Attractors in Models of Porous Media Flow

被引：5
|
作者：
Akhmetzyanov, A. V. [1 ]
Kushner, A. G. [1 ,2 ]
Lychagin, V. V. [1 ,3 ]
机构：
[1] Russian Acad Sci, Trapeznikov Inst Control Sci, Moscow 117997, Russia
[2] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119992, Russia
[3] Univ Tromso, Tromso, Norway
来源：
DOKLADY MATHEMATICS | 2017年 / 95卷 / 01期
基金：
俄罗斯科学基金会;
关键词：
D O I：
10.1134/S1064562417010239
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：72 / 75
页数：4
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