TITLE:
Continuous Dependence for the Linear Differential Equations of Thermo-Diffusion
AUTHORS:
Jincheng Shi
KEYWORDS:
Differential Equations of Thermo-Diffusion, Structural Stability, Continuous Dependence
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.8 No.7,
July
15,
2020
ABSTRACT: 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.