动力学方程的扩展正交矩法稳定性分析

IF 2.2 2区数学 Q1 MATHEMATICS, APPLIED

SIAM Journal on Mathematical Analysis Pub Date : 2024-07-02 DOI:10.1137/23m157911x

Ruixi Zhang, Qian Huang, Wen-An Yong

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引用次数: 0

摘要

SIAM 数学分析期刊》，第 56 卷第 4 期，第 4687-4711 页，2024 年 8 月。摘要本文对一维 Bhatnagar-Gross-Krook 方程用扩展正交矩法 (EQMOM) 推导出的一类矩闭合系统进行了稳定性分析。该类系统以一个核函数为特征。为使 EQMOM 得出的矩系严格双曲，确定了核的充分条件。我们还研究了矩方法的可实现性。此外，我们还建立了充分和必要条件，使两节点系统定义明确、严格双曲，并保持动力学方程的耗散特性。

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Stability Analysis of an Extended Quadrature Method of Moments for Kinetic Equations

SIAM Journal on Mathematical Analysis, Volume 56, Issue 4, Page 4687-4711, August 2024.
Abstract. This paper performs a stability analysis of a class of moment closure systems derived with an extended quadrature method of moments (EQMOM) for the one-dimensional Bhatnagar–Gross–Krook equation. The class is characterized with a kernel function. A sufficient condition on the kernel is identified for the EQMOM-derived moment systems to be strictly hyperbolic. We also investigate the realizability of the moment method. Moreover, sufficient and necessary conditions are established for the two-node systems to be well-defined and strictly hyperbolic and to preserve the dissipation property of the kinetic equation.

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来源期刊

SIAM Journal on Mathematical Analysis 数学-应用数学

CiteScore

3.30

自引率

5.00%

发文量

175

审稿时长

12 months

期刊介绍： SIAM Journal on Mathematical Analysis (SIMA) features research articles of the highest quality employing innovative analytical techniques to treat problems in the natural sciences. Every paper has content that is primarily analytical and that employs mathematical methods in such areas as partial differential equations, the calculus of variations, functional analysis, approximation theory, harmonic or wavelet analysis, or dynamical systems. Additionally, every paper relates to a model for natural phenomena in such areas as fluid mechanics, materials science, quantum mechanics, biology, mathematical physics, or to the computational analysis of such phenomena. Submission of a manuscript to a SIAM journal is representation by the author that the manuscript has not been published or submitted simultaneously for publication elsewhere. Typical papers for SIMA do not exceed 35 journal pages. Substantial deviations from this page limit require that the referees, editor, and editor-in-chief be convinced that the increased length is both required by the subject matter and justified by the quality of the paper.