Asymptotic Behavior and Stability of a Stationary Boundary-Layer Solution to a Partially Dissipative System of Equations
- 作者: Butuzov V.F.1
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隶属关系:
- Faculty of Physics, Lomonosov Moscow State University
- 期: 卷 59, 编号 7 (2019)
- 页面: 1148-1171
- 栏目: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/180700
- DOI: https://doi.org/10.1134/S0965542519070145
- ID: 180700
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详细
A boundary value problem for a singularly perturbed partially dissipative system of two ordinary differential equations of the second and first order, respectively, is considered. An asymptotic expansion of its boundary-layer solution in a small parameter is constructed and justified. This solution is a stationary solution of the corresponding evolution system of equations with partial derivatives. The asymptotic stability of a stationary boundary-layer solution is proved, and its local basin of attraction is found.
作者简介
V. Butuzov
Faculty of Physics, Lomonosov Moscow State University
编辑信件的主要联系方式.
Email: butuzov@phys.msu.ru
俄罗斯联邦, Moscow, 119992
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