Geodesic
On one model problem for the reaction-diffusion-advection equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 9, pp. 1548-1559

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The asymptotic behavior of the solution with boundary layers in the time-independent mathematical model of reaction-diffusion-advection arising when describing the distribution of greenhouse gases in the surface atmospheric layer is studied. On the basis of the asymptotic method of differential inequalities, the existence of a boundary-layer solution and its asymptotic Lyapunov stability as a steady-state solution of the corresponding parabolic problem is proven. One of the results of this work is the determination of the local domain of the attraction of a boundary-layer solution. 
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     author = {M. A. Davydova and S. A. Zakharova and N. T. Levashova},
     title = {On one model problem for the reaction-diffusion-advection equation},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1548--1559},
     publisher = {mathdoc},
     volume = {57},
     number = {9},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_9_a10/}
}
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M. A. Davydova; S. A. Zakharova; N. T. Levashova. On one model problem for the reaction-diffusion-advection equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 57 (2017) no. 9, pp. 1548-1559. http://geodesic.mathdoc.fr/item/ZVMMF_2017_57_9_a10/