Euler-type equations and commutators in singular and hyperbolic limits of Cucker-Smale kinetic models

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URI: https://hdl.handle.net/10481/100557
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Author
Poyato Sánchez, Jesús David; Soler Vizcaino, Juan Segundo
Editorial
World Scientific
Materia
Cucker-Smale
 
Compressible Euler equations
 
Aggregation equations
 
Hyperbolic limits
 
Date
2017-05-19
Referencia bibliográfica
D. Poyato, J. Soler, Euler-type equations and commutators in singular and hyperbolic limits of Cucker-Smale kinetic models. Math. Mod. Meth. Appl. Sci. 27(6) (2017), 1089–1152. [https://doi.org/10.1142/S0218202517400103]
Sponsorship
MINECO-Feder MTM2014-53406-R, Junta de Andalucía FQM 954, Ministerio de Educación, Cultura y Deporte FPU2014/06304
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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Except where otherwise noted, this item's license is described as Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License