Edit Profile (opens in new tab) Gibelli, Livio Co-Author Distance Author ID: gibelli.livio Published as: Gibelli, Livio; Gibelli, L. External Links: ResearchGate Documents Indexed: 32 Publications since 2003, including 2 Books 3 Contributions as Editor Co-Authors: 35 Co-Authors with 29 Joint Publications 773 Co-Co-Authors all top 5 Co-Authors 3 single-authored 12 Bellomo, Nicola 7 Frezzotti, Aldo 4 Ghiroldi, Gian Pietro 3 Outada, Nisrine 2 Aylaj, Bouchra 2 Borg, Matthew K. 2 Knopoff, Damian A. 2 Li, Jun 2 Reali, Alessandro 2 Shizgal, Bernie D. 1 Althiabi, A. M. 1 Barbante, Paolo Francesco 1 Bellouquid, Abdelghani 1 Berrone, Stefano 1 Burini, Diletta 1 Busuioc, Sergiu 1 Chen, Yichong 1 Corral-Casas, Carlos 1 Dosi, Giovanni 1 Elaiw, Ahmed M. 1 Emerson, David R. 1 Franzelli, Benedetta 1 Lockerby, Duncan A. 1 Longshaw, S. M. 1 Lorenzani, Silvia 1 Marsan, G. Ajmone 1 Pieri, Alexandre B. 1 Quaini, Annalisa 1 Shan, Baochao 1 Su, Wei 1 Terna, Pietro 1 Turzi, Stefano S. 1 Virgillito, Maria Enrica 1 Yau, A. W. 1 Zhang, Yonghao all top 5 Serials 7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 5 Journal of Fluid Mechanics 4 Modeling and Simulation in Science, Engineering and Technology 3 Computers and Fluids 3 Journal of Computational Physics 3 Physics of Fluids 2 Kinetic and Related Models 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 SIAM Journal on Applied Mathematics 1 Continuum Mechanics and Thermodynamics 1 Communications in Computational Physics 1 Synthesis Lectures on Mathematics & Statistics all top 5 Fields 18 Fluid mechanics (76-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Statistical mechanics, structure of matter (82-XX) 8 Partial differential equations (35-XX) 8 Numerical analysis (65-XX) 8 Biology and other natural sciences (92-XX) 4 General and overarching topics; collections (00-XX) 4 Operations research, mathematical programming (90-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Optics, electromagnetic theory (78-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 28 Publications have been cited 439 times in 261 Documents Cited by ▼ Year ▼ Stochastic evolutionary differential games toward a systems theory of behavioral social dynamics. Zbl 1414.91053 Marsan, G. Ajmone; Bellomo, N.; Gibelli, L. 55 2016 Toward a mathematical theory of behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042 Bellomo, Nicola; Gibelli, Livio 51 2015 On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384 Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine 46 2019 Heterogeneous population dynamics of active particles: progression, mutations, and selection dynamics. Zbl 1366.82078 Gibelli, L.; Ełaiw, A.; Alghamdi, M. A.; Althiabi, A. M. 35 2017 A unified multiscale vision of behavioral crowds. Zbl 1434.91046 Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro 31 2020 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 A quest towards a mathematical theory of living systems. Zbl 1381.92001 Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine 25 2017 Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042 Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro 23 2022 Mean field kinetic theory description of evaporation of a fluid into vacuum. Zbl 1187.76165 Frezzotti, Aldo; Gibelli, Livio; Lorenzani, Silvia 22 2005 Behavioral crowds: modeling and Monte Carlo simulations toward validation. Zbl 1390.65030 Bellomo, N.; Gibelli, L. 17 2016 A kinetic theory description of liquid menisci at the microscale. Zbl 1362.82044 Barbante, Paolo; Frezzotti, Aldo; Gibelli, Livio 16 2015 Solving the Boltzmann equation on GPUs. Zbl 1308.65009 Frezzotti, A.; Ghiroldi, G. P.; Gibelli, L. 14 2011 A direct method for the Boltzmann equation based on a pseudo-spectral velocity space discretization. Zbl 1349.76207 Ghiroldi, G. P.; Gibelli, L. 12 2014 Velocity slip coefficients based on the hard-sphere Boltzmann equation. Zbl 1309.76179 Gibelli, Livio 12 2012 Solving model kinetic equations on GPUs. Zbl 1271.76301 Frezzotti, A.; Ghiroldi, G. P.; Gibelli, L. 9 2011 A moment method for low speed microflows. Zbl 1184.76837 Frezzotti, Aldo; Gibelli, Livio; Franzelli, Benedetta 8 2009 Spectral convergence of the Hermite basis function solution of the Vlasov equation: the free-streaming term. Zbl 1189.76406 Gibelli, Livio; Shizgal, Bernie D. 7 2006 A kinetic theory approach for modelling tumour and macrophages heterogeneity and plasticity during cancer progression. Zbl 1453.92072 Eftimie, R.; Gibelli, L. 7 2020 A finite-difference lattice Boltzmann approach for gas microflows. Zbl 1373.76240 Ghiroldi, G. P.; Gibelli, L. 6 2015 Crowd dynamics, Volume 1. Theory, models, and safety problems. Zbl 1410.92004 5 2018 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 Crowd Dynamics, Volume 2. Theory, models, and applications. Zbl 1468.90003 2 2020 Ion energization by wave-particle interactions: comparison of spectral and particle simulation solutions of the Vlasov equation. Zbl 1193.65174 Gibelli, L.; Shizgal, B. D.; Yau, A. W. 2 2010 A catastrophe-theoretic approach to tricritical points with application to liquid crystals. Zbl 1239.82042 Gibelli, Livio; Turzi, Stefano 1 2009 A kinetic model for equilibrium and non-equilibrium structure of the vapor-liquid interface. Zbl 1062.76576 Frezzotti, Aldo; Gibelli, Livio 1 2003 Coupling molecular dynamics and direct simulation Monte Carlo using a general and high-performance code coupling library. Zbl 1521.82029 Longshaw, S. M.; Pillai, R.; Gibelli, L.; Emerson, D. R.; Lockerby, D. A. 1 2020 Crowd dynamics by kinetic theory modeling. Complexity, modeling, simulations, and safety. Zbl 1457.91002 Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Knopoff, Damián 1 2021 Knudsen minimum disappearance in molecular-confined flows. Zbl 1525.76083 Corral-Casas, Carlos; Li, Jun; Borg, Matthew K.; Gibelli, Livio 1 2022 Towards a mathematical theory of behavioral human crowds. Zbl 1483.90042 Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro 23 2022 Knudsen minimum disappearance in molecular-confined flows. Zbl 1525.76083 Corral-Casas, Carlos; Li, Jun; Borg, Matthew K.; Gibelli, Livio 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 Crowd dynamics by kinetic theory modeling. Complexity, modeling, simulations, and safety. Zbl 1457.91002 Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Knopoff, Damián 1 2021 A unified multiscale vision of behavioral crowds. Zbl 1434.91046 Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro 31 2020 A kinetic theory approach for modelling tumour and macrophages heterogeneity and plasticity during cancer progression. Zbl 1453.92072 Eftimie, R.; Gibelli, L. 7 2020 Crowd Dynamics, Volume 2. Theory, models, and applications. Zbl 1468.90003 2 2020 Coupling molecular dynamics and direct simulation Monte Carlo using a general and high-performance code coupling library. Zbl 1521.82029 Longshaw, S. M.; Pillai, R.; Gibelli, L.; Emerson, D. R.; Lockerby, D. A. 1 2020 On the interplay between behavioral dynamics and social interactions in human crowds. Zbl 1420.91384 Bellomo, Nicola; Gibelli, Livio; Outada, Nisrine 46 2019 Crowd dynamics, Volume 1. Theory, models, and safety problems. Zbl 1410.92004 5 2018 Heterogeneous population dynamics of active particles: progression, mutations, and selection dynamics. Zbl 1366.82078 Gibelli, L.; Ełaiw, A.; Alghamdi, M. A.; Althiabi, A. M. 35 2017 A quest towards a mathematical theory of living systems. Zbl 1381.92001 Bellomo, Nicola; Bellouquid, Abdelghani; Gibelli, Livio; Outada, Nisrine 25 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 Behavioral crowds: modeling and Monte Carlo simulations toward validation. Zbl 1390.65030 Bellomo, N.; Gibelli, L. 17 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 behavioral-social dynamics for pedestrian crowds. Zbl 1325.91042 Bellomo, Nicola; Gibelli, Livio 51 2015 A kinetic theory description of liquid menisci at the microscale. Zbl 1362.82044 Barbante, Paolo; Frezzotti, Aldo; Gibelli, Livio 16 2015 A finite-difference lattice Boltzmann approach for gas microflows. Zbl 1373.76240 Ghiroldi, G. P.; Gibelli, L. 6 2015 A direct method for the Boltzmann equation based on a pseudo-spectral velocity space discretization. Zbl 1349.76207 Ghiroldi, G. P.; Gibelli, L. 12 2014 Velocity slip coefficients based on the hard-sphere Boltzmann equation. Zbl 1309.76179 Gibelli, Livio 12 2012 Solving the Boltzmann equation on GPUs. Zbl 1308.65009 Frezzotti, A.; Ghiroldi, G. P.; Gibelli, L. 14 2011 Solving model kinetic equations on GPUs. Zbl 1271.76301 Frezzotti, A.; Ghiroldi, G. P.; Gibelli, L. 9 2011 Ion energization by wave-particle interactions: comparison of spectral and particle simulation solutions of the Vlasov equation. Zbl 1193.65174 Gibelli, L.; Shizgal, B. D.; Yau, A. W. 2 2010 A moment method for low speed microflows. Zbl 1184.76837 Frezzotti, Aldo; Gibelli, Livio; Franzelli, Benedetta 8 2009 A catastrophe-theoretic approach to tricritical points with application to liquid crystals. Zbl 1239.82042 Gibelli, Livio; Turzi, Stefano 1 2009 Spectral convergence of the Hermite basis function solution of the Vlasov equation: the free-streaming term. Zbl 1189.76406 Gibelli, Livio; Shizgal, Bernie D. 7 2006 Mean field kinetic theory description of evaporation of a fluid into vacuum. Zbl 1187.76165 Frezzotti, Aldo; Gibelli, Livio; Lorenzani, Silvia 22 2005 A kinetic model for equilibrium and non-equilibrium structure of the vapor-liquid interface. Zbl 1062.76576 Frezzotti, Aldo; Gibelli, Livio 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 424 Authors 31 Bellomo, Nicola 29 Elaiw, Ahmed M. 21 Gibelli, Livio 17 Ha, Seung-Yeal 11 Knopoff, Damian A. 10 Brezzi, Franco 9 Hobiny, Aatef D. 7 Alshaikh, Matuka A. 7 Burini, Diletta 7 Frezzotti, Aldo 7 Quaini, Annalisa 7 Toscani, Giuseppe 7 Wu, Lei 7 Zhang, Yonghao 6 Alshamrani, Noura H. 6 Chouhad, Nadia 6 Dimarco, Giacomo 6 Outada, Nisrine 6 Soler, Juan S. 5 Kim, Jeongho 5 Lachowicz, Mirosław 5 Pareschi, Lorenzo 5 Shim, Woojoo 4 Albi, Giacomo 4 Bertozzi, Andrea Louise 4 Dosi, Giovanni 4 Kim, Daewa 4 Kim, Dohyun 4 Ko, Dongnam 4 Piccoli, Benedetto 4 Surulescu, Christina 4 Virgillito, Maria Enrica 3 Alshehaiween, Safiya F. 3 Aylaj, Bouchra 3 Chaplain, Mark A. J. 3 Choi, Young-Pil 3 Ghiroldi, Gian Pietro 3 Hakim, Abdelilah 3 Jung, Jinwook 3 Kang, Myeongju 3 Klar, Axel 3 Leszczyński, Henryk 3 Liao, Jie 3 Luo, Lishi 3 Narski, Jacek 3 Pinasco, Juan Pablo 3 Reese, Jason M. 3 Rossi, Francesco 3 Sadr, Mohsen 3 Saintier, Nicolas 3 Short, Martin B. 3 Tao, Youshan 3 Topolski, Krzysztof A. 3 Wang, Chuntian 3 Wang, Peng 3 Winkler, Michael 3 Yong, Wen-An 3 Zhu, Lianhua 2 Aguiar, Maíra 2 Ahn, Hyunjin 2 Al Agha, Afnan D. 2 Alade, Taofeek O. 2 Almatrafi, A. A. 2 Alsulami, Saud Mastour A. 2 Ambruş, Victor E. 2 Andreianov, Boris 2 Aoki, Kazuo 2 Argoul, Pierre 2 Azoz, Shaimaa A. 2 Bae, Hyeong-Ohk 2 Barbante, Paolo Francesco 2 Bertaglia, Giulia 2 Boscheri, Walter 2 Cerfon, Antoine J. 2 Dolfin, Marina 2 El Mousaoui, Abdelghani 2 El Rhabi, Mohammed 2 Eliasson, Bengt 2 Flandoli, Franco 2 Furioli, Giulia 2 Galam, Serge 2 Gorji, Mohammad Hossein 2 Gualandi, Stefano 2 Guo, Zhaoli 2 Han, Yanbin 2 Hattaf, Khalid 2 Jiang, Yanqun 2 La Fauci, Eleonora 2 Lai, Shaoyong 2 Liu, Hong 2 Loubère, Raphaël 2 Mauri, Roberto 2 Ott, William 2 Park, Jinyeong 2 Pulvirenti, Ada 2 Reali, Alessandro 2 Riva, Martina 2 Roohi, Ehsan 2 Sharipov, Felix M. 2 Sofonea, Victor ...and 324 more Authors all top 5 Cited in 64 Serials 81 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 18 Journal of Computational Physics 11 Journal of Fluid Mechanics 9 Physica A 9 Kinetic and Related Models 7 Computers and Fluids 7 Physics of Fluids 7 Advances in Difference Equations 6 Computer Physics Communications 5 Journal of Statistical Physics 5 International Journal of Biomathematics 4 Applied Mathematics and Computation 4 Journal of Differential Equations 4 Physica D 3 Computers & Mathematics with Applications 3 Chaos, Solitons and Fractals 3 SIAM Journal on Applied Mathematics 3 Mathematical Biosciences and Engineering 3 Communications in Applied and Industrial Mathematics 2 Bulletin of Mathematical Biology 2 SIAM Journal on Control and Optimization 2 European Journal of Applied Mathematics 2 Discrete Dynamics in Nature and Society 2 European Journal of Mechanics. B. Fluids 2 Communications on Pure and Applied Analysis 2 SIAM Journal on Applied Dynamical Systems 2 Journal of Statistical Mechanics: Theory and Experiment 2 Journal of Biological Dynamics 2 Networks and Heterogeneous Media 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of the Korean Society for Industrial and Applied Mathematics 2 Open Mathematics 1 Acta Mechanica 1 Mathematical Biosciences 1 Physics Reports 1 Transport Theory and Statistical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 BIT 1 Kyungpook Mathematical Journal 1 Studies in Applied Mathematics 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 Applications of Mathematics 1 Applied Mathematical Modelling 1 SIAM Journal on Mathematical Analysis 1 Continuum Mechanics and Thermodynamics 1 Journal of Difference Equations and Applications 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Journal of Mathematical Chemistry 1 European Journal of Control 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of Biological Systems 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Milan Journal of Mathematics 1 Multiscale Modeling & Simulation 1 Acta Numerica 1 Journal of Physics A: Mathematical and Theoretical 1 Communications in Computational Physics 1 Journal of Mathematics and Computer Science. JMCS 1 Journal of Applied Analysis and Computation 1 AIMS Mathematics all top 5 Cited in 28 Fields 97 Biology and other natural sciences (92-XX) 94 Partial differential equations (35-XX) 78 Statistical mechanics, structure of matter (82-XX) 74 Fluid mechanics (76-XX) 59 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Numerical analysis (65-XX) 36 Ordinary differential equations (34-XX) 19 Operations research, mathematical programming (90-XX) 17 Probability theory and stochastic processes (60-XX) 14 Dynamical systems and ergodic theory (37-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Systems theory; control (93-XX) 4 General and overarching topics; collections (00-XX) 4 Integral equations (45-XX) 4 Mechanics of particles and systems (70-XX) 4 Mechanics of deformable solids (74-XX) 4 Information and communication theory, circuits (94-XX) 3 Statistics (62-XX) 3 Optics, electromagnetic theory (78-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Functional analysis (46-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX) Citations by Year