A rigorous derivation from the kinetic Cucker-Smale model to the pressureless Euler system with nonlocal alignment

DOI10.2140/apde.2019.12.843zbMath1405.35206arXiv1702.08087OpenAlexW2593220887WikidataQ112631900 ScholiaQ112631900MaRDI QIDQ1625442

Moon-Jin Kang, Alessio Figalli

Publication date: 29 November 2018

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.08087

zbMATH Keywords

relative entropy hydrodynamic limit Wasserstein distance local alignment pressureless Euler system kinetic Cucker-Smale model

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Developmental biology, pattern formation (92C15) PDEs in connection with mechanics of particles and systems of particles (35Q70) Euler equations (35Q31) Kinematics of a particle (70B05)

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