Capuani, Rossana; Marigonda, Antonio; Quincampoix, Marc Set-driven evolution for multiagent system. (English) Zbl 07794715 J. Optim. Theory Appl. 200, No. 1, 280-307 (2024). MSC: 93A16 28B20 26E25 PDFBibTeX XMLCite \textit{R. Capuani} et al., J. Optim. Theory Appl. 200, No. 1, 280--307 (2024; Zbl 07794715) Full Text: DOI
Colavita, Michelangelo; Bouharguane, Afaf; Valenti, Andrea; Terral, Geoffrey; Sherwood, Mark W.; Lemercier, Clement E.; Gibergues, Fabien; Doubeck, Marion; Drago, Filippo; Marsicano, Giovanni; Iollo, Angelo; Massa, Federico Quantitative assessment of hippocampal network dynamics by combining voltage sensitive dye imaging and optimal transportation theory. (English) Zbl 1526.92029 MathS In Action 12, 117-134 (2023). MSC: 92C55 92B20 PDFBibTeX XMLCite \textit{M. Colavita} et al., MathS In Action 12, 117--134 (2023; Zbl 1526.92029) Full Text: DOI
Adly, Samir; Thieu, Nguyen Nang; Yen, Nguyen Dong Convex and nonconvex sweeping processes with velocity constraints: well-posedness and insights. (English) Zbl 07708060 Appl. Math. Optim. 88, No. 2, Paper No. 45, 33 p. (2023). MSC: 47H05 46N10 47H04 PDFBibTeX XMLCite \textit{S. Adly} et al., Appl. Math. Optim. 88, No. 2, Paper No. 45, 33 p. (2023; Zbl 07708060) Full Text: DOI
Lobo Pereira, Fernando; Khalil, Nathalie T. A maximum principle for a time-optimal bilevel sweeping control problem. (English) Zbl 1484.49044 J. Optim. Theory Appl. 192, No. 3, 1022-1051 (2022). MSC: 49K15 49K99 49J52 PDFBibTeX XMLCite \textit{F. Lobo Pereira} and \textit{N. T. Khalil}, J. Optim. Theory Appl. 192, No. 3, 1022--1051 (2022; Zbl 1484.49044) Full Text: DOI arXiv
Santambrogio, Filippo; Shim, Woojoo A Cucker-Smale inspired deterministic mean field game with velocity interactions. (English) Zbl 1475.92219 SIAM J. Control Optim. 59, No. 6, 4155-4187 (2021). MSC: 92D50 91C99 91A16 PDFBibTeX XMLCite \textit{F. Santambrogio} and \textit{W. Shim}, SIAM J. Control Optim. 59, No. 6, 4155--4187 (2021; Zbl 1475.92219) Full Text: DOI arXiv
Saïdi, Soumia Some results associated to first-order set-valued evolution problems with subdifferentials. (English) Zbl 1517.47119 J. Nonlinear Var. Anal. 5, No. 2, 227-250 (2021). MSC: 47J35 47J22 47H05 34A60 PDFBibTeX XMLCite \textit{S. Saïdi}, J. Nonlinear Var. Anal. 5, No. 2, 227--250 (2021; Zbl 1517.47119) Full Text: DOI
Le, Ba Khiet Existence of solutions for sweeping processes with local conditions. (English) Zbl 07232721 J. Convex Anal. 27, No. 3, 833-844 (2020). MSC: 47H05 46N10 47H04 PDFBibTeX XMLCite \textit{B. K. Le}, J. Convex Anal. 27, No. 3, 833--844 (2020; Zbl 07232721) Full Text: Link
Adly, Samir; Haddad, Tahar On evolution quasi-variational inequalities and implicit state-dependent sweeping processes. (English) Zbl 1439.49025 Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1791-1801 (2020). MSC: 49J52 34A60 49J40 47J20 34G25 PDFBibTeX XMLCite \textit{S. Adly} and \textit{T. Haddad}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 6, 1791--1801 (2020; Zbl 1439.49025) Full Text: DOI
Recupero, Vincenzo Convex valued geodesics and applications to sweeping processes with bounded retraction. (English) Zbl 1444.34075 J. Convex Anal. 27, No. 2, 535-556 (2020). Reviewer: Daniel C. Biles (Nashville) MSC: 34G25 34A60 47J20 PDFBibTeX XMLCite \textit{V. Recupero}, J. Convex Anal. 27, No. 2, 535--556 (2020; Zbl 1444.34075) Full Text: arXiv Link
Bonnet, Benoît; Rossi, Francesco The Pontryagin Maximum Principle in the Wasserstein space. (English) Zbl 1404.49016 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 11, 36 p. (2019). MSC: 49K45 49K27 93E20 58E25 93B27 49J52 PDFBibTeX XMLCite \textit{B. Bonnet} and \textit{F. Rossi}, Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 11, 36 p. (2019; Zbl 1404.49016) Full Text: DOI arXiv
Mordukhovich, Boris S. Invited paper: variational analysis and optimization of sweeping processes with controlled moving sets. (English) Zbl 1476.49004 Rev. Invest. Oper. 39, No. 3, 283-302 (2018). MSC: 49J15 90C39 49M25 PDFBibTeX XMLCite \textit{B. S. Mordukhovich}, Rev. Invest. Oper. 39, No. 3, 283--302 (2018; Zbl 1476.49004) Full Text: Link
Kamenskii, Mikhail; Makarenkov, Oleg; Niwanthi Wadippuli, Lakmi; Raynaud de Fitte, Paul Global stability of almost periodic solutions to monotone sweeping processes and their response to non-monotone perturbations. (English) Zbl 1412.34075 Nonlinear Anal., Hybrid Syst. 30, 213-224 (2018). Reviewer: Aurelian Cernea (Bucharest) MSC: 34A60 34C27 34D23 34C29 34D10 PDFBibTeX XMLCite \textit{M. Kamenskii} et al., Nonlinear Anal., Hybrid Syst. 30, 213--224 (2018; Zbl 1412.34075) Full Text: DOI arXiv
Santambrogio, Filippo Crowd motion and evolution PDEs under density constraints. (English. French summary) Zbl 1414.35230 ESAIM, Proc. Surv. 64, 137-157 (2018). Reviewer: Rodica Luca (Iaşi) MSC: 35Q90 90B20 35A01 35A02 PDFBibTeX XMLCite \textit{F. Santambrogio}, ESAIM, Proc. Surv. 64, 137--157 (2018; Zbl 1414.35230) Full Text: DOI
Makarenkov, Oleg; Niwanthi Wadippuli Achchige, Lakmi Bifurcations of finite-time stable limit cycles from focus boundary equilibria in impacting systems, Filippov systems, and sweeping processes. (English) Zbl 1401.34047 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 10, Article ID 1850126, 13 p. (2018). MSC: 34C23 34A36 34A60 34C05 34D20 PDFBibTeX XMLCite \textit{O. Makarenkov} and \textit{L. Niwanthi Wadippuli Achchige}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 10, Article ID 1850126, 13 p. (2018; Zbl 1401.34047) Full Text: DOI arXiv
Recupero, Vincenzo; Santambrogio, Filippo Sweeping processes with prescribed behavior on jumps. (English) Zbl 1435.34063 Ann. Mat. Pura Appl. (4) 197, No. 4, 1311-1332 (2018). Reviewer: Shahram Saeidi (Sanandaj) MSC: 34G25 49J52 47J20 34A36 PDFBibTeX XMLCite \textit{V. Recupero} and \textit{F. Santambrogio}, Ann. Mat. Pura Appl. (4) 197, No. 4, 1311--1332 (2018; Zbl 1435.34063) Full Text: DOI arXiv
Colombi, Annachiara; Scianna, Marco; Alaia, Alessandro A discrete mathematical model for the dynamics of a crowd of gazing pedestrians with and without an evolving environmental awareness. (English) Zbl 1373.90036 Comput. Appl. Math. 36, No. 2, 1113-1141 (2017). MSC: 90B20 91B10 PDFBibTeX XMLCite \textit{A. Colombi} et al., Comput. Appl. Math. 36, No. 2, 1113--1141 (2017; Zbl 1373.90036) Full Text: DOI Link
Cao, Tan H.; Mordukhovich, Boris S. Optimality conditions for a controlled sweeping process with applications to the crowd motion model. (English) Zbl 1364.49035 Discrete Contin. Dyn. Syst., Ser. B 22, No. 2, 267-306 (2017). MSC: 49M05 49K99 47J40 90C30 49J53 PDFBibTeX XMLCite \textit{T. H. Cao} and \textit{B. S. Mordukhovich}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 2, 267--306 (2017; Zbl 1364.49035) Full Text: DOI arXiv
Santambrogio, Filippo {Euclidean, metric, and Wasserstein} gradient flows: an overview. (English) Zbl 1369.34084 Bull. Math. Sci. 7, No. 1, 87-154 (2017). Reviewer: Alpár R. Mészáros (Los Angeles) MSC: 34G25 35K05 49J45 49Q20 49M29 54E35 PDFBibTeX XMLCite \textit{F. Santambrogio}, Bull. Math. Sci. 7, No. 1, 87--154 (2017; Zbl 1369.34084) Full Text: DOI arXiv
Cao, Tan H.; Mordukhovich, Boris S. Optimal control of a perturbed sweeping process via discrete approximations. (English) Zbl 1354.49062 Discrete Contin. Dyn. Syst., Ser. B 21, No. 10, 3331-3358 (2016). MSC: 49M25 49J53 49J52 49K21 34A60 47J40 90C30 PDFBibTeX XMLCite \textit{T. H. Cao} and \textit{B. S. Mordukhovich}, Discrete Contin. Dyn. Syst., Ser. B 21, No. 10, 3331--3358 (2016; Zbl 1354.49062) Full Text: DOI arXiv
Goldsztein, Guillermo H. Particles moving around a two-lane circular track in both directions. Avoiding collisions leads to self-organization. (English) Zbl 1383.82035 SIAM J. Appl. Math. 76, No. 4, 1433-1445 (2016). MSC: 82C22 90B20 91B80 PDFBibTeX XMLCite \textit{G. H. Goldsztein}, SIAM J. Appl. Math. 76, No. 4, 1433--1445 (2016; Zbl 1383.82035) Full Text: DOI
Adly, Samir; Nacry, Florent; Thibault, Lionel Preservation of prox-regularity of sets with applications to constrained optimization. (English) Zbl 1333.49031 SIAM J. Optim. 26, No. 1, 448-473 (2016). MSC: 49J52 49J53 90C30 26B25 PDFBibTeX XMLCite \textit{S. Adly} et al., SIAM J. Optim. 26, No. 1, 448--473 (2016; Zbl 1333.49031) Full Text: DOI
Faure, Sylvain; Maury, Bertrand Crowd motion from the granular standpoint. (English) Zbl 1368.70007 Math. Models Methods Appl. Sci. 25, No. 3, 463-493 (2015). MSC: 70E50 70E55 34D20 92D50 35L65 90B20 PDFBibTeX XMLCite \textit{S. Faure} and \textit{B. Maury}, Math. Models Methods Appl. Sci. 25, No. 3, 463--493 (2015; Zbl 1368.70007) Full Text: DOI
Adly, Samir; Haddad, Tahar; Thibault, Lionel Convex sweeping process in the framework of measure differential inclusions and evolution variational inequalities. (English) Zbl 1308.49013 Math. Program. 148, No. 1-2 (B), 5-47 (2014). Reviewer: Alfred Göpfert (Halle) MSC: 49J53 49J40 34G25 58E35 PDFBibTeX XMLCite \textit{S. Adly} et al., Math. Program. 148, No. 1--2 (B), 5--47 (2014; Zbl 1308.49013) Full Text: DOI HAL
Mazade, Marc; Thibault, Lionel Regularization of differential variational inequalities with locally prox-regular sets. (English) Zbl 1276.34053 Math. Program. 139, No. 1-2 (B), 243-269 (2013). Reviewer: Aurelian Cernea (Bucharest) MSC: 34G25 49J52 49J20 58E35 PDFBibTeX XMLCite \textit{M. Mazade} and \textit{L. Thibault}, Math. Program. 139, No. 1--2 (B), 243--269 (2013; Zbl 1276.34053) Full Text: DOI
Dogbe, Christian On the modelling of crowd dynamics by generalized kinetic models. (English) Zbl 1229.90035 J. Math. Anal. Appl. 387, No. 2, 512-532 (2012). MSC: 90B20 82C40 PDFBibTeX XMLCite \textit{C. Dogbe}, J. Math. Anal. Appl. 387, No. 2, 512--532 (2012; Zbl 1229.90035) Full Text: DOI
Bernicot, Frédéric; Venel, Juliette Stochastic perturbation of sweeping process and a convergence result for an associated numerical scheme. (English) Zbl 1226.34014 J. Differ. Equations 251, No. 4-5, 1195-1224 (2011). Reviewer: Daniel C. Biles (Nashville) MSC: 34A60 60H10 34D10 34F05 65C30 65L05 65L20 PDFBibTeX XMLCite \textit{F. Bernicot} and \textit{J. Venel}, J. Differ. Equations 251, No. 4--5, 1195--1224 (2011; Zbl 1226.34014) Full Text: DOI
Iollo, Angelo; Lombardi, Damiano A Lagrangian scheme for the solution of the optimal mass transfer problem. (English) Zbl 1218.65064 J. Comput. Phys. 230, No. 9, 3430-3442 (2011). MSC: 65K10 49J20 49L20 35F21 PDFBibTeX XMLCite \textit{A. Iollo} and \textit{D. Lombardi}, J. Comput. Phys. 230, No. 9, 3430--3442 (2011; Zbl 1218.65064) Full Text: DOI
Venel, Juliette A numerical scheme for a class of sweeping processes. (English) Zbl 1222.65064 Numer. Math. 118, No. 2, 367-400 (2011). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L05 65L20 34A60 PDFBibTeX XMLCite \textit{J. Venel}, Numer. Math. 118, No. 2, 367--400 (2011; Zbl 1222.65064) Full Text: DOI arXiv
Bruno, Luca; Tosin, Andrea; Tricerri, Paolo; Venuti, Fiammetta Non-local first-order modelling of crowd dynamics: a multidimensional framework with applications. (English) Zbl 1202.90058 Appl. Math. Modelling 35, No. 1, 426-445 (2011). MSC: 90B20 82C70 PDFBibTeX XMLCite \textit{L. Bruno} et al., Appl. Math. Modelling 35, No. 1, 426--445 (2011; Zbl 1202.90058) Full Text: DOI arXiv
Cristiani, Emiliano; Piccoli, Benedetto; Tosin, Andrea Modeling self-organization in pedestrians and animal groups from macroscopic and microscopic viewpoints. (English) Zbl 1211.91214 Naldi, Giovanni (ed.) et al., Mathematical modeling of collective behavior in socio-economic and life sciences. Boston, MA: Birkhäuser (ISBN 978-0-8176-4945-6/hbk; 978-0-8176-4946-3/ebook). Modeling and Simulation in Science, Engineering and Technology, 337-364 (2010). MSC: 91D99 92D50 82D99 PDFBibTeX XMLCite \textit{E. Cristiani} et al., in: Mathematical modeling of collective behavior in socio-economic and life sciences. Boston, MA: Birkhäuser. 337--364 (2010; Zbl 1211.91214) Full Text: DOI arXiv
Maury, Bertrand; Roudneff-Chupin, Aude; Santambrogio, Filippo A macroscopic crowd motion model of gradient flow type. (English) Zbl 1223.35116 Math. Models Methods Appl. Sci. 20, No. 10, 1787-1821 (2010). Reviewer: Giuseppe Buttazzo (Pisa) MSC: 35F31 34G25 49J45 90B20 PDFBibTeX XMLCite \textit{B. Maury} et al., Math. Models Methods Appl. Sci. 20, No. 10, 1787--1821 (2010; Zbl 1223.35116) Full Text: DOI arXiv
Degond, Pierre; Navoret, Laurent; Bon, Richard; Sanchez, David Congestion in a macroscopic model of self-driven particles modeling gregariousness. (English) Zbl 1187.82086 J. Stat. Phys. 138, No. 1-3, 85-125 (2010). MSC: 82C22 92D50 PDFBibTeX XMLCite \textit{P. Degond} et al., J. Stat. Phys. 138, No. 1--3, 85--125 (2010; Zbl 1187.82086) Full Text: DOI arXiv