一类非线性反应扩散系统

A Class of Nonlinear Reaction-Diffusion System

用非线性分析的方法,研究一类带混合非齐次边界条件的肺动脉毛细血管中血红蛋白的氧化反应扩散系统,并引进局部上、下解的概念,借助构造局部上、下解,在任一有限时间区间内得到解的存在性,从而证明了解是整体存在的.

This paper discusses a class of reaction-diffusion system of the oxygenation of hemoglobin in a pulmonary capillary with the mixed nonhomogeneous boundary conditions, and introduces the concept of local upper-lower solutions; by constructing the load upper-lower solutions, obtains the existence of the solution in the arbitrary limted time interval, and proves the global existence of the solutions.