New Trends in Crowd Dynamics and Traffic Flow
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Organizer(s): |
Name:
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Affiliation:
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Country:
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Noureddine igbida
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Unniveristy of Limoges
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France
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Karami Fahd
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University of Cady Ayyad
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Morocco
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El Mahdi Erraji
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University of Cady Ayyad
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Morocco
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Introduction:
| | This session focuses on recent advances in the mathematical modeling, analysis, and numerical treatment of crowd and traffic dynamics, ranging from single-population models to multi-population systems with complex interactions.
Topics include continuum models based on transport and nonlinear diffusion equations, second-order and congestion-aware formulations, and variational approaches such as gradient flows, minimizing movement schemes, and generalized minimal-flow principles. Particular attention will be given to the incorporation of physical and geometric constraints, including density saturation, capacity limits, obstacles, and anisotropic or directed motion.
From an analytical perspective, contributions addressing existence, stability, and qualitative properties of solutions, as well as the interplay between Eulerian and Lagrangian descriptions, are especially welcome. Extensions to multi-population settings—capturing segregation, competition for space, and heterogeneous behaviors—will also be highlighted, together with their associated mathematical challenges.
Overall, the session aims to provide a coherent overview of current mathematical developments in the study of collective motion and mobility systems, bridging modeling, analysis, and applications.
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