Uniform-in-time bound for kinetic flocking models

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Abstract

In this paper, we provide a uniform-in-time bound of the spatial density of kinetic flocking models, in particular, kinetic Cucker–Smale type equations, in all dimensions. By a careful analysis of the structure of the main equations, under certain assumptions on the initial data and the communication weight function, we provide the uniform-in-time bound of the spatial density.

Original languageEnglish
Article number106164
JournalApplied Mathematics Letters
Volume103
DOIs
Publication statusPublished - 2020 May

Bibliographical note

Publisher Copyright:
© 2019 Elsevier Ltd

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

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