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

• Iwasaki Satoru

  Osaka University

抄録

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.

収録刊行物

• Funkcialaj Ekvacioj

  Funkcialaj Ekvacioj 62 (1), 75-93, 2019

  日本数学会函数方程式論分科会

キーワード

• Attraction-repulsion chemotaxis model
• Non-autonomous problem
• Exponential attractors

詳細情報

• CRID: 1390282763115166720
• NII論文ID: 130007649863
• DOI: 10.1619/fesi.62.75
• ISSN: 05328721
• Web Site: https://www.jstage.jst.go.jp/article/fesi/62/1/62_75/_pdf
• 本文言語コード: en
• データソース種別:
  • JaLC
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可