一维自组织目标检测模型的指数吸引子

IF 0.7 4区数学 Q2 MATHEMATICS

Funkcialaj Ekvacioj-Serio Internacia Pub Date : 2019-01-01 DOI:10.1619/FESI.62.75

S. Iwasaki

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引用次数: 1

摘要

Okaie等人利用Keller-Segel模型对移动生物传感器网络进行目标跟踪。他们引入了一个数学公式并描述了数值结果。在本文中，我们将对他们的模型进行分析研究。首先构造模型方程的唯一局部解。其次，建立局部解的先验估计，得到全局解。最后，在构造一个非自治动力系统后，我们将证明指数吸引子的存在性。

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Exponential Attractor for One-Dimensional Self-Organizing Target-Detection Model

Okaie et al. [8] utilized the Keller-Segel model for mobile bionanosensor networks for target tracking. They introduced a mathematical formulation and described numerical results. In this paper, we would like to study analytically their model. We first construct a unique local solution for model equations. Second, we establish a priori estimates for local solutions to obtain a global solution. Finally, after constructing a non-autonomous dynamical system, we will show existence of exponential attractors.

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