Article citationsMore>>

Payne, L.E. and Straughan, B. (1998) Structural Stability for the Darcy Equations of Flow in Porous Media. Proceedings of the Royal Society A, 454, 1691-1698.
https://doi.org/10.1098/rspa.1998.0227

has been cited by the following article:

• 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.