广东工业大学学报 ›› 2018, Vol. 35 ›› Issue (05): 45-50.doi: 10.12052/gdutxb.170178

• 综合研究 • 上一篇    下一篇

视网膜氧分布与脑红蛋白作用模型解的存在唯一性

陈美癸, 卫雪梅   

  1. 广东工业大学 应用数学学院, 广东 广州 510520
  • 收稿日期:2018-01-02 出版日期:2018-07-10 发布日期:2018-07-18
  • 通信作者: 卫雪梅(1972-),女,教授,主要研究方向为偏微分方程.E-mail:wxm_gdut@163.com E-mail:wxm_gdut@163.com
  • 作者简介:陈美癸(1993-),女,硕士研究生,主要研究方向为偏微分方程.
  • 基金资助:
    国家自然科学基金资助项目（11101095）；广东省高校特色创新类项目（2016KTSCX028）；广东省高层次人才项目（2014011）；研究生教育创新项目（2014QTLXXM17）

Existence and Uniqueness of Global Solution for a Model of Retinal Oxygen Distribution and the Role of Neuroglobin

Chen Mei-gui, Wei Xue-mei   

  1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China
  • Received:2018-01-02 Online:2018-07-10 Published:2018-07-18

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摘要： 研究视网膜中氧分布与脑红蛋白作用的数学模型，该模型包含了4组相互耦合的反应扩散方程组.先通过运用Banach不动点定理，抛物型方程的Lp估计证明了模型的局部解的存在唯一性，然后利用延拓方法得到了整体解的存在唯一性.

关键词: 视网膜, 氧分布, 局部解, 整体解, 存在唯一性

Abstract: A study is conducted on a mathematical model of retina oxygen distribution and the role of neuroglobin, which contains four sets of mutually coupled reaction diffusion equations. The existence and uniqueness of the model in the local solution is proved by using the Banach Fixed Point Theorem, applying Lp-theory of parabolic equation. And then the existence and uniqueness of the global solution is obtained by using the extension method.

Key words: retina, oxygen distribution, local solution, global solution, existence and uniqueness

中图分类号: 

  • O175
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