Second-Kind Equilibrium States of the Kuramoto–Sivashinsky Equation with Homogeneous Neumann Boundary Conditions

被引：0

作者：

Sekatskaya A.V. ^{[1
]}

机构：

[1] Yaroslavl State University, Yaroslavl

来源：

Journal of Mathematical Sciences | 2022年 / 262卷 / 6期

关键词：

37L10; 37L25; 37L65; boundary-value problem; computer analysis; equilibrium; Galerkin method; Kuramoto–Sivashinsky equation; stability;

D O I：

10.1007/s10958-022-05863-3

中图分类号：

学科分类号：

摘要：

In this paper, we consider the boundary-value problem for the Kuramoto–Sivashinsky equation with homogeneous Neumann conditions. The problem on the existence and stability of second-kind equilibrium states was studied in two ways: by the Galerkin method and by methods of the modern theory of infinite-dimensional dynamical systems. Some differences in results obtained are indicated. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.

引用

页码：844 / 854

页数：10

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