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

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

2 Citations (Scopus)

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
Publication status	Published - 2020 Sept 1

Bibliographical note

Publisher Copyright:
© American Institute of Mathematical Sciences.

All Science Journal Classification (ASJC) codes

Statistics and Probability
General Engineering
Computer Science Applications
Applied Mathematics

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10.3934/nhm.2020024

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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.

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KW - Weak solution

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A BGK kinetic model with local velocity alignment forces

Abstract

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All Science Journal Classification (ASJC) codes

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