Attractors in models of porous media flow
- 作者: Akhmetzyanov A.1, Kushner A.1,2, Lychagin V.1,3
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隶属关系:
- Trapeznikov Institute of Control Sciences
- Faculty of Physics
- University of Tromsø
- 期: 卷 95, 编号 1 (2017)
- 页面: 72-75
- 栏目: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224803
- DOI: https://doi.org/10.1134/S1064562417010239
- ID: 224803
如何引用文章
详细
A constructive method is proposed for finding finite-dimensional submanifolds in the space of smooth functions that are invariant with respect to flows defined by evolutionary partial differential equations. Conditions for the stability of these submanifolds are obtained. Such submanifolds are constructed for generalized Rapoport–Leas equations that arise in the theory of porous media flows.
作者简介
A. Akhmetzyanov
Trapeznikov Institute of Control Sciences
编辑信件的主要联系方式.
Email: atlas@ipu.ru
俄罗斯联邦, Moscow, 117997
A. Kushner
Trapeznikov Institute of Control Sciences; Faculty of Physics
Email: atlas@ipu.ru
俄罗斯联邦, Moscow, 117997; Moscow, 119992
V. Lychagin
Trapeznikov Institute of Control Sciences; University of Tromsø
Email: atlas@ipu.ru
俄罗斯联邦, Moscow, 117997; Tromsø