## Bellomo, Nicola

Compute Distance To:
 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: 209 Publications since 1969, including 14 Books 19 Contributions as Editor · 1 Further Contribution Co-Authors: 138 Co-Authors with 210 Joint Publications 3,477 Co-Co-Authors
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### Co-Authors

 14 single-authored 23 Bellouquid, Abdelghani 19 Brezzi, Franco 14 Soler, Juan S. 13 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 Outada, Nisrine 7 Winkler, Michael 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 Loiodice, Rocco 4 Vacca, Maria Teresa 3 Aylaj, Bouchra 3 Bianca, Carlo 3 Burini, Diletta 3 Carbonaro, Bruno 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 Bertacca, Daniele 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 Matarrese, Sabino 2 Nadal, Jean-Pierre 2 Palczewski, Andrzej 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 1 Flandoli, Franco ...and 78 more Co-Authors
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### Serials

 50 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 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
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### Fields

 91 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) 36 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 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) 2 Relativity and gravitational theory (83-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Statistics (62-XX) 1 Mathematics education (97-XX)

### Citations contained in zbMATH Open

195 Publications have been cited 3,891 times in 1,989 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.
2015
On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014
Bellomo, N.; Li, N. K.; Maini, P. K.
2008
On the modeling of traffic and crowds: a survey of models, speculations, and perspectives. Zbl 1231.90123
Bellomo, Nicola; Dogbe, Christian
2011
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan
2010
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.
2019
Modelling and mathematical problems related to tumor evolution and its interaction with the immune system. Zbl 0997.92020
Bellomo, N.; Preziosi, L.
2000
On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065
Bellomo, N.; Soler, J.
2012
On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137
Bellomo, N.; Knopoff, D.; Soler, J.
2013
Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029
Bellomo, N.; Bellouquid, A.; Delitala, M.
2004
A survey of models for tumor-immune system dynamics. Zbl 0874.92020
1997
Generalized kinetic (Boltzmann) models: mathematical structures and applications. Zbl 1174.82325
Arlotti, L.; Bellomo, N.; De Angelis, E.
2002
Modeling complex living systems. A kinetic theory and stochastic game approach. Zbl 1140.91007
Bellomo, Nicola
2008
Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
2007
On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036
Bellomo, Nicola; Dogbé, Christian
2008
Dynamics of tumor interaction with the host immune system. Zbl 0811.92014
Bellomo, N.; Forni, G.
1994
On the mathematical theory of vehicular traffic flow. I: Fluid dynamic and kinetic modelling. Zbl 1041.76061
Bellomo, N.; Delitala, M.; Coscia, V.
2002
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.
2012
On the Cauchy problem for the nonlinear Boltzmann equation global existence uniqueness and asymptotic stability. Zbl 0561.35074
Bellomo, N.; Toscani, G.
1985
Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics. Zbl 1414.91053
Marsan, G. Ajmone; Bellomo, N.; Gibelli, L.
2016
Mathematical topics in nonlinear kinetic theory. Zbl 0702.76005
Bellomo, Nicola; Palczewski, Andrzej; Toscani, Giuseppe
1988
A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166
Bellomo, Nicola; Winkler, Michael
2017
From the microscale to collective crowd dynamics. Zbl 1280.90019
Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian
2013
Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042
Bellomo, Nicola; Gibelli, Livio
2015
Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192
Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea
2012
A quest toward a mathematical theory of the dynamics of swarms. Zbl 1366.82077
Bellomo, Nicola; Ha, Seung-Yeal
2017
Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044
Bellomo, Nicola; Winkler, Michael
2017
Modelling mathematical methods and scientific computation. Zbl 0871.65001
Bellomo, Nicola; Preziosi, Luigi
1995
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.
2016
On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028
Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea
2013
Strategies of applied mathematics towards an immuno-mathematical theory on tumors and immune system interactions. Zbl 0947.92014
Bellomo, N.; De Angelis, E.
1998
A comparison between Adomian’s decomposition methods and perturbation techniques for nonlinear random differential equations. Zbl 0575.60064
Bellomo, Nicola; Monaco, Roberto
1985
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
2020
Nonlinear models and problems in applied sciences from differential quadrature to generalized collocation methods. Zbl 0898.65074
Bellomo, N.
1997
Nonlinear stochastic systems in physics and mechanics. Zbl 0623.60084
Bellomo, Nicola; Riganti, Riccardo
1987
On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384
Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine
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
2019
Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems. Zbl 1093.92002
Bellomo, Nicola; Forni, Guido
2006
Multiscale modeling and mathematical problems related to tumor evolution and medical therapy. Zbl 1107.92020
Bellomo, Nicola; De Angelis, Elena; Preziosi, Luigi
2003
Bifurcation analysis for a nonlinear system of integro-differential equations modelling tumor-immune cells competition. Zbl 0932.92016
Bellomo, N.; Firmani, B.; Guerri, L.
1999
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
2006
From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Zbl 1044.92021
Bellomo, N.; Bellouquid, A.
2004
Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357
Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo
2008
On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029
Bellomo, Nicola; Bellouquid, Abdelghani
2015
From the Jager and Segel model to kinetic population dynamics nonlinear evolution problems and applications. Zbl 1043.92518
Arlotti, L.; Bellomo, N.; Latrach, K.
1999
From the modelling of driver’s behavior to hydrodynamic models and problems of traffic flow. Zbl 1005.90016
Bellomo, N.; Marasco, A.; Romano, A.
2002
Kinetic equations modelling population dynamics. Zbl 0946.92019
Arlotti, L.; Bellomo, N.; Lachowicz, M.
2000
Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
2010
Solution of a new class of nonlinear kinetic models of population dynamics. Zbl 0853.35050
Arlotti, L.; Bellomo, N.
1996
On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan
2014
A unified multiscale vision of behavioral crowds. Zbl 1434.91046
Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro
2020
Mathematical topics in nonlinear kinetic theory II. The Enskog equation. Zbl 0733.76061
Bellomo, N.; Lachowicz, M.; Polewczak, J.; Toscani, G.
1991
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.
1989
Complex systems and society. Modeling and simulation. Zbl 1328.00108
Ajmone Marsan, Giulia; Bellomo, Nicola; Tosin, Andrea
2013
On Adomian’s decomposition method and some comparisons with Picard’s iterative scheme. Zbl 0624.60079
Bellomo, N.; Sarafyan, D.
1987
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
2005
Solution of nonlinear initial-boundary value problems by sinc collocation-interpolation methods. Zbl 0822.65075
Bellomo, N.; Ridolfi, L.
1995
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.
2001
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.
2003
On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052
Bellomo, Nicola; Bellouquid, Abdelghani
2011
Population dynamics with stochastic interaction. Zbl 0838.92018
Arlotti, L.; Bellomo, N.
1995
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
2020
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
2015
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
2010
Crowd dynamics on a moving platform: mathematical modelling and application to lively footbridges. Zbl 1198.74031
Venuti, Fiammetta; Bruno, Luca; Bellomo, Nicola
2007
A quest towards a mathematical theory of living systems. Zbl 1381.92001
Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine
2017
On the initial value problem for the Boltzmann equation with a force term. Zbl 0699.35237
Bellomo, N.; Lachowicz, M.; Palczewski, A.; Toscani, G.
1989
Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045
2017
From microscopic to macroscopic description of multicellular systems and biological growing tissues. Zbl 1121.92025
Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A.
2007
Nonlinear stochastic evolution problems in applied sciences. Zbl 0770.60061
Bellomo, N.; Brzezniak, Z.; de Socio, L. M.
1992
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.
1987
Traffic, crowds, and swarms. Zbl 1171.90361
Bellomo, N.; Brezzi, F.
2008
Behavioral crowds: modeling and Monte Carlo simulations toward validation. Zbl 1390.65030
Bellomo, N.; Gibelli, L.
2016
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.
2012
From the Boltzmann equation to generalized kinetic models in applied sciences. Zbl 0897.76082
Bellomo, N.; Lo Schiavo, M.
1997
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.
1991
Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015
2008
Lecture notes on the mathematical theory of generalized Boltzmann models. Zbl 0983.82012
Bellomo, Nicola; Lo Schiavo, Mauro
2000
Modeling the hiding-learning dynamics in large living systems. Zbl 1198.37117
Bellomo, N.
2010
The discrete Boltzmann equation with multiple collisions: Global existence and stability for the initial value problem. Zbl 0706.76084
Bellomo, N.; Kawashima, S.
1990
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.
1986
Generalized kinetic models in applied sciences. Lecture notes on mathematical problem. Zbl 1073.82001
Arlotti, Luisa; Bellomo, Nicola; De Angelis, Elena; Lachowicz, Miroslaw
2003
On the mathematical theory of living systems. II: The interplay between mathematics and system biology. Zbl 1236.92005
Coscia, V.; Fermo, L.; Bellomo, N.
2011
Modelling tumor progression, heterogeneity, and immune competition. Zbl 1050.92026
Ambrosi, D.; Bellomo, N.; Preziosi, L.
2002
Random heat equation: Solutions by the stochastic adaptive interpolation method. Zbl 0661.60082
Bellomo, N.; de Socio, L. M.; Monaco, R.
1988
Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049
Bellomo, N.; Maini, P. K.
2007
Modeling behavioral social systems. Zbl 1355.00017
2017
Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024
Bellomo, N.; Brezzi, F.
2016
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
2021
On the asymptotic equivalence between the Enskog and the Boltzmann equations. Zbl 1086.82539
Bellomo, N.; Lachowicz, M.
1988
The semicontinuous Boltzmann equation: Towards a model for fluid dynamic applications. Zbl 0770.76057
Longo, E.; Preziosi, L.; Bellomo, N.
1993
Time-evolution of the probability density under the action of a deterministic dynamical system. Zbl 0475.70019
Bellomo, N.; Pistone, G.
1980
Mathematics and complexity in human and life sciences. Zbl 1175.00022
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
2009
Modeling chemotaxis from $$L^2$$-closure moments in kinetic theory of active particles. Zbl 1280.35160
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan
2013
Towards a mathematical theory of behavioral swarms. Zbl 1459.82166
Bellomo, Nicola; Ha, Seung-Yeal; Outada, Nisrine
2020
On the mathematical modelling of physical systems by ordinary differential stochastic equations. Zbl 0547.60060
Bellomo, N.; Cafaro, E.; Rizzi, G.
1984
Nonlinear kinetic equations with dissipative collisions. Zbl 0835.76091
Bellomo, Nicola; Esteban, Maria Jesus; Lachowicz, Mirosław
1995
Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317
Bellomo, N.; Brezzi, F.; Manzini, G.
2014
Mathematics and complexity of multi-particle systems. Zbl 1242.92003
Bellomo, N.; Brezzi, F.
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 1184.93071
Bellomo, N.; Bellouquid, A.
2009
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.
2007
Chemotaxis and cross-diffusion models in complex environments: models and analytic problems toward a multiscale vision. Zbl 07544554
Bellomo, N.; Outada, N.; Soler, J.; Tao, Y.; Winkler, M.
2022
Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042
Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro
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
2021
Crowd dynamics by kinetic theory modeling. Complexity, modeling, simulations, and safety. Zbl 1457.91002
Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Knopoff, Damián
2021
Collective dynamics in science and society. Zbl 1485.35357
Bellomo, N.; Brezzi, F.
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.
2021
Recent results and perspectives for virtual element methods. Zbl 1478.65112
Beirão da Veiga, L.; Bellomo, N.; Brezzi, F.; Marini, L. D.
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
2020
A unified multiscale vision of behavioral crowds. Zbl 1434.91046
Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro
2020
Stabilization in a chemotaxis model for virus infection. Zbl 1439.35052
Bellomo, Nicola; Tao, Youshan
2020
Towards a mathematical theory of behavioral swarms. Zbl 1459.82166
Bellomo, Nicola; Ha, Seung-Yeal; Outada, Nisrine
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
2020
Chemotaxis systems in complex frameworks: pattern formation, qualitative analysis and blowup prevention. Zbl 1451.92062
Bellomo, N.; Tao, Y.; Winkler, M.
2020
Active particles methods and challenges in behavioral systems. Zbl 1454.35392
Bellomo, N.; Brezzi, F.; Soler, J.
2020
Recent results and challenges in behavioral systems. Zbl 07291075
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
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.
2019
On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384
Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine
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
2019
Active particles, Volume 2. Advances in theory, models, and applications. Zbl 1427.74004
2019
From primordial black holes abundance to primordial curvature power spectrum (and back). Zbl 07501503
Kalaja, Alba; Bellomo, Nicola; Bartolo, Nicola; Bertacca, Daniele; Matarrese, Sabino; Musco, Ilia; Raccanelli, Alvise; Verde, Licia
2019
Challenges in active particles methods: theory and applications. Zbl 1411.35149
Bellomo, N.; Brezzi, F.
2018
Cross-diffusion models: analytic and multiscale problems. Zbl 1408.35078
Bellomo, N.; Tao, Y.; Winkler, M.
2018
Crowd dynamics, Volume 1. Theory, models, and safety problems. Zbl 1410.92004
2018
A degenerate chemotaxis system with flux limitation: maximally extended solutions and absence of gradient blow-up. Zbl 1430.35166
Bellomo, Nicola; Winkler, Michael
2017
A quest toward a mathematical theory of the dynamics of swarms. Zbl 1366.82077
Bellomo, Nicola; Ha, Seung-Yeal
2017
Finite-time blow-up in a degenerate chemotaxis system with flux limitation. Zbl 1367.35044
Bellomo, Nicola; Winkler, Michael
2017
A quest towards a mathematical theory of living systems. Zbl 1381.92001
Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine
2017
Active particles, Volume 1. Advances in theory, models, and applications. Zbl 1368.00045
2017
Modeling behavioral social systems. Zbl 1355.00017
2017
Mathematical models of self-propelled particles. Zbl 1370.82034
Bellomo, N.; Brezzi, F.
2017
Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics. Zbl 1414.91053
Marsan, G. Ajmone; Bellomo, N.; Gibelli, L.
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.
2016
Behavioral crowds: modeling and Monte Carlo simulations toward validation. Zbl 1390.65030
Bellomo, N.; Gibelli, L.
2016
Mathematics, complexity and multiscale features of large systems of self-propelled particles. Zbl 1398.92024
Bellomo, N.; Brezzi, F.
2016
Macroscopic first order models of multicomponent human crowds with behavioral dynamics. Zbl 1356.91079
Bellomo, N.; Berrone, S.; Gibelli, L.; Pieri, A. B.
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.
2015
Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042
Bellomo, Nicola; Gibelli, Livio
2015
On multiscale models of Pedestrian crowds from mesoscopic to macroscopic. Zbl 1329.90029
Bellomo, Nicola; Bellouquid, Abdelghani
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
2015
Traffic, crowds, and dynamics of self-organized particles: new trends and challenges. Zbl 1308.92110
Bellomo, Nicola; Brezzi, Franco
2015
On the derivation of angiogenesis tissue models: from the micro-scale to the macro-scale. Zbl 1327.76175
Bellomo, Nicola; Bellouquid, Abdelghani
2015
On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics. Zbl 1302.35372
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juanjo; Soler, Juan
2014
Recent techniques for PDE discretizations on polyhedral meshes. Zbl 1291.65317
Bellomo, N.; Brezzi, F.; Manzini, G.
2014
Complex systems: new challenges with modeling headaches. Zbl 1280.00033
Bellomo, N.; Brezzi, Franco
2014
On the difficult interplay between life, “complexity”, and mathematical sciences. Zbl 1315.35137
Bellomo, N.; Knopoff, D.; Soler, J.
2013
From the microscale to collective crowd dynamics. Zbl 1280.90019
Bellomo, Nicola; Bellouquid, Abdelghani; Knopoff, Damian
2013
On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028
Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea
2013
Complex systems and society. Modeling and simulation. Zbl 1328.00108
Ajmone Marsan, Giulia; Bellomo, Nicola; Tosin, Andrea
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
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
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.
2013
On the mathematical theory of the dynamics of swarms viewed as complex systems. Zbl 1242.92065
Bellomo, N.; Soler, J.
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.
2012
Modeling crowd dynamics from a complex system viewpoint. Zbl 1252.35192
Bellomo, Nicola; Piccoli, Benedetto; Tosin, Andrea
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.
2012
Mathematics and complexity of multi-particle systems. Zbl 1242.92003
Bellomo, N.; Brezzi, F.
2012
Global solution to the Cauchy problem for discrete velocity models of vehicular traffic. Zbl 1230.35056
Bellomo, N.; Bellouquid, A.
2012
On the modeling of traffic and crowds: a survey of models, speculations, and perspectives. Zbl 1231.90123
Bellomo, Nicola; Dogbe, Christian
2011
On the modeling of crowd dynamics: looking at the beautiful shapes of swarms. Zbl 1260.90052
Bellomo, Nicola; Bellouquid, Abdelghani
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.
2011
Mathematics and complexity in biological sciences. Zbl 1328.00110
Bellomo, N.; Brezzi, F.
2011
On the modeling of collective learning dynamics. Zbl 1233.92002
De Lillo, S.; Bellomo, N.
2011
On the modeling of crowd dynamics: an overview and research perspectives. Zbl 1242.90053
Bellomo, Nicola; Bianca, Carlo; Coscia, Vincenzo
2011
Towards a mathematical theory of complex biological systems. Zbl 1286.92003
Bianca, Carlo; Bellomo, Nicola
2011
Continuum thermodynamics and nonlinear partial differential equations. Zbl 1213.80002
Bellomo, N.; Málek, J.
2011
Multiscale biological tissue models and flux-limited chemotaxis for multicellular growing systems. Zbl 1402.92065
Bellomo, Nicola; Bellouquid, Abdelghani; Nieto, Juan; Soler, Juan
2010
Complexity and mathematical tools toward the modelling of multicellular growing systems. Zbl 1190.92001
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
2010
Mathematics and complexity in life and human sciences. Zbl 1218.92001
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
2010
Modeling the hiding-learning dynamics in large living systems. Zbl 1198.37117
Bellomo, N.
2010
On the modeling of nonlinear interactions in large complex systems. Zbl 1197.92002
Bellomo, N.; Bianca, C.; Mongiovì, M. S.
2010
On the modelling of vehicular traffic and crowds by kinetic theory of active particles. Zbl 1211.91210
Bellomo, Nicola; Bellouquid, Abdelghani
2010
Mathematics and complexity in human and life sciences. Zbl 1175.00022
Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P.
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.
2009
On the coupling of higher and lower scales using the mathematical kinetic theory of active particles. Zbl 1162.92013
Bellomo, N.; Delitala, M.
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
2009
On the derivation of macroscopic hyperbolic equations for binary multicellular growing mixtures. Zbl 1186.35131
Bellomo, N.; Bellouquid, A.
2009
On the foundations of cancer modelling: selected topics, speculations, and perspectives. Zbl 1151.92014
Bellomo, N.; Li, N. K.; Maini, P. K.
2008
Modeling complex living systems. A kinetic theory and stochastic game approach. Zbl 1140.91007
Bellomo, Nicola
2008
On the modelling crowd dynamics from scaling to hyperbolic macroscopic models. Zbl 1198.92036
Bellomo, Nicola; Dogbé, Christian
2008
Towards a mathematical theory of complex socio-economical systems by functional subsystems representation. Zbl 1141.82357
Ajmone Marsan, Giulia; Bellomo, Nicola; Egidi, Massimo
2008
Traffic, crowds, and swarms. Zbl 1171.90361
Bellomo, N.; Brezzi, F.
2008
Selected topics in cancer modeling. Genesis, evolution, immune competition, and therapy. Zbl 1149.92015
2008
On the complexity of multiple interactions with additional reasonings about Kate, Jules and Jim. Zbl 1144.82339
Bellomo, Nicola; Carbonaro, Bruno
2008
Generalized collocation methods. Solutions to nonlinear problems. Zbl 1135.65038
Bellomo, Nicola; Lods, Bertrand; Revelli, Roberto; Ridolfi, Luca
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.
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.
2008
Multicellular biological growing systems: hyperbolic limits towards macroscopic description. Zbl 1135.92009
Bellomo, N.; Bellouquid, A.; Nieto, J.; Soler, J.
2007
Crowd dynamics on a moving platform: mathematical modelling and application to lively footbridges. Zbl 1198.74031
Venuti, Fiammetta; Bruno, Luca; Bellomo, Nicola
2007
From microscopic to macroscopic description of multicellular systems and biological growing tissues. Zbl 1121.92025
Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A.
2007
Preface: Challenging mathematical problems in cancer modelling. Zbl 1210.00049
Bellomo, N.; Maini, P. K.
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.
2007
Looking for new paradigms towards a biological-mathematical theory of complex multicellular systems. Zbl 1093.92002
Bellomo, Nicola; Forni, Guido
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
2006
On the modelling of complex sociopsychological systems with some reasoning about Kate, Jules, and Jim. Zbl 1200.91258
Bellomo, Nicola; Carbonaro, Bruno
2006
On the mathematical kinetic theory of active particles with discrete states: The derivation of macroscopic equations. Zbl 1130.92006
Bellomo, Nicola; Bellouquid, Abdelghani
2006
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
2005
Mathematical topics on the modelling complex multicellular systems and tumor immune cells competition. Zbl 1060.92029
Bellomo, N.; Bellouquid, A.; Delitala, M.
2004
From a class of kinetic models to the macroscopic equations for multicellular systems in biology. Zbl 1044.92021
Bellomo, N.; Bellouquid, A.
2004
From the mathematical kinetic theory to modelling complex systems in applied sciences. Zbl 1073.82034
Bellomo, Nicola
2004
...and 95 more Documents
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### Cited by 2,194 Authors

 121 Bellomo, Nicola 74 Ha, Seung-Yeal 55 Winkler, Michael 33 Lachowicz, Mirosław 33 Tao, Youshan 29 Delitala, Marcello Edoardo 29 Zheng, Jiashan 24 Bonzani, Ida 22 Soler, Juan S. 21 Bellouquid, Abdelghani 21 Mu, Chunlai 21 Piccoli, Benedetto 20 Elaiw, Ahmed M. 20 Lankeit, Johannes 20 Toscani, Giuseppe 19 Park, Hansol 18 De Angelis, Elena 18 Ren, Guoqiang 18 Surulescu, Christina 17 Brezzi, Franco 17 Knopoff, Damian A. 16 Bianca, Carlo 16 Herty, Michael Matthias 16 Wang, Liangchen 16 Yokota, Tomomi 15 Degond, Pierre 15 Pareschi, Lorenzo 15 Perthame, Benoît 15 Shen, Wenxian 15 Wang, Zhian 14 Mizukami, Masaaki 14 Xiang, Zhaoyin 13 Black, Tobias 13 Xiang, Tian 12 Chaplain, Mark A. J. 12 Jin, Haiyang 12 Kim, Doheon 12 Klar, Axel 12 Preziosi, Luigi 12 Zheng, Pan 11 Gibelli, Livio 11 Monaco, Roberto 11 Viglialoro, Giuseppe 10 Bertotti, Maria Letizia 10 Carrillo de la Plata, José Antonio 10 Cui, Shangbin 10 Dimarco, Giacomo 10 Dolfin, Marina 10 Fuest, Mario 10 Kim, Jeongho 10 Lin, Ke 10 Salako, Rachidi Bolaji 10 Wang, Yifu 10 Wang, Yulan 9 Adomian, George 9 Alshamrani, Noura H. 9 Bae, Hyeong-Ohk 9 Borsche, Raul 9 Cattani, Carlo 9 Coscia, Vincenzo 9 Dai, Feng 9 Fujie, Kentaro 9 Kang, Myeongju 9 Kim, Dohyun 9 Liu, Zuhan 9 Lo Schiavo, Mauro 9 Nieto, Juanjo 9 Oden, John Tinsley 9 Tosin, Andrea 8 Albi, Giacomo 8 Arlotti, Luisa 8 Dogbé, Christian 8 Fermo, Luisa 8 Jin, Shi 8 Ko, Dongnam 8 Kolev, Mikhail K. 8 Lowengrub, John Samuel 8 Pinasco, Juan Pablo 8 Riganti, Riccardo 8 Rossi, Francesco 8 Saintier, Nicolas 8 Shim, Woojoo 8 Trélat, Emmanuel 8 Yun, Seok-Bae 8 Zhang, Xianwen 8 Zhang, Xiongtao 7 Ahn, Hyunjin 7 Bertozzi, Andrea Louise 7 Burini, Diletta 7 Carbonaro, Bruno 7 Choi, Young-Pil 7 D’Acunto, Berardino 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 ...and 2,094 more Authors
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### Cited in 258 Serials

 312 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 132 Mathematical and Computer Modelling 93 Journal of Differential Equations 80 Journal of Mathematical Analysis and Applications 69 Computers & Mathematics with Applications 55 Discrete and Continuous Dynamical Systems. Series B 51 Applied Mathematics and Computation 47 Nonlinear Analysis. Real World Applications 44 Applied Mathematics Letters 39 ZAMP. Zeitschrift für angewandte Mathematik und Physik 35 Journal of Statistical Physics 34 Journal of Theoretical Biology 28 Networks and Heterogeneous Media 26 Discrete and Continuous Dynamical Systems 25 Kinetic and Related Models 24 Transport Theory and Statistical Physics 24 Bulletin of Mathematical Biology 23 Physica A 21 Journal of Mathematical Biology 21 SIAM Journal on Mathematical Analysis 20 Discrete and Continuous Dynamical Systems. Series S 19 Journal of Mathematical Physics 18 Applied Mathematical Modelling 18 Mathematical Biosciences and Engineering 17 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 17 SIAM Journal on Applied Mathematics 16 Acta Applicandae Mathematicae 15 Nonlinearity 14 Mathematical Methods in the Applied Sciences 14 Calculus of Variations and Partial Differential Equations 13 Archive for Rational Mechanics and Analysis 13 Mathematical Biosciences 13 Journal of Computational and Applied Mathematics 13 Mathematics and Computers in Simulation 13 Physica D 13 Communications on Pure and Applied Analysis 12 International Journal of Biomathematics 11 Chaos, Solitons and Fractals 11 Journal of Nonlinear Science 9 Applicable Analysis 9 Computer Methods in Applied Mechanics and Engineering 9 Quarterly of Applied Mathematics 9 Communications in Nonlinear Science and Numerical Simulation 8 Journal of Computational Physics 8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 NoDEA. Nonlinear Differential Equations and Applications 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 SIAM Journal on Applied Dynamical Systems 6 Mathematical Modelling of Natural Phenomena 5 Applied Numerical Mathematics 5 Continuum Mechanics and Thermodynamics 5 Multiscale Modeling & Simulation 5 Advances in Difference Equations 5 Boundary Value Problems 5 AIMS Mathematics 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 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 Mathematics and Mechanics of Solids 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 Acta Mathematica Scientia. Series B. (English Edition) 4 Asian-European Journal of 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 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Electronic Journal of Differential Equations (EJDE) 3 Mathematical Problems in Engineering 3 Mathematical Population Studies 3 Chaos 3 Discrete Dynamics in Nature and Society 3 Journal of Mathematical Fluid Mechanics 3 Acta Mathematica Sinica. English Series 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 3 Advances in Nonlinear Analysis 3 International Journal of Applied and Computational Mathematics 2 International Journal of Theoretical Physics ...and 158 more Serials
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### Cited in 48 Fields

 1,128 Biology and other natural sciences (92-XX) 1,120 Partial differential equations (35-XX) 300 Statistical mechanics, structure of matter (82-XX) 270 Numerical analysis (65-XX) 232 Fluid mechanics (76-XX) 199 Ordinary differential equations (34-XX) 171 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 156 Operations research, mathematical programming (90-XX) 132 Probability theory and stochastic processes (60-XX) 93 Integral equations (45-XX) 83 Dynamical systems and ergodic theory (37-XX) 65 Calculus of variations and optimal control; optimization (49-XX) 63 Systems theory; control (93-XX) 53 Mechanics of deformable solids (74-XX) 38 Mechanics of particles and systems (70-XX) 22 Computer science (68-XX) 20 Operator theory (47-XX) 20 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 Global analysis, analysis on manifolds (58-XX) 8 Information and communication theory, circuits (94-XX) 7 Combinatorics (05-XX) 7 Quantum theory (81-XX) 6 Optics, electromagnetic theory (78-XX) 6 Geophysics (86-XX) 4 Measure and integration (28-XX) 4 Functional analysis (46-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Differential geometry (53-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX)