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Continuous Dependence for the Linear Differential Equations of Thermo-Diffusion

Continuous Dependence for the Linear Differential Equations of Thermo-Diffusion
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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 <i><span style="white-space:nowrap;"><i>&#961;</i></span></i> and the coefficient of thermal conductivity <i>K</i>. These results show that small changes for these coefficients can’t cause tremendous changes for the solutions. 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 <i><span style="white-space:nowrap;"><i>&#961;</i></span></i> and the coefficient of thermal conductivity <i>K</i>. These results show that small changes for these coefficients can’t cause tremendous changes for the solutions.
作者 Jincheng Shi Jincheng Shi(Huashang College Guangdong University of Finance & Economics, Guangzhou, China)
出处 《Journal of Applied Mathematics and Physics》 2020年第7期1291-1303,共13页 应用数学与应用物理(英文)
关键词 Differential Equations of Thermo-Diffusion Structural Stability Continuous Dependence Differential Equations of Thermo-Diffusion Structural Stability Continuous Dependence
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