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Gawinecki, J.A. and Sierpiński, K. (1982) Existence, Uniqueness and Regularity of the Solution of the First Boundary-Initial Value Problem for the Equation of Thermodiffusion in a Solid Body. Bulletin of the Polish Academy of Sciences: Technical Sciences, 30, 541-547.

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.