Continuous Dependence for the Linear Differential Equations of Thermo-Diffusion

作     者：Jincheng Shi Jincheng Shi

作者机构：Huashang College Guangdong University of Finance & Economics Guangzhou China 

出 版 物：《Journal of Applied Mathematics and Physics》 (应用数学与应用物理（英文）)

年 卷 期：2020年第8卷第7期

页      面：1291-1303页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Differential Equations of Thermo-Diffusion Structural Stability Continuous Dependence 

摘      要：In this paper, we establish the structural stability for the linear differential equations of thermo-diffusion in a semi-infinite pipe flow. Using the technology of a second-order differential inequality, we prove the continuous dependence on the density ρ and the coefficient of thermal conductivity K. These results show that small changes for these coefficients can’t cause tremendous changes for the solutions.