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Titlebook: Dynamics and Analysis of Alignment Models of Collective Behavior; Roman Shvydkoy Book 2021 Springer Nature Switzerland AG 2021 Cucker-Smal

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https://doi.org/10.1007/978-3-86226-841-2 famous pressureless Euler alignment system (EAS). The goal of this chapter is to provide a rigorous derivation of the EAS from the kinetic description under a special scaling of a strong local alignment force.
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https://doi.org/10.1007/978-3-86226-841-2stence. Those include solutions with small initial velocity fluctuations, small spectral gap of the symmetric velocity strain tensor, or special classes respecting symmetries of the system. This chapter presents a collection of such multidimensional resularity results along with relevant analytical techniques.
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Agent-Based Alignment Systems,n the settings of the discrete dynamics. The issue of collisions and the role of singular kernels are highlighted. The discussion will further expand to cover other variants of the Cucker-Smale system such as multi-flocks and multispecies.
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