Email this article Attractors in models of porous media flow
- Authors: Akhmetzyanov A.V.1, Kushner A.G.1,2, Lychagin V.V.1,3
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Affiliations:
- Trapeznikov Institute of Control Sciences
- Faculty of Physics
- University of Tromsø
- Issue: Vol 95, No 1 (2017)
- Pages: 72-75
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224803
- DOI: https://doi.org/10.1134/S1064562417010239
- ID: 224803
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Abstract
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.
About the authors
A. V. Akhmetzyanov
Trapeznikov Institute of Control Sciences
Author for correspondence.
Email: atlas@ipu.ru
Russian Federation, Moscow, 117997
A. G. Kushner
Trapeznikov Institute of Control Sciences; Faculty of Physics
Email: atlas@ipu.ru
Russian Federation, Moscow, 117997; Moscow, 119992
V. V. Lychagin
Trapeznikov Institute of Control Sciences; University of Tromsø
Email: atlas@ipu.ru
Russian Federation, Moscow, 117997; Tromsø
