Using Asymptotic Analysis for Developing a One-Dimensional Substance Transport Model in the Case of Spatial Heterogeneity


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Resumo

We study a solution with an internal transition layer of a one-dimensional boundary value problem for the stationary reaction–advection–diffusion differential equation that arises in mathematical modeling of transport phenomena in the surface layer of the atmosphere in the case of non-uniform vegetation on the assumption of space isotropy along one of the horizontal axes and neutral atmospheric stratification. The parameters of the model at which a boundary value problem has a stable stationary solution with an internal transition layer localized near the boundary between different vegetation types are provided. The existence of such a solution and its local Lyapunov stability and uniqueness are proven. The results can be used for developing multidimensional substance transfer models in the case of a spatial heterogeneity.

Sobre autores

A. Kvas

Department of Physics

Email: natasha@npanalytica.ru
Rússia, Moscow, 119991

N. Levashova

Department of Physics

Autor responsável pela correspondência
Email: natasha@npanalytica.ru
Rússia, Moscow, 119991

A. Salnik

Department of Physics

Email: natasha@npanalytica.ru
Rússia, Moscow, 119991

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