Local exact controllability to the trajectories of the 1-D Kuramoto-Sivashinsky equation
type: Item
instance of: scholarly article
title: Local exact controllability to the trajectories of the 1-D Kuramoto-Sivashinsky equation
zbMATH Open document ID: 1209.93018
author: Eduardo Cerpa
author: A. Mercado
published in: Journal of Differential Equations
publication date: 2011-03-03T00:00:00Z
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 5860006
zbMATH Keywords: Kuramoto-Sivashinsky equation
zbMATH Keywords: null controllability
zbMATH Keywords: Carleman estimates
MaRDI profile type: Publication
full work available at URL: j.jde.2010.12.015
OpenAlex ID: W2051440501
cites work: Q4692740
cites work: Feedback control of the Kuramoto-Sivashinsky equation
cites work: Exact Controllability of a Nonlinear Korteweg–de Vries Equation on a Critical Spatial Domain
cites work: Null controllability and stabilization of the linear Kuramoto-Sivashinsky equation
cites work: Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain
cites work: Global stabilization of the Kuramoto-Sivashinsky equation via distributed output feedback control
cites work: Exact boundary controllability of a nonlinear KdV equation with critical lengths
cites work: Local exact controllability of the Navier-Stokes system
cites work: Some Controllability Results forthe N-Dimensional Navier--Stokes and Boussinesq systems with N-1 scalar controls
cites work: Inertial manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension
cites work: On the controllability of the fifth-order Korteweg-de Vries equation
cites work: Local exact controllability to the trajectories of the Boussinesq system via a fictitious control on the divergence equation
cites work: Local exact controllability to the trajectories of the Boussinesq system
cites work: Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions
cites work: Nonlinear instability at the interface between two viscous fluids
cites work: Robust control of the Kuramoto-Sivashinsky equation
cites work: Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation
cites work: Remarks on the Kuramoto-Sivashinsky equation
cites work: Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
cites work: Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
cites work: Null controllability of the complex Ginzburg-Landau equation
cites work: Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
DOI: 10.1016/J.JDE.2010.12.015
description: scientific article; zbMATH DE number 5860006