A BGK kinetic model with local velocity alignment forces

Young Pil Choi; Seok Bae Yun

doi:10.3934/nhm.2020024

A BGK kinetic model with local velocity alignment forces

Young Pil Choi
, Seok Bae Yun

Department of Mathematics

Yonsei University

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

3 Scopus citations

Abstract

The global Cauchy problem for a local alignment model with a relaxational inter-particle interaction operator is considered. More precisely, we consider the global-in-time existence of weak solutions of BGK model with local velocity-alignment term when the initial data have finite mass, momentum, energy, and entropy. The analysis involves weak/strong compactness based on the velocity moments estimates and several velocity-weighted L∞ estimates.

Original language	English
Pages (from-to)	389-404
Number of pages	16
Journal	Networks and Heterogeneous Media
Volume	15
Issue number	3
DOIs	https://doi.org/10.3934/nhm.2020024
State	Published - 1 Sep 2020

Keywords

BGK model of boltzmann equation
Kinetic flocking model
Weak solution

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10.3934/nhm.2020024

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title = "A BGK kinetic model with local velocity alignment forces",

abstract = "The global Cauchy problem for a local alignment model with a relaxational inter-particle interaction operator is considered. More precisely, we consider the global-in-time existence of weak solutions of BGK model with local velocity-alignment term when the initial data have finite mass, momentum, energy, and entropy. The analysis involves weak/strong compactness based on the velocity moments estimates and several velocity-weighted L∞ estimates.",

keywords = "BGK model of boltzmann equation, Kinetic flocking model, Weak solution",

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AU - Yun, Seok Bae

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Y1 - 2020/9/1

N2 - The global Cauchy problem for a local alignment model with a relaxational inter-particle interaction operator is considered. More precisely, we consider the global-in-time existence of weak solutions of BGK model with local velocity-alignment term when the initial data have finite mass, momentum, energy, and entropy. The analysis involves weak/strong compactness based on the velocity moments estimates and several velocity-weighted L∞ estimates.

AB - The global Cauchy problem for a local alignment model with a relaxational inter-particle interaction operator is considered. More precisely, we consider the global-in-time existence of weak solutions of BGK model with local velocity-alignment term when the initial data have finite mass, momentum, energy, and entropy. The analysis involves weak/strong compactness based on the velocity moments estimates and several velocity-weighted L∞ estimates.

KW - BGK model of boltzmann equation

KW - Kinetic flocking model

KW - Weak solution

UR - https://www.scopus.com/pages/publications/85091132261

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DO - 10.3934/nhm.2020024

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VL - 15

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IS - 3

ER -

A BGK kinetic model with local velocity alignment forces

Abstract

Keywords

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