Euler-type equations and commutators in singular and hyperbolic limits of kinetic Cucker-Smale models
David Poyato, Juan Soler
TL;DR
This paper derives and analyzes a compressible Euler-type equation with singular commutator from the hyperbolic limit of the kinetic Cucker-Smale model, providing insights into collective behavior in interacting systems.
Contribution
It introduces a novel Euler-type equation with singular commutator derived from the kinetic Cucker-Smale model's hyperbolic limit.
Findings
Derivation of the Euler-type equation with singular commutator
Analysis of the equation's properties in the hyperbolic limit
Insights into collective dynamics in interacting particle systems
Abstract
This paper deals with the derivation and analysis of a compressible Euler-type equation with singular commutator, which is derived from a hyperbolic limit of the kinetic description to the Cucker-Smale model of interacting individuals
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