Flocking Hydrodynamics with External Potentials
نویسندگان
چکیده
منابع مشابه
Global Regularity of Two-dimensional Flocking Hydrodynamics
We study the systems of Euler equations which arise from agent-based dynamics driven by velocity alignment. It is known that smooth solutions of such systems must flock, namely — the large time behavior of the velocity field approaches a limiting “flocking” velocity. To address the question of global regularity, we derive sharp critical thresholds in the phase space of initial configuration whi...
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We study the large-time behaviour of Eulerian systems augmented with non-local alignment. Such systems arise as hydrodynamic descriptions of agent-based models for self-organized dynamics, e.g. Cucker & Smale (2007 IEEE Trans. Autom. Control 52, 852-862. (doi:10.1109/TAC.2007.895842)) and Motsch & Tadmor (2011 J. Stat. Phys. 144, 923-947. (doi:10.1007/s10955-011-0285-9)) models. We prove that, ...
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In this paper, we provide a dynamic graph theoretical framework for flocking in presence of multiple obstacles. In particular, we give formal definitions of nets and flocks as spatially induced graphs. We provide models of nets and flocks and discuss the realization/embedding issues related to structural nets and flocks. This allows task representation and execution for a network of agents call...
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ژورنال
عنوان ژورنال: Archive for Rational Mechanics and Analysis
سال: 2020
ISSN: 0003-9527,1432-0673
DOI: 10.1007/s00205-020-01544-0