Finite-Dimensional Reduction of Systems of Nonlinear Diffusion Equations

被引：0

作者：

Romanov, A. V. ^{[1
]}

机构：

[1] Natl Res Univ Higher Sch Econ, Sch Appl Math, Moscow 123458, Russia

来源：

MATHEMATICAL NOTES | 2023年 / 113卷 / 1-2期

关键词：

nonlinear parabolic equations; finite-dimensional dynamics on an attractor; inertial manifold; INERTIAL MANIFOLDS; DYNAMICS;

D O I：

10.1134/S0001434623010297

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present a class of one-dimensional systems of nonlinear parabolic equations for which the phase dynamics at large time can be described by an ODE with a Lipschitz vector field in R-n. In the considered case of the Dirichlet boundary value problem, the sufficient conditions for a finite-dimensional reduction turn out to be much wider than the known conditions of this kind for a periodic situation.

引用

页码：267 / 273

页数：7

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