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...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>ρ</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.展开更多
文摘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>ρ</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.