Fischer, Michael; Kanzler, Laura; Schmeiser, Christian One-dimensional short-range nearest-neighbor interaction and its nonlinear diffusion limit. (English) Zbl 07802044 SIAM J. Appl. Math. 84, No. 1, 1-18 (2024). MSC: 82C22 35R37 35K55 92C15 PDFBibTeX XMLCite \textit{M. Fischer} et al., SIAM J. Appl. Math. 84, No. 1, 1--18 (2024; Zbl 07802044) Full Text: DOI arXiv
Degond, Pierre; Pulvirenti, Mario; Rossi, Stefano Propagation of chaos for topological interactions by a coupling technique. (English) Zbl 07799905 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 3, 641-655 (2023). MSC: 35Q92 92D50 92C15 70K55 82C22 PDFBibTeX XMLCite \textit{P. Degond} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 34, No. 3, 641--655 (2023; Zbl 07799905) Full Text: DOI arXiv
Chaintron, Louis-Pierre; Diez, Antoine Propagation of chaos: a review of models, methods and applications. II: Applications. (English) Zbl 1496.82017 Kinet. Relat. Models 15, No. 6, 1017-1173 (2022). MSC: 82C22 82C40 35Q70 65C35 92-10 PDFBibTeX XMLCite \textit{L.-P. Chaintron} and \textit{A. Diez}, Kinet. Relat. Models 15, No. 6, 1017--1173 (2022; Zbl 1496.82017) Full Text: DOI arXiv
Lear, Daniel; Reynolds, David N.; Shvydkoy, Roman Global solutions to multi-dimensional topological Euler alignment systems. (English) Zbl 1485.92181 Ann. PDE 8, No. 1, Paper No. 1, 43 p. (2022). MSC: 92D50 35Q35 PDFBibTeX XMLCite \textit{D. Lear} et al., Ann. PDE 8, No. 1, Paper No. 1, 43 p. (2022; Zbl 1485.92181) Full Text: DOI arXiv
Albi, Giacomo; Ferrarese, Federica; Segala, Chiara Optimized leaders strategies for crowd evacuation in unknown environments with multiple exits. (English) Zbl 1513.76032 Bellomo, Nicola (ed.) et al., Crowd dynamics. Volume 3. Modeling and social applications in the time of COVID-19. Cham: Birkhäuser. Model. Simul. Sci. Eng. Technol., 97-131 (2021). MSC: 76A30 90B20 PDFBibTeX XMLCite \textit{G. Albi} et al., in: Crowd dynamics. Volume 3. Modeling and social applications in the time of COVID-19. Cham: Birkhäuser. 97--131 (2021; Zbl 1513.76032) Full Text: DOI arXiv
Eftimie, R. The evolution of communication mechanisms in self-organised ecological aggregations: impact on pattern formation. (English) Zbl 1457.92187 Math. Models Methods Appl. Sci. 30, No. 10, 1917-1934 (2020). Reviewer: Fatima T. Adylova (Tashkent) MSC: 92D40 92D50 92C15 PDFBibTeX XMLCite \textit{R. Eftimie}, Math. Models Methods Appl. Sci. 30, No. 10, 1917--1934 (2020; Zbl 1457.92187) Full Text: DOI
Shvydkoy, Roman; Tadmor, Eitan Topologically based fractional diffusion and emergent dynamics with short-range interactions. (English) Zbl 1453.92371 SIAM J. Math. Anal. 52, No. 6, 5792-5839 (2020). MSC: 92D50 35Q92 PDFBibTeX XMLCite \textit{R. Shvydkoy} and \textit{E. Tadmor}, SIAM J. Math. Anal. 52, No. 6, 5792--5839 (2020; Zbl 1453.92371) Full Text: DOI arXiv
Reynolds, David N.; Shvydkoy, Roman Local well-posedness of the topological Euler alignment models of collective behavior. (English) Zbl 1451.92350 Nonlinearity 33, No. 10, 5176-5214 (2020). MSC: 92D50 54H99 PDFBibTeX XMLCite \textit{D. N. Reynolds} and \textit{R. Shvydkoy}, Nonlinearity 33, No. 10, 5176--5214 (2020; Zbl 1451.92350) Full Text: DOI arXiv
Degond, P.; Pulvirenti, M. Propagation of chaos for topological interactions. (English) Zbl 1456.60254 Ann. Appl. Probab. 29, No. 4, 2594-2612 (2019). MSC: 60K35 70K45 82B40 PDFBibTeX XMLCite \textit{P. Degond} and \textit{M. Pulvirenti}, Ann. Appl. Probab. 29, No. 4, 2594--2612 (2019; Zbl 1456.60254) Full Text: DOI arXiv Euclid
Cucker, Felipe; Dong, Jiu-Gang On flocks under switching directed interaction topologies. (English) Zbl 1405.93014 SIAM J. Appl. Math. 79, No. 1, 95-110 (2019). MSC: 93A14 93C15 93C30 05C20 PDFBibTeX XMLCite \textit{F. Cucker} and \textit{J.-G. Dong}, SIAM J. Appl. Math. 79, No. 1, 95--110 (2019; Zbl 1405.93014) Full Text: DOI
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