Han, Zhaolong; Tian, Xiaochuan Nonlocal half-ball vector operators on bounded domains: Poincaré inequality and its applications. (English) Zbl 07778941 Math. Models Methods Appl. Sci. 33, No. 12, 2507-2556 (2023). MSC: 47B92 46E35 PDFBibTeX XMLCite \textit{Z. Han} and \textit{X. Tian}, Math. Models Methods Appl. Sci. 33, No. 12, 2507--2556 (2023; Zbl 07778941) Full Text: DOI arXiv
Bellomo, Nicola; Liao, Jie; Quaini, Annalisa; Russo, Lucia; Siettos, Constantinos Human behavioral crowds review, critical analysis and research perspectives. (English) Zbl 1517.90024 Math. Models Methods Appl. Sci. 33, No. 8, 1611-1659 (2023). MSC: 90B20 90-02 91D10 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 33, No. 8, 1611--1659 (2023; Zbl 1517.90024) Full Text: DOI
Ko, Dongnam; Ha, Seung-Yeal; Lee, Euntaek; Shim, Woojoo Collective behaviors of stochastic agent-based models and applications to finance and optimization. (English) Zbl 1517.34078 Math. Models Methods Appl. Sci. 33, No. 7, 1373-1436 (2023). MSC: 34D05 34C15 60H10 70K20 92B25 PDFBibTeX XMLCite \textit{D. Ko} et al., Math. Models Methods Appl. Sci. 33, No. 7, 1373--1436 (2023; Zbl 1517.34078) Full Text: DOI
Ha, Seung-Yeal; Kim, Jeongho; Park, Jinyeong Fast and slow clustering dynamics of Cucker-Smale ensemble with internal oscillatory phases. (English) Zbl 1524.70067 Math. Models Methods Appl. Sci. 33, No. 5, 1053-1097 (2023). MSC: 70K70 34C15 34D06 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 33, No. 5, 1053--1097 (2023; Zbl 1524.70067) Full Text: DOI
Kalise, Dante; Sharma, Akash; Tretyakov, Michael V. Consensus-based optimization via jump-diffusion stochastic differential equations. (English) Zbl 1515.60198 Math. Models Methods Appl. Sci. 33, No. 2, 289-339 (2023). MSC: 60H10 90C26 65C30 65C35 60J76 PDFBibTeX XMLCite \textit{D. Kalise} et al., Math. Models Methods Appl. Sci. 33, No. 2, 289--339 (2023; Zbl 1515.60198) Full Text: DOI arXiv
Choi, Young-Pil; Kim, Jeongho Rigorous derivation of the Euler-alignment model with singular communication weights from a kinetic Fokker-Planck-alignment model. (English) Zbl 1522.35381 Math. Models Methods Appl. Sci. 33, No. 1, 31-65 (2023). MSC: 35Q31 35Q84 35B40 35D30 35A01 35A02 82C40 PDFBibTeX XMLCite \textit{Y.-P. Choi} and \textit{J. Kim}, Math. Models Methods Appl. Sci. 33, No. 1, 31--65 (2023; Zbl 1522.35381) Full Text: DOI
Buttà, Paolo; Goddard, Ben; Hodgson, Thomas M.; Ottobre, Michela; Painter, Kevin J. Non-mean-field Vicsek-type models for collective behavior. (English) Zbl 1518.35069 Math. Models Methods Appl. Sci. 32, No. 14, 2763-2816 (2022). MSC: 35B36 35C07 60H10 PDFBibTeX XMLCite \textit{P. Buttà} et al., Math. Models Methods Appl. Sci. 32, No. 14, 2763--2816 (2022; Zbl 1518.35069) Full Text: DOI arXiv
Amadori, Debora; Christoforou, Cleopatra \(BV\) solutions for a hydrodynamic model of flocking-type with all-to-all interaction kernel. (English) Zbl 1517.35093 Math. Models Methods Appl. Sci. 32, No. 11, 2295-2357 (2022). MSC: 35D30 35B40 35L45 35L65 35Q70 PDFBibTeX XMLCite \textit{D. Amadori} and \textit{C. Christoforou}, Math. Models Methods Appl. Sci. 32, No. 11, 2295--2357 (2022; Zbl 1517.35093) Full Text: DOI arXiv
Bonnet, Benoît; Duteil, Nastassia Pouradier; Sigalotti, Mario Consensus formation in first-order graphon models with time-varying topologies. (English) Zbl 1512.05380 Math. Models Methods Appl. Sci. 32, No. 11, 2121-2188 (2022). MSC: 05C90 05C63 37L15 93A16 93D50 PDFBibTeX XMLCite \textit{B. Bonnet} et al., Math. Models Methods Appl. Sci. 32, No. 11, 2121--2188 (2022; Zbl 1512.05380) Full Text: DOI arXiv
Bellomo, Nicola; Gibelli, Livio; Quaini, Annalisa; Reali, Alessandro Towards a mathematical theory of behavioral human crowds. (English) Zbl 1483.90042 Math. Models Methods Appl. Sci. 32, No. 2, 321-358 (2022). MSC: 90B20 82C40 91D10 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 32, No. 2, 321--358 (2022; Zbl 1483.90042) Full Text: DOI
Huang, Qiao; Zhang, Xiongtao On the stochastic singular Cucker-Smale model: well-posedness, collision-avoidance and flocking. (English) Zbl 1490.60166 Math. Models Methods Appl. Sci. 32, No. 1, 43-99 (2022). MSC: 60H10 82C22 35B40 92D50 PDFBibTeX XMLCite \textit{Q. Huang} and \textit{X. Zhang}, Math. Models Methods Appl. Sci. 32, No. 1, 43--99 (2022; Zbl 1490.60166) Full Text: DOI arXiv
Bellomo, Nicola; Burini, Diletta; Dosi, Giovanni; Gibelli, Livio; Knopoff, Damian; Outada, Nisrine; Terna, Pietro; Virgillito, Maria Enrica What is life? A perspective of the mathematical kinetic theory of active particles. (English) Zbl 1480.92012 Math. Models Methods Appl. Sci. 31, No. 9, 1821-1866 (2021). MSC: 92B05 92C42 92D15 92D30 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 31, No. 9, 1821--1866 (2021; Zbl 1480.92012) Full Text: DOI
Ko, Dongnam; Zuazua, Enrique Model predictive control with random batch methods for a guiding problem. (English) Zbl 1476.49038 Math. Models Methods Appl. Sci. 31, No. 8, 1569-1592 (2021). MSC: 49M29 90C59 93B51 PDFBibTeX XMLCite \textit{D. Ko} and \textit{E. Zuazua}, Math. Models Methods Appl. Sci. 31, No. 8, 1569--1592 (2021; Zbl 1476.49038) Full Text: DOI arXiv
Kim, Jeongho; Poyato, David; Soler, Juan Hydrodynamic limit of a coupled Cucker-Smale system with strong and weak internal variable relaxation. (English) Zbl 1475.92218 Math. Models Methods Appl. Sci. 31, No. 6, 1163-1235 (2021). MSC: 92D50 76E99 35Q92 PDFBibTeX XMLCite \textit{J. Kim} et al., Math. Models Methods Appl. Sci. 31, No. 6, 1163--1235 (2021; Zbl 1475.92218) Full Text: DOI arXiv
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon; Ko, Dongnam Uniform-in-time error estimate of the random batch method for the Cucker-Smale model. (English) Zbl 1492.92003 Math. Models Methods Appl. Sci. 31, No. 6, 1099-1135 (2021). MSC: 92-08 34F05 37M99 37N30 60K35 65C35 65P99 92D50 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 31, No. 6, 1099--1135 (2021; Zbl 1492.92003) Full Text: DOI
Miao, Qianyun; Tan, Changhui; Xue, Liutang Global regularity for a 1D Euler-alignment system with misalignment. (English) Zbl 1473.35452 Math. Models Methods Appl. Sci. 31, No. 3, 473-524 (2021). MSC: 35Q35 35R11 92D25 76N10 PDFBibTeX XMLCite \textit{Q. Miao} et al., Math. Models Methods Appl. Sci. 31, No. 3, 473--524 (2021; Zbl 1473.35452) Full Text: DOI arXiv
Carrillo, José A.; Choi, Young-Pil; Jung, Jinwook Quantifying the hydrodynamic limit of Vlasov-type equations with alignment and nonlocal forces. (English) Zbl 1483.35267 Math. Models Methods Appl. Sci. 31, No. 2, 327-408 (2021). MSC: 35Q83 35Q31 35Q84 35B40 35D30 35D35 35A01 82C40 92C15 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Math. Models Methods Appl. Sci. 31, No. 2, 327--408 (2021; Zbl 1483.35267) Full Text: DOI arXiv
Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe Consensus-based optimization on hypersurfaces: well-posedness and mean-field limit. (English) Zbl 1467.90039 Math. Models Methods Appl. Sci. 30, No. 14, 2725-2751 (2020). MSC: 90C26 34F05 35Q70 35Q84 35Q93 37N40 PDFBibTeX XMLCite \textit{M. Fornasier} et al., Math. Models Methods Appl. Sci. 30, No. 14, 2725--2751 (2020; Zbl 1467.90039) Full Text: DOI arXiv
Billiard, Sylvain; Derex, Maxime; Maisonneuve, Ludovic; Rey, Thomas Convergence of knowledge in a stochastic cultural evolution model with population structure, social learning and credibility biases. (English) Zbl 1462.91016 Math. Models Methods Appl. Sci. 30, No. 14, 2691-2723 (2020). MSC: 91D10 91D15 60G99 PDFBibTeX XMLCite \textit{S. Billiard} et al., Math. Models Methods Appl. Sci. 30, No. 14, 2691--2723 (2020; Zbl 1462.91016) Full Text: DOI
Ha, Seung-Yeal; Jin, Shi; Kim, Doheon Convergence of a first-order consensus-based global optimization algorithm. (English) Zbl 1467.90040 Math. Models Methods Appl. Sci. 30, No. 12, 2417-2444 (2020). MSC: 90C26 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 30, No. 12, 2417--2444 (2020; Zbl 1467.90040) Full Text: DOI arXiv
Minakowski, Piotr; Mucha, Piotr B.; Peszek, Jan Density-induced consensus protocol. (English) Zbl 1476.70056 Math. Models Methods Appl. Sci. 30, No. 12, 2389-2415 (2020). MSC: 70F20 92D25 92D50 91D30 PDFBibTeX XMLCite \textit{P. Minakowski} et al., Math. Models Methods Appl. Sci. 30, No. 12, 2389--2415 (2020; Zbl 1476.70056) Full Text: DOI arXiv
Ha, Seung-Yeal; Li, Zhuchun; Zhang, Xiongtao On the critical exponent of the one-dimensional Cucker-Smale model on a general graph. (English) Zbl 1458.34098 Math. Models Methods Appl. Sci. 30, No. 9, 1653-1703 (2020). MSC: 34D06 05C20 82C20 70F99 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 30, No. 9, 1653--1703 (2020; Zbl 1458.34098) Full Text: DOI
Bostan, Mihaï; Carrillo, José Antonio Fluid models with phase transition for kinetic equations in swarming. (English) Zbl 1459.92168 Math. Models Methods Appl. Sci. 30, No. 10, 2023-2065 (2020). Reviewer: Andrey Zahariev (Plovdiv) MSC: 92D50 35Q84 PDFBibTeX XMLCite \textit{M. Bostan} and \textit{J. A. Carrillo}, Math. Models Methods Appl. Sci. 30, No. 10, 2023--2065 (2020; Zbl 1459.92168) Full Text: DOI arXiv
Benedetto, D.; Buttà, P.; Caglioti, E. Some aspects of the inertial spin model for flocks and related kinetic equations. (English) Zbl 1462.82055 Math. Models Methods Appl. Sci. 30, No. 10, 1987-2022 (2020). MSC: 82C40 82C31 35Q84 60K35 92D50 92C15 PDFBibTeX XMLCite \textit{D. Benedetto} et al., Math. Models Methods Appl. Sci. 30, No. 10, 1987--2022 (2020; Zbl 1462.82055) Full Text: DOI arXiv
Bellomo, N. (ed.); Brezzi, F. (ed.); Soler, J. (ed.) Recent results and challenges in behavioral systems. (English) Zbl 07291075 Math. Models Methods Appl. Sci. 30, No. 10, 1857-1862 (2020). MSC: 00B15 PDFBibTeX XMLCite \textit{N. Bellomo} (ed.) et al., Math. Models Methods Appl. Sci. 30, No. 10, 1857--1862 (2020; Zbl 07291075) Full Text: DOI
Ha, Seung-Yeal; Ko, Dongnam; Shim, Woojoo; Yu, Hui Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises. (English) Zbl 1470.70030 Math. Models Methods Appl. Sci. 30, No. 4, 727-763 (2020). MSC: 70L05 70K20 34D05 60H10 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 30, No. 4, 727--763 (2020; Zbl 1470.70030) Full Text: DOI
Bellomo, N.; Brezzi, F.; Soler, J. Active particles methods and challenges in behavioral systems. (English) Zbl 1454.35392 Math. Models Methods Appl. Sci. 30, No. 4, 653-658 (2020). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q92 92C15 35B40 35L60 35K55 35Q70 35Q91 PDFBibTeX XMLCite \textit{N. Bellomo} et al., Math. Models Methods Appl. Sci. 30, No. 4, 653--658 (2020; Zbl 1454.35392) Full Text: DOI
Aylaj, Bouchra; Bellomo, Nicola; Gibelli, Livio; Reali, Alessandro A unified multiscale vision of behavioral crowds. (English) Zbl 1434.91046 Math. Models Methods Appl. Sci. 30, No. 1, 1-22 (2020). MSC: 91B80 91D10 PDFBibTeX XMLCite \textit{B. Aylaj} et al., Math. Models Methods Appl. Sci. 30, No. 1, 1--22 (2020; Zbl 1434.91046) Full Text: DOI
Fang, Di; Ha, Seung-Yeal; Jin, Shi Emergent behaviors of the Cucker-Smale ensemble under attractive-repulsive couplings and Rayleigh frictions. (English) Zbl 1433.34064 Math. Models Methods Appl. Sci. 29, No. 7, 1349-1385 (2019). MSC: 34C60 92D50 34D05 92B20 PDFBibTeX XMLCite \textit{D. Fang} et al., Math. Models Methods Appl. Sci. 29, No. 7, 1349--1385 (2019; Zbl 1433.34064) Full Text: DOI arXiv
Leslie, Trevor M.; Shvydkoy, Roman On the structure of limiting flocks in hydrodynamic Euler alignment models. (English) Zbl 1428.92130 Math. Models Methods Appl. Sci. 29, No. 13, 2419-2431 (2019). MSC: 92D50 35Q92 PDFBibTeX XMLCite \textit{T. M. Leslie} and \textit{R. Shvydkoy}, Math. Models Methods Appl. Sci. 29, No. 13, 2419--2431 (2019; Zbl 1428.92130) Full Text: DOI arXiv
Ha, Seung-Yeal; Jung, Jinwook; Kim, Jeongho; Park, Jinyeong; Zhang, Xiongtao Emergent behaviors of the swarmalator model for position-phase aggregation. (English) Zbl 1459.70030 Math. Models Methods Appl. Sci. 29, No. 12, 2225-2269 (2019). MSC: 70F10 34C15 34D06 37N25 92B25 92D50 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 29, No. 12, 2225--2269 (2019; Zbl 1459.70030) Full Text: DOI
Cai, Wenli; Jabin, Pierre-Emmanuel; Liu, Hailiang Time-asymptotic convergence rates towards discrete steady states of a nonlocal selection-mutation model. (English) Zbl 1427.35292 Math. Models Methods Appl. Sci. 29, No. 11, 2063-2087 (2019). MSC: 35Q92 92D15 35B40 35R09 92D25 PDFBibTeX XMLCite \textit{W. Cai} et al., Math. Models Methods Appl. Sci. 29, No. 11, 2063--2087 (2019; Zbl 1427.35292) Full Text: DOI
Albi, G.; Bellomo, N.; Fermo, L.; Ha, S.-Y.; Kim, J.; Pareschi, L.; Poyato, D.; Soler, J. Vehicular traffic, crowds, and swarms: from kinetic theory and multiscale methods to applications and research perspectives. (English) Zbl 1431.35211 Math. Models Methods Appl. Sci. 29, No. 10, 1901-2005 (2019). MSC: 35Q92 90B20 74A25 76N10 92D25 35B40 35L60 35Q31 35Q91 PDFBibTeX XMLCite \textit{G. Albi} et al., Math. Models Methods Appl. Sci. 29, No. 10, 1901--2005 (2019; Zbl 1431.35211) Full Text: DOI
Biccari, Umberto; Ko, Dongnam; Zuazua, Enrique Dynamics and control for multi-agent networked systems: a finite-difference approach. (English) Zbl 1428.93017 Math. Models Methods Appl. Sci. 29, No. 4, 755-790 (2019). MSC: 93B05 93A14 93C20 93D99 PDFBibTeX XMLCite \textit{U. Biccari} et al., Math. Models Methods Appl. Sci. 29, No. 4, 755--790 (2019; Zbl 1428.93017) Full Text: DOI arXiv
Dong, Jiu-Gang; Ha, Seung-Yeal; Kim, Doheon Emergent behaviors of continuous and discrete thermomechanical Cucker-Smale models on general digraphs. (English) Zbl 1464.34068 Math. Models Methods Appl. Sci. 29, No. 4, 589-632 (2019). MSC: 34C60 34D05 34A12 34D06 39A12 05C20 92D50 PDFBibTeX XMLCite \textit{J.-G. Dong} et al., Math. Models Methods Appl. Sci. 29, No. 4, 589--632 (2019; Zbl 1464.34068) Full Text: DOI arXiv
Winkler, Michael Global generalized solutions to a multi-dimensional doubly tactic resource consumption model accounting for social interactions. (English) Zbl 1428.35612 Math. Models Methods Appl. Sci. 29, No. 3, 373-418 (2019). MSC: 35Q91 35Q92 35B40 35K55 35D30 92D25 92C17 35B35 91D10 PDFBibTeX XMLCite \textit{M. Winkler}, Math. Models Methods Appl. Sci. 29, No. 3, 373--418 (2019; Zbl 1428.35612) Full Text: DOI
Choi, Young-Pil The global Cauchy problem for compressible Euler equations with a nonlocal dissipation. (English) Zbl 1414.35155 Math. Models Methods Appl. Sci. 29, No. 1, 185-207 (2019). MSC: 35Q31 35A01 35A09 35B40 35Q92 35A02 35D35 81V70 35B44 35B65 76N10 92C15 PDFBibTeX XMLCite \textit{Y.-P. Choi}, Math. Models Methods Appl. Sci. 29, No. 1, 185--207 (2019; Zbl 1414.35155) Full Text: DOI arXiv
Danchin, Raphaël; Mucha, Piotr B.; Peszek, Jan; Wróblewski, Bartosz Regular solutions to the fractional Euler alignment system in the Besov spaces framework. (English) Zbl 1411.35223 Math. Models Methods Appl. Sci. 29, No. 1, 89-119 (2019). MSC: 35Q31 35B65 35R11 76N10 82C22 PDFBibTeX XMLCite \textit{R. Danchin} et al., Math. Models Methods Appl. Sci. 29, No. 1, 89--119 (2019; Zbl 1411.35223) Full Text: DOI arXiv
Ha, Seung-Yeal; Zhang, Xiongtao Uniform-in-time transition from discrete dynamics to continuous dynamics in the Cucker-Smale flocking. (English) Zbl 1451.92344 Math. Models Methods Appl. Sci. 28, No. 9, 1699-1735 (2018). MSC: 92D50 82C22 PDFBibTeX XMLCite \textit{S.-Y. Ha} and \textit{X. Zhang}, Math. Models Methods Appl. Sci. 28, No. 9, 1699--1735 (2018; Zbl 1451.92344) Full Text: DOI
Albi, Giacomo; Choi, Young-Pil; Häck, Axel-Stefan Pressureless Euler alignment system with control. (English) Zbl 1411.82025 Math. Models Methods Appl. Sci. 28, No. 9, 1635-1664 (2018). MSC: 82C22 49K20 35Q93 65M08 35Q31 82C80 76N25 PDFBibTeX XMLCite \textit{G. Albi} et al., Math. Models Methods Appl. Sci. 28, No. 9, 1635--1664 (2018; Zbl 1411.82025) Full Text: DOI arXiv
Bellomo, N.; Brezzi, F. Challenges in active particles methods: theory and applications. (English) Zbl 1411.35149 Math. Models Methods Appl. Sci. 28, No. 9, 1627-1633 (2018). MSC: 35K55 35Q70 35Q91 35Q92 PDFBibTeX XMLCite \textit{N. Bellomo} and \textit{F. Brezzi}, Math. Models Methods Appl. Sci. 28, No. 9, 1627--1633 (2018; Zbl 1411.35149) Full Text: DOI
Carrillo, José A.; Choi, Young-Pil; Totzeck, Claudia; Tse, Oliver An analytical framework for consensus-based global optimization method. (English) Zbl 1397.35311 Math. Models Methods Appl. Sci. 28, No. 6, 1037-1066 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 35Q84 35Q91 35Q93 37N40 60H10 82C31 90C15 90C59 91B69 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Math. Models Methods Appl. Sci. 28, No. 6, 1037--1066 (2018; Zbl 1397.35311) Full Text: DOI arXiv
Choi, Young-Pil; Salem, Samir Propagation of chaos for aggregation equations with no-flux boundary conditions and sharp sensing zones. (English) Zbl 1383.82034 Math. Models Methods Appl. Sci. 28, No. 2, 223-258 (2018). MSC: 82C22 35Q84 35Q92 92C15 35Q83 82C31 60K35 PDFBibTeX XMLCite \textit{Y.-P. Choi} and \textit{S. Salem}, Math. Models Methods Appl. Sci. 28, No. 2, 223--258 (2018; Zbl 1383.82034) Full Text: DOI arXiv
Poyato, David; Soler, Juan Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker-Smale models. (English) Zbl 1369.35050 Math. Models Methods Appl. Sci. 27, No. 6, 1089-1152 (2017). MSC: 35Q31 35A01 35B40 35L60 35L81 35Q35 35Q83 35Q92 35R09 PDFBibTeX XMLCite \textit{D. Poyato} and \textit{J. Soler}, Math. Models Methods Appl. Sci. 27, No. 6, 1089--1152 (2017; Zbl 1369.35050) Full Text: DOI arXiv
Ha, Seung-Yeal; Ko, Dongnam; Zhang, Yinglong Critical coupling strength of the Cucker-Smale model for flocking. (English) Zbl 1385.34038 Math. Models Methods Appl. Sci. 27, No. 6, 1051-1087 (2017). Reviewer: Victoria Grushkovskaya (Stuttgart) MSC: 34D05 92D50 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 27, No. 6, 1051--1087 (2017; Zbl 1385.34038) Full Text: DOI
Bostan, Mihai; Carrillo, Jose Antonio Reduced fluid models for self-propelled particles interacting through alignment. (English) Zbl 1372.92117 Math. Models Methods Appl. Sci. 27, No. 7, 1255-1299 (2017). MSC: 92D50 82C40 35Q83 PDFBibTeX XMLCite \textit{M. Bostan} and \textit{J. A. Carrillo}, Math. Models Methods Appl. Sci. 27, No. 7, 1255--1299 (2017; Zbl 1372.92117) Full Text: DOI arXiv
Tan, Changhui A discontinuous Galerkin method on kinetic flocking models. (English) Zbl 1376.65131 Math. Models Methods Appl. Sci. 27, No. 7, 1199-1221 (2017). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65M60 92C45 65M20 35Q92 PDFBibTeX XMLCite \textit{C. Tan}, Math. Models Methods Appl. Sci. 27, No. 7, 1199--1221 (2017; Zbl 1376.65131) Full Text: DOI arXiv
Bellomo, Nicola; Ha, Seung-Yeal A quest toward a mathematical theory of the dynamics of swarms. (English) Zbl 1366.82077 Math. Models Methods Appl. Sci. 27, No. 4, 745-770 (2017). MSC: 82D99 91D10 92C15 PDFBibTeX XMLCite \textit{N. Bellomo} and \textit{S.-Y. Ha}, Math. Models Methods Appl. Sci. 27, No. 4, 745--770 (2017; Zbl 1366.82077) Full Text: DOI
Bongini, Mattia; Fornasier, Massimo; Hansen, Markus; Maggioni, Mauro Inferring interaction rules from observations of evolutive systems. I: The variational approach. (English) Zbl 1368.37017 Math. Models Methods Appl. Sci. 27, No. 5, 909-951 (2017). Reviewer: Denis Sidorov (Irkutsk) MSC: 37A60 93B30 49N45 49N30 68Q32 97M70 PDFBibTeX XMLCite \textit{M. Bongini} et al., Math. Models Methods Appl. Sci. 27, No. 5, 909--951 (2017; Zbl 1368.37017) Full Text: DOI arXiv
Bongini, Mattia; Buttazzo, Giuseppe Optimal control problems in transport dynamics. (English) Zbl 1365.49004 Math. Models Methods Appl. Sci. 27, No. 3, 427-451 (2017). MSC: 49J20 49J45 60K30 92D25 93A14 68T42 PDFBibTeX XMLCite \textit{M. Bongini} and \textit{G. Buttazzo}, Math. Models Methods Appl. Sci. 27, No. 3, 427--451 (2017; Zbl 1365.49004) Full Text: DOI arXiv
Pinnau, René; Totzeck, Claudia; Tse, Oliver; Martin, Stephan A consensus-based model for global optimization and its mean-field limit. (English) Zbl 1388.90098 Math. Models Methods Appl. Sci. 27, No. 1, 183-204 (2017). MSC: 90C26 34F05 35B40 PDFBibTeX XMLCite \textit{R. Pinnau} et al., Math. Models Methods Appl. Sci. 27, No. 1, 183--204 (2017; Zbl 1388.90098) Full Text: DOI arXiv
Furioli, Giulia; Pulvirenti, Ada; Terraneo, Elide; Toscani, Giuseppe Fokker-Planck equations in the modeling of socio-economic phenomena. (English) Zbl 1362.35305 Math. Models Methods Appl. Sci. 27, No. 1, 115-158 (2017). Reviewer: Rodica Luca (Iaşi) MSC: 35Q84 82B21 91D10 94A17 35B40 PDFBibTeX XMLCite \textit{G. Furioli} et al., Math. Models Methods Appl. Sci. 27, No. 1, 115--158 (2017; Zbl 1362.35305) Full Text: DOI
Carrillo, José A.; Choi, Young-Pil; Tadmor, Eitan; Tan, Changhui Critical thresholds in 1D Euler equations with non-local forces. (English) Zbl 1356.35174 Math. Models Methods Appl. Sci. 26, No. 1, 185-206 (2016). MSC: 35Q35 35A01 35Q31 76N10 PDFBibTeX XMLCite \textit{J. A. Carrillo} et al., Math. Models Methods Appl. Sci. 26, No. 1, 185--206 (2016; Zbl 1356.35174) Full Text: DOI arXiv
Degond, Pierre; Navoret, Laurent A multi-layer model for self-propelled disks interacting through alignment and volume exclusion. (English) Zbl 1328.35247 Math. Models Methods Appl. Sci. 25, No. 13, 2439-2475 (2015). MSC: 35Q92 35L60 82C22 82C70 82C31 PDFBibTeX XMLCite \textit{P. Degond} and \textit{L. Navoret}, Math. Models Methods Appl. Sci. 25, No. 13, 2439--2475 (2015; Zbl 1328.35247) Full Text: DOI arXiv
Kang, Moon-Jin; Vasseur, Alexis F. Asymptotic analysis of Vlasov-type equations under strong local alignment regime. (English) Zbl 1331.35345 Math. Models Methods Appl. Sci. 25, No. 11, Article ID 2153, 2153-2173 (2015). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q83 35Q70 35Q31 35D30 35B40 35A09 35A15 PDFBibTeX XMLCite \textit{M.-J. Kang} and \textit{A. F. Vasseur}, Math. Models Methods Appl. Sci. 25, No. 11, Article ID 2153, 2153--2173 (2015; Zbl 1331.35345) Full Text: DOI arXiv
Bassetti, Federico; Toscani, Giuseppe Mean field dynamics of interaction processes with duplication, loss and copy. (English) Zbl 1334.92329 Math. Models Methods Appl. Sci. 25, No. 10, 1887-1925 (2015). MSC: 92D25 60J85 PDFBibTeX XMLCite \textit{F. Bassetti} and \textit{G. Toscani}, Math. Models Methods Appl. Sci. 25, No. 10, 1887--1925 (2015; Zbl 1334.92329) Full Text: DOI arXiv
Bae, Hyeong-Ohk; Ha, Seung-Yeal; Kim, Yongsik; Lee, Sang-Hyeok; Lim, Hyuncheul; Yoo, Jane A mathematical model for volatility flocking with a regime switching mechanism in a stock market. (English) Zbl 1321.91097 Math. Models Methods Appl. Sci. 25, No. 7, 1299-1335 (2015). MSC: 91B70 60J70 60H30 91B80 91C20 91G80 PDFBibTeX XMLCite \textit{H.-O. Bae} et al., Math. Models Methods Appl. Sci. 25, No. 7, 1299--1335 (2015; Zbl 1321.91097) Full Text: DOI
Wongkaew, Suttida; Caponigro, Marco; Borzì, Alfio On the control through leadership of the Hegselmann-Krause opinion formation model. (English) Zbl 1311.91164 Math. Models Methods Appl. Sci. 25, No. 3, 565-585 (2015). MSC: 91D10 49K15 65L06 93B52 PDFBibTeX XMLCite \textit{S. Wongkaew} et al., Math. Models Methods Appl. Sci. 25, No. 3, 565--585 (2015; Zbl 1311.91164) Full Text: DOI
Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel Sparse stabilization and control of alignment models. (English) Zbl 1331.49003 Math. Models Methods Appl. Sci. 25, No. 3, 521-564 (2015). MSC: 49J15 65K10 93D15 93B05 34D45 35B36 PDFBibTeX XMLCite \textit{M. Caponigro} et al., Math. Models Methods Appl. Sci. 25, No. 3, 521--564 (2015; Zbl 1331.49003) Full Text: DOI arXiv
Degond, Pierre; Yu, Hui Self-organized hydrodynamics in an annular domain: modal analysis and nonlinear effects. (English) Zbl 1311.35149 Math. Models Methods Appl. Sci. 25, No. 3, 495-519 (2015). MSC: 35L60 35L65 35P10 35Q92 82C22 82C70 82C80 92D50 PDFBibTeX XMLCite \textit{P. Degond} and \textit{H. Yu}, Math. Models Methods Appl. Sci. 25, No. 3, 495--519 (2015; Zbl 1311.35149) Full Text: DOI arXiv
Borzì, Alfio; Wongkaew, Suttida Modeling and control through leadership of a refined flocking system. (English) Zbl 1308.82043 Math. Models Methods Appl. Sci. 25, No. 2, 255-282 (2015). MSC: 82C22 65L06 49K15 PDFBibTeX XMLCite \textit{A. Borzì} and \textit{S. Wongkaew}, Math. Models Methods Appl. Sci. 25, No. 2, 255--282 (2015; Zbl 1308.82043) Full Text: DOI
Karper, Trygve K.; Mellet, Antoine; Trivisa, Konstantina Hydrodynamic limit of the kinetic Cucker-Smale flocking model. (English) Zbl 1309.35180 Math. Models Methods Appl. Sci. 25, No. 1, 131-163 (2015). MSC: 35Q92 35Q84 35D30 35Q31 92C15 PDFBibTeX XMLCite \textit{T. K. Karper} et al., Math. Models Methods Appl. Sci. 25, No. 1, 131--163 (2015; Zbl 1309.35180) Full Text: DOI arXiv
Ha, Seung-Yeal; Kang, Moon-Jin; Kwon, Bongsuk A hydrodynamic model for the interaction of Cucker-Smale particles and incompressible fluid. (English) Zbl 1300.35073 Math. Models Methods Appl. Sci. 24, No. 11, 2311-2359 (2014). MSC: 35Q30 35Q31 35B40 35R01 76D05 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 24, No. 11, 2311--2359 (2014; Zbl 1300.35073) Full Text: DOI
Li, Zhuchun; Ha, Seung-Yeal; Xue, Xiaoping Emergent phenomena in an ensemble of Cucker-Smale particles under joint rooted leadership. (English) Zbl 1326.92075 Math. Models Methods Appl. Sci. 24, No. 7, 1389-1419 (2014). MSC: 92D50 92D25 15B48 PDFBibTeX XMLCite \textit{Z. Li} et al., Math. Models Methods Appl. Sci. 24, No. 7, 1389--1419 (2014; Zbl 1326.92075) Full Text: DOI
Degond, Pierre; Dimarco, Giacomo; Mac, Thi Bich Ngoc Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles. (English) Zbl 1285.35120 Math. Models Methods Appl. Sci. 24, No. 2, 277-325 (2014). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q84 35L60 35B40 82C22 82C31 92D50 PDFBibTeX XMLCite \textit{P. Degond} et al., Math. Models Methods Appl. Sci. 24, No. 2, 277--325 (2014; Zbl 1285.35120) Full Text: DOI arXiv
Banasiak, Jacek; Lachowicz, Mirosław On a macroscopic limit of a kinetic model of alignment. (English) Zbl 1277.92003 Math. Models Methods Appl. Sci. 23, No. 14, 2647-2670 (2013). MSC: 92B05 35Q92 35C07 PDFBibTeX XMLCite \textit{J. Banasiak} and \textit{M. Lachowicz}, Math. Models Methods Appl. Sci. 23, No. 14, 2647--2670 (2013; Zbl 1277.92003) Full Text: DOI arXiv
Bostan, Mihai; Carrillo, Jose Antonio Asymptotic fixed-speed reduced dynamics for kinetic equations in swarming. (English) Zbl 1322.35136 Math. Models Methods Appl. Sci. 23, No. 13, 2353-2393 (2013). MSC: 35Q83 35B25 82C40 92C10 92D50 PDFBibTeX XMLCite \textit{M. Bostan} and \textit{J. A. Carrillo}, Math. Models Methods Appl. Sci. 23, No. 13, 2353--2393 (2013; Zbl 1322.35136) Full Text: DOI arXiv
Carlen, Eric; Degond, Pierre; Wennberg, Bernt Kinetic limits for pair-interaction driven master equations and biological swarm models. (English) Zbl 1294.35173 Math. Models Methods Appl. Sci. 23, No. 7, 1339-1376 (2013). Reviewer: Svitlana P. Rogovchenko (Kristiansand) MSC: 35Q92 35Q20 35Q70 35Q82 60J75 60K35 82C21 82C22 82C31 92D50 PDFBibTeX XMLCite \textit{E. Carlen} et al., Math. Models Methods Appl. Sci. 23, No. 7, 1339--1376 (2013; Zbl 1294.35173) Full Text: DOI arXiv
Navoret, Laurent A two-species hydrodynamic model of particles interacting through self-alignment. (English) Zbl 1284.35451 Math. Models Methods Appl. Sci. 23, No. 6, 1067-1098 (2013). MSC: 35Q92 35Q70 82C22 82C40 92D50 60J27 PDFBibTeX XMLCite \textit{L. Navoret}, Math. Models Methods Appl. Sci. 23, No. 6, 1067--1098 (2013; Zbl 1284.35451) Full Text: DOI arXiv
Ahn, Shinmi; Bae, Hyeong-Ohk; Ha, Seung-Yeal; Kim, Yongsik; Lim, Hyuncheul Application of flocking mechanism to the modeling of stochastic volatility. (English) Zbl 1266.91097 Math. Models Methods Appl. Sci. 23, No. 9, 1603-1628 (2013). MSC: 91G20 91G80 91G50 PDFBibTeX XMLCite \textit{S. Ahn} et al., Math. Models Methods Appl. Sci. 23, No. 9, 1603--1628 (2013; Zbl 1266.91097) Full Text: DOI
Ha, Seung-Yeal; Jeong, Eunhee; Kang, Jeong-Han; Kang, Kyungkeun Emergence of multi-cluster configurations from attractive and repulsive interactions. (English) Zbl 1406.91321 Math. Models Methods Appl. Sci. 22, No. 8, 1250013, 42 p. (2012). MSC: 91D30 91D10 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 22, No. 8, 1250013, 42 p. (2012; Zbl 1406.91321) Full Text: DOI
Ha, Seung-Yeal; Kang, Moon-Jin; Lattanzio, Corrado; Rubino, Bruno A class of interacting particle systems on the infinite cylinder with flocking phenomena. (English) Zbl 1241.92081 Math. Models Methods Appl. Sci. 22, No. 7, 1250008, 25 p. (2012). MSC: 92D50 92D25 74A25 34C60 37N25 65C20 PDFBibTeX XMLCite \textit{S.-Y. Ha} et al., Math. Models Methods Appl. Sci. 22, No. 7, 1250008, 25 p. (2012; Zbl 1241.92081) Full Text: DOI
Bolley, François; Cañizo, José A.; Carrillo, José A. Stochastic mean-field limit: non-Lipschitz forces and swarming. (English) Zbl 1273.82041 Math. Models Methods Appl. Sci. 21, No. 11, 2179-2210 (2011). Reviewer: Guanggan Chen (Chengdu) MSC: 82C22 82C40 35Q92 PDFBibTeX XMLCite \textit{F. Bolley} et al., Math. Models Methods Appl. Sci. 21, No. 11, 2179--2210 (2011; Zbl 1273.82041) Full Text: DOI arXiv
Fetecau, Razvan C. Collective behavior of biological aggregations in two dimensions: a nonlocal kinetic model. (English) Zbl 1219.92073 Math. Models Methods Appl. Sci. 21, No. 7, 1539-1569 (2011). MSC: 92D50 35Q92 65C20 PDFBibTeX XMLCite \textit{R. C. Fetecau}, Math. Models Methods Appl. Sci. 21, No. 7, 1539--1569 (2011; Zbl 1219.92073) Full Text: DOI
Cañizo, J. A.; Carrillo, J. A.; Rosado, J. A well-posedness theory in measures for some kinetic models of collective motion. (English) Zbl 1218.35005 Math. Models Methods Appl. Sci. 21, No. 3, 515-539 (2011). MSC: 35A01 35A02 35B40 82D99 92D50 PDFBibTeX XMLCite \textit{J. A. Cañizo} et al., Math. Models Methods Appl. Sci. 21, No. 3, 515--539 (2011; Zbl 1218.35005) Full Text: DOI arXiv
Degond, Pierre; Yang, Tong Diffusion in a continuum model of self-propelled particles with alignment interaction. (English) Zbl 1420.76006 Math. Models Methods Appl. Sci. 20, Suppl., 1459-1490 (2010). MSC: 76R50 76Z10 76M45 PDFBibTeX XMLCite \textit{P. Degond} and \textit{T. Yang}, Math. Models Methods Appl. Sci. 20, 1459--1490 (2010; Zbl 1420.76006) Full Text: DOI arXiv
Cucker, Felipe; Dong, Jiu-Gang On the critical exponent for flocks under hierarchical leadership. (English) Zbl 1202.92089 Math. Models Methods Appl. Sci. 19, Suppl., 1391-1404 (2009). Reviewer: E. Ahmed (Mansoura) MSC: 92D50 PDFBibTeX XMLCite \textit{F. Cucker} and \textit{J.-G. Dong}, Math. Models Methods Appl. Sci. 19, 1391--1404 (2009; Zbl 1202.92089) Full Text: DOI
Coscia, V.; Canavesio, C. First-order macroscopic modelling of human crowd dynamics. (English) Zbl 1171.91018 Math. Models Methods Appl. Sci. 18, Suppl., 1217-1247 (2008). MSC: 91D10 35Q91 90B20 92D50 PDFBibTeX XMLCite \textit{V. Coscia} and \textit{C. Canavesio}, Math. Models Methods Appl. Sci. 18, 1217--1247 (2008; Zbl 1171.91018) Full Text: DOI
Degond, Pierre; Motsch, Sébastien Continuum limit of self-driven particles with orientation interaction. (English) Zbl 1157.35492 Math. Models Methods Appl. Sci. 18, Suppl., 1193-1215 (2008). MSC: 35Q80 35L60 82C22 92D50 PDFBibTeX XMLCite \textit{P. Degond} and \textit{S. Motsch}, Math. Models Methods Appl. Sci. 18, 1193--1215 (2008; Zbl 1157.35492) Full Text: DOI arXiv
Itaya, Akihiko; Ukai, Seiji On the scrambled set of the logistic map with diffusion. (English) Zbl 1010.37052 Math. Models Methods Appl. Sci. 10, No. 2, 287-305 (2000). MSC: 37L25 PDFBibTeX XMLCite \textit{A. Itaya} and \textit{S. Ukai}, Math. Models Methods Appl. Sci. 10, No. 2, 287--305 (2000; Zbl 1010.37052) Full Text: DOI