一类热扩散方程组的空间衰减估计
Spatial Decay Estimates for a Class of Thermo-Diffusion Equations
DOI: 10.12677/PM.2020.104034, PDF,    科研立项经费支持
作者: 蔡梓涵：广东金融学院金融数学与统计学院，广东 广州
关键词: 热扩散微分方程；空间衰减估计；Saint-Venant原则；Thermo-Diffusion Equations； Spatial Decay Estimates； Sait-Venent Principle
摘要: 本文研究了一类热扩散方程组的空间衰减估计，应用一阶微分不等式的方法，建立了半无限管内热扩散线性微分方程组的解的空间指数衰减估计。为了使估计明确，还导出了总能量的界。该结果可看作Saint-Venant原则在热扩散方程组中的应用。
Abstract: In this paper, we study the spatial decay estimates for a class of thermo-diffusion equations. Using the technique of a first-order differential inequality, the exponential decay estimates for the linear differential equations of thermodiffusion in a semi-infinite pipe were established. To make the estimate explicit, the bound for the total energy was also derived.
文章引用：蔡梓涵. 一类热扩散方程组的空间衰减估计[J]. 理论数学, 2020, 10(4): 265-271. https://doi.org/10.12677/PM.2020.104034

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