Dynamical system for animal coat pattern model

研究成果: ジャーナルへの寄稿記事

抄録

We construct a dynamical system for a reaction–diffusion system due to Murray, which relies on the use of the Thomas system nonlinearities and describes the formation of animal coat patterns. First, we prove existence and uniqueness of global positive strong solutions to the system by using semigroup methods. Second, we show that the solutions are continuously dependent on initial values. Third, we show that the dynamical system enjoys exponential attractors whose fractal dimensions can be estimated. Finally, we give a numerical example.

元の言語英語
ページ(範囲)525-564
ページ数40
ジャーナルJournal of Elliptic and Parabolic Equations
4
発行部数2
DOI
出版物ステータス出版済み - 12 1 2018

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Animals
Dynamical systems
Dynamical system
Exponential Attractors
Fractal dimension
Strong Solution
Reaction-diffusion System
Fractal Dimension
Existence and Uniqueness
Semigroup
Nonlinearity
Numerical Examples
Dependent
Model

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Numerical Analysis

これを引用

Dynamical system for animal coat pattern model. / Ta, Ton Viet.

:: Journal of Elliptic and Parabolic Equations, 巻 4, 番号 2, 01.12.2018, p. 525-564.

研究成果: ジャーナルへの寄稿記事

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