具有局部速度相互作用的热力学卡克-斯马尔模型的成群分布

IF 1.2 4区数学 Q1 MATHEMATICS Acta Mathematica Scientia Pub Date : 2024-03-01 DOI:10.1007/s10473-024-0214-z

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引用次数: 0

摘要

摘要本文研究了具有局部速度相互作用的热力学 Cucker-Smale 模型的成群行为。利用连通随机矩阵的谱间隙以及对线性化系统扰动的精细估计，我们提供了一个充分的初始数据和模型参数框架，以保证成群行为的发生。此外，研究还表明该系统能以指数速度达成共识。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Flocking of a thermodynamic Cucker-Smale model with local velocity interactions

Abstract

In this paper, we study the flocking behavior of a thermodynamic Cucker–Smale model with local velocity interactions. Using the spectral gap of a connected stochastic matrix, together with an elaborate estimate on perturbations of a linearized system, we provide a sufficient framework in terms of initial data and model parameters to guarantee flocking. Moreover, it is shown that the system achieves a consensus at an exponential rate.

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来源期刊

Acta Mathematica Scientia 数学-数学

CiteScore

2.00

自引率

10.00%

发文量

2614

审稿时长

6 months

期刊介绍： Acta Mathematica Scientia was founded by Prof. Li Guoping (Lee Kwok Ping) in April 1981. The aim of Acta Mathematica Scientia is to present to the specialized readers important new achievements in the areas of mathematical sciences. The journal considers for publication of original research papers in all areas related to the frontier branches of mathematics with other science and technology.