Green's functions, linear second-order differential equations, and one-dimensional diffusion advection models
Green's functions, linear second-order differential equations, and one-dimensional diffusion advection models
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格林函数、线性二阶微分方程和一维扩散平流模型
DOI：
10.1111/sapm.12384
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发表时间：
2021
影响因子：
2.7
通讯作者：
Wu Jianhong
中科院分区：
文献类型：
--
作者：
Yu Xiao;Lan Kunquan;Wu Jianhong
推导了具有一般分离边界条件（BC）的线性二阶常微分方程的格林函数，其中BC中使用的参数允许取负值。以前的结果只考虑了非负参数，这种分离的BC出现在通常的托马斯-费米BC中。获得了可能具有负参数的格林函数的性质，并且这些性质是新的。作为应用，我们研究化学反应器理论和数学生物学中出现的一维扩散平流模型的稳态解。我们证明，一维扩散平流模型产生的 BC 包含负参数。
Green's functions to linear second‐order ordinary differential equations with general separated boundary conditions (BCs) are derived, where the parameters used in the BCs are allowed to take negative values. Previous results only considered the nonnegative parameters and such separated BCs arise in the usual Thomas–Fermi BCs. Properties of the Green's functions with possibly negative parameters are obtained and are new. As applications, we study the steady‐state solutions of the one‐dimensional diffusion advection models arising in chemical reactor theory and mathematical biology. We exhibit that the BCs arising from the one‐ dimensional diffusion advection models contain negative parameters.