Boundary linear stabilization of the modified generalized Korteweg-de Vries-Burgers equation

DOI10.1186/s13662-019-2387-7zbMath1485.35341OpenAlexW2947458096WikidataQ126868397 ScholiaQ126868397MaRDI QIDQ2114088

A. Alalabi, Nejib Smaoui, Boumediène Chentouf

Publication date: 14 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2387-7

zbMATH Keywords

boundary controlexponential stabilitywell-posednessmodified generalized Korteweg-de Vries-Burgers equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51)

Related Items (4)

A single bounded input‐feedback control to the generalized Korteweg–de Vries–Burgers–Kuramoto–Sivashinsky equation ⋮ Nonlinear adaptive boundary control of the modified generalized Korteweg-de Vries-Burgers equation ⋮ Well-posedness and stability results for the Korteweg-de Vries-Burgers and Kuramoto-Sivashinsky equations with infinite memory: a history approach ⋮ Modelling and nonlinear boundary stabilization of the modified generalized Korteweg-de Vries-Burgers equation

Cites Work

• The Korteweg-de Vries-Burgers hierarchy in fluid-filled elastic tubes
• Boundary and distributed control of the viscous Burgers equation
• Decay of solutions of some nonlinear wave equations
• Kuramoto-Sivashinsky equation in domains with moving boundaries
• Boundary control of the generalized Korteweg-de Vries-Burgers equation
• General decay of solutions of a wave equation with a boundary control of memory type
• Nonlinear boundary control of the unforced generalized Korteweg-de Vries-Burgers equation
• Functional analysis, Sobolev spaces and partial differential equations
• Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation
• Initial boundary-value problems for the Korteweg-de Vries equation
• On global stabilization of Burgers' equation by boundary control.
• Global existence and stability for wave equation of Kirchhoff type with memory condition at the boundary
• A boundary condition with memory for Kirchhoff plate equations.
• Controlling the dynamics of Burgers equation with a high-order nonlinearity
• Korteweg--de Vries and Kuramoto--Sivashinsky equations in bounded domains
• Adaptive boundary control of the forced generalized Korteweg-de Vries-Burgers equation
• Nonlinear boundary control of the generalized Burgers equation
• The Well-Posedness of the Kuramoto–Sivashinsky Equation
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Dynamics and Condensation of Complex Singularities For Burgers' Equation I
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
• Low dimensional modelling and Dirichlét boundary controller design for Burgers equation
• Stationary solutions for a boundary controlled Burgers' equation
• Burgers' equation with nonlinear boundary feedback: \(H^1\) stability, well-posedness and simulation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Boundary linear stabilization of the modified generalized Korteweg-de Vries-Burgers equation