Uniform-in-time bound for kinetic flocking models

Young Pil Choi

doi:10.1016/j.aml.2019.106164

Uniform-in-time bound for kinetic flocking models

Young Pil Choi

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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 language	English
Article number	106164
Journal	Applied Mathematics Letters
Volume	103
DOIs	https://doi.org/10.1016/j.aml.2019.106164
Publication status	Published - 2020 May

Bibliographical note

Funding Information:
The author was supported by National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2017R1C1B2012918) and POSCO Science Fellowship of POSCO TJ Park Foundation, Republic of Korea.

Funding Information:
The author was supported by National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2017R1C1B2012918 ) and POSCO Science Fellowship of POSCO TJ Park Foundation, Republic of Korea .

Publisher Copyright:
© 2019 Elsevier Ltd

All Science Journal Classification (ASJC) codes

Applied Mathematics

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10.1016/j.aml.2019.106164

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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.",

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PY - 2020/5

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N2 - 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.

AB - 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.

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JO - Applied Mathematics Letters

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ER -

Uniform-in-time bound for kinetic flocking models

Abstract

Bibliographical note

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