LEADER 04627nam 22006495 450 001 9910254303603321 005 20230822193305.0 010 $a3-319-49996-3 024 7 $a10.1007/978-3-319-49996-3 035 $a(CKB)3710000001175882 035 $a(DE-He213)978-3-319-49996-3 035 $a(MiAaPQ)EBC4839067 035 $a(PPN)200509993 035 $a(EXLCZ)993710000001175882 100 $a20170410d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aActive Particles, Volume 1 $eAdvances in Theory, Models, and Applications /$fedited by Nicola Bellomo, Pierre Degond, Eitan Tadmor 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2017. 215 $a1 online resource (X, 402 p. 100 illus., 94 illus. in color.) 225 1 $aModeling and Simulation in Science, Engineering and Technology,$x2164-3725 311 $a3-319-49994-7 320 $aIncludes bibliographical references at the end of each chapters. 327 $aAlbi, G., Burger, M., Haskovec, J., Markowich, P., Schlottbom, M., Discrete and Continuum Modeling of Biological Network Formation -- Albi, G., Pareschi, L., Toscani, G., Zanella, M., Recent Advances in Opinion Modeling: Control and Social Influence -- Aydo?du, A., Caponigro, M., McQuade, S., Piccoli, B., Pouradier Duteil, N., Rossi, F., Trélat, E., Interaction Network, State Space, and Control in Social Dynamics -- Benamou, J., Carlier, G., Santambrogio, F., Variational Mean Field Games -- Bongini, M., Fornasier, M., Sparse Control of Multiagent Systems -- Burini, D., Gibelli, L., Outada, N., A Kinetic Theory Approach to the Modeling of Complex Living Systems -- Carrillo, J., Choi, Y., Pérez, S., A Review of Attractive-Repulsive Hydrodynamics for Consensus in Collective Behavior -- Choi, Y., Ha, S., Li, Z., Emergent Dynamics of the Cucker-Smale Flocking Model and its Variants -- Di Francesco, M., Fagioli, S., Rosini, M., Russo, G., Follow-the-Leader Approximations of Macroscopic Models for Vehicular and Pedestrian Flows -- Jabin, P., Wang, Z., Mean Field Limit for Stochastic Particle Systems. 330 $aThis volume collects ten surveys on the modeling, simulation, and applications of active particles using methods ranging from mathematical kinetic theory to nonequilibrium statistical mechanics. The contributing authors are leading experts working in this challenging field, and each of their chapters provides a review of the most recent results in their areas and looks ahead to future research directions. The approaches to studying active matter are presented here from many different perspectives, such as individual-based models, evolutionary games, Brownian motion, and continuum theories, as well as various combinations of these. Applications covered include biological network formation and network theory; opinion formation and social systems; control theory of sparse systems; theory and applications of mean field games; population learning; dynamics of flocking systems; vehicular traffic flow; and stochastic particles and mean field approximation. Mathematicians and other members of the scientific community interested in active matter and its many applications will find this volume to be a timely, authoritative, and valuable resource. 410 0$aModeling and Simulation in Science, Engineering and Technology,$x2164-3725 606 $aMathematical models 606 $aSystem theory 606 $aMathematical physics 606 $aControl theory 606 $aMathematical Modeling and Industrial Mathematics 606 $aComplex Systems 606 $aTheoretical, Mathematical and Computational Physics 606 $aSystems Theory, Control 615 0$aMathematical models. 615 0$aSystem theory. 615 0$aMathematical physics. 615 0$aControl theory. 615 14$aMathematical Modeling and Industrial Mathematics. 615 24$aComplex Systems. 615 24$aTheoretical, Mathematical and Computational Physics. 615 24$aSystems Theory, Control . 676 $a570.15118 702 $aBellomo$b Nicola$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aDegond$b Pierre$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aTadmor$b Eitan$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254303603321 996 $aActive Particles, Volume 1$91985613 997 $aUNINA