Мақаланы E-mail арқылы жіберу Attractors in models of porous media flow
- Авторлар: Akhmetzyanov A.V.1, Kushner A.G.1,2, Lychagin V.V.1,3
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Мекемелер:
- Trapeznikov Institute of Control Sciences
- Faculty of Physics
- University of Tromsø
- Шығарылым: Том 95, № 1 (2017)
- Беттер: 72-75
- Бөлім: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/224803
- DOI: https://doi.org/10.1134/S1064562417010239
- ID: 224803
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Аннотация
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.
Авторлар туралы
A. Akhmetzyanov
Trapeznikov Institute of Control Sciences
Хат алмасуға жауапты Автор.
Email: atlas@ipu.ru
Ресей, Moscow, 117997
A. Kushner
Trapeznikov Institute of Control Sciences; Faculty of Physics
Email: atlas@ipu.ru
Ресей, Moscow, 117997; Moscow, 119992
V. Lychagin
Trapeznikov Institute of Control Sciences; University of Tromsø
Email: atlas@ipu.ru
Ресей, Moscow, 117997; Tromsø
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