletin of Mathematical Biology 19 Journal of Mathematical Physics 19 SIAM Journal on Mathematical Analysis 18 Applied Mathematical Modelling 17 SIAM Journal on Applied Mathematics 17 Mathematical Biosciences and Engineering 17 Discrete and Continuous Dynamical Systems. Series S 16 Physica A 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 15 Nonlinearity 15 Acta Applicandae Mathematicae 14 Mathematical Methods in the Applied Sciences 13 Archive for Rational Mechanics and Analysis 13 Mathematical Biosciences 13 Mathematics and Computers in Simulation 13 Physica D 12 Journal of Computational and Applied Mathematics 12 Calculus of Variations and Partial Differential Equations 12 International Journal of Biomathematics 11 Chaos, Solitons and Fractals 11 Communications on Pure and Applied Analysis 9 Quarterly of Applied Mathematics 9 Journal of Nonlinear Science 8 Applicable Analysis 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 NoDEA. Nonlinear Differential Equations and Applications 8 Communications in Nonlinear Science and Numerical Simulation 8 Computational & Mathematical Methods in Medicine 7 Meccanica 7 SIAM Journal on Control and Optimization 7 Communications in Partial Differential Equations 7 Journal of Dynamics and Differential Equations 7 Computational and Applied Mathematics 7 Abstract and Applied Analysis 7 Communications in Applied and Industrial Mathematics 6 Computer Methods in Applied Mechanics and Engineering 6 Journal of Computational Physics 6 SIAM Journal on Applied Dynamical Systems 6 Mathematical Modelling of Natural Phenomena 5 Continuum Mechanics and Thermodynamics 5 Advances in Difference Equations 4 Communications in Mathematical Physics 4 Journal of Engineering Mathematics 4 Applied Mathematics and Optimization 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Applied Numerical Mathematics 4 Numerical Methods for Partial Differential Equations 4 Journal of Scientific Computing 4 Japan Journal of Industrial and Applied Mathematics 4 Journal of Mathematical Sciences (New York) 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Journal of Biological Systems 4 Journal of Evolution Equations 4 Multiscale Modeling & Simulation 4 Boundary Value Problems 4 Asian-European Journal of Mathematics 4 AIMS Mathematics 4 Electronic Research Archive 3 Acta Mechanica 3 Computers and Fluids 3 International Journal of Engineering Science 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 International Journal for Numerical Methods in Engineering 3 Kybernetes 3 SIAM Journal on Numerical Analysis 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Mathematical Problems in Engineering 3 Mathematical Population Studies 3 Mathematics and Mechanics of Solids 3 Chaos 3 Discrete Dynamics in Nature and Society 3 Journal of Mathematical Fluid Mechanics 3 Archives of Computational Methods in Engineering 3 Journal of Applied Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Nonlinear Analysis. Hybrid Systems 2 International Journal of Theoretical Physics 2 Funkcialaj Ekvacioj. Serio Internacia 2 Proceedings of the American Mathematical Society 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Rendiconti del Seminario Matematico della Università di Padova 2 Results in Mathematics 2 Theoretical Population Biology ...and 155 more Serials all top 5 Cited in 47 Fields 1,055 Partial differential equations (35-XX) 1,054 Biology and other natural sciences (92-XX) 284 Statistical mechanics, structure of matter (82-XX) 260 Numerical analysis (65-XX) 226 Fluid mechanics (76-XX) 194 Ordinary differential equations (34-XX) 155 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 153 Operations research, mathematical programming (90-XX) 129 Probability theory and stochastic processes (60-XX) 92 Integral equations (45-XX) 85 Dynamical systems and ergodic theory (37-XX) 63 Calculus of variations and optimal control; optimization (49-XX) 59 Systems theory; control (93-XX) 51 Mechanics of deformable solids (74-XX) 37 Mechanics of particles and systems (70-XX) 22 Computer science (68-XX) 19 Operator theory (47-XX) 19 Statistics (62-XX) 16 Classical thermodynamics, heat transfer (80-XX) 15 General and overarching topics; collections (00-XX) 8 Real functions (26-XX) 8 Difference and functional equations (39-XX) 8 Information and communication theory, circuits (94-XX) 7 Combinatorics (05-XX) 7 Global analysis, analysis on manifolds (58-XX) 6 Differential geometry (53-XX) 6 Optics, electromagnetic theory (78-XX) 6 Quantum theory (81-XX) 6 Geophysics (86-XX) 5 Functional analysis (46-XX) 4 Topological groups, Lie groups (22-XX) 4 Measure and integration (28-XX) 4 Manifolds and cell complexes (57-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Functions of a complex variable (30-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