On the nature of local bifurcations of the Kuramoto-Sivashinsky equation in various domains
type: Item
instance of: scholarly article
title: On the nature of local bifurcations of the Kuramoto-Sivashinsky equation in various domains
zbMATH Open document ID: 1546.37122
author: A. V. Sekatskaya
published in: Journal of Mathematical Sciences (New York)
publication date: 2024-05-29T00:00:00Z
Mathematics Subject Classification ID: 37L10
Mathematics Subject Classification ID: 37L15
Mathematics Subject Classification ID: 37L65
Mathematics Subject Classification ID: 35B32
zbMATH DE Number: 7854772
zbMATH Keywords: Kuramoto-Sivashinsky equation
zbMATH Keywords: boundary-value problem
zbMATH Keywords: equilibrium state
zbMATH Keywords: stability
zbMATH Keywords: Galerkin method
zbMATH Keywords: computer analysis
MaRDI profile type: Publication
cites work: Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold
cites work: Stability of periodic Kuramoto-Sivashinsky waves
cites work: The attractors of two boundary value problems for a modifieded nonlinear telegraph equation
cites work: Formation of wavy nanostructures on the surface of flat substrates by ion bombardment
cites work: Bifurcations in a boundary-value problem of nanoelectronics
cites work: Local bifurcations in the periodic boundary value problem for the generalized Kuramoto-Sivashinsky equation
cites work: Bifurcation of the nanostructures induced by ion bombardment
cites work: On the influence of the geometric characteristics of the region on nanorelief structure
cites work: Chemical oscillations, waves, and turbulence
cites work: Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
cites work: Weak turbulence in periodic flows
DOI: 10.1007/S10958-024-07115-Y
description: scientific article; zbMATH DE number 7854772