Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation
type: Item
instance of: scholarly article
title: Existence and nonexistence of a global solution to the Kuramoto-Sivashinsky equation
zbMATH Open document ID: 1152.35101
DOI: 10.1134/S106456240802021X
published in: Doklady Mathematics
publication date: 2008-10-27T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5357838
zbMATH Keywords: initial boundary-value problems
zbMATH Keywords: Kuramoto-Sivashinsky equation
zbMATH Keywords: Dirichlet condition
zbMATH Keywords: Navier condition
zbMATH Keywords: blow-up
author: V. A. Galaktionov
author: Enzo Mitidieri
author: S. I. Pokhozhaev
MaRDI profile type: Publication
cites work: Finite-time singularity versus global regularity for hyper-viscous Hamilton–Jacobi-like equations
cites work: Uncertainty estimates andL2bounds for the Kuramoto–Sivashinsky equation
cites work: Trivial stationary solutions to the Kuramoto-Sivashinsky and certain nonlinear elliptic equations
cites work: New bounds for the Kuramoto‐Sivashinsky equation
cites work: Stability of Cellular States of the Kuramoto–Sivashinsky Equation
cites work: Travelling-waves of the Kuramoto-Sivashinsky, equation: period-multiplying bifurcations
cites work: Korteweg--de Vries and Kuramoto--Sivashinsky equations in bounded domains
cites work: A global attracting set for nonlocal Kuramoto–Sivashinsky equations arising in interfacial electrohydrodynamics
cites work: Dynamics for the stochastic nonlocal Kuramoto-Sivashinsky equation
cites work: The Well-Posedness of the Kuramoto–Sivashinsky Equation
description: scientific article; zbMATH DE number 5357838