A qualitative study and numerical simulations for a time-delayed dispersive equation
From MaRDI portal
Publication:2053234
DOI10.1007/s12190-020-01446-0zbMath1479.35239arXiv2007.12598OpenAlexW3094142253MaRDI QIDQ2053234
Nejib Smaoui, Boumediène Chentouf, Kaïs Ammari
Publication date: 29 November 2021
Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.12598
Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53) Partial functional-differential equations (35R10) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic behavior for a weak viscoelastic wave equations with a dynamic boundary and time varying delay term
- Exact boundary controllability of the Korteweg-de Vries equation with a piecewise constant main coefficient
- Feedback stabilization of a class of evolution equations with delay
- Control and stabilization of the Korteweg-de Vries equation: recent progresses
- Feedback boundary stabilization of wave equations with interior delay
- Stabilization of elastic systems by collocated feedback
- On the stability of solutions to a certain fourth-order delay differential equation
- Boundary control of the generalized Korteweg-de Vries-Burgers equation
- On stability of solutions of certain fourth-order delay differential equations
- Nonlinear boundary control of the unforced generalized Korteweg-de Vries-Burgers equation
- Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain
- 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
- On global stabilization of Burgers' equation by boundary control.
- Decay of solutions to nonlinear, dispersive wave equations
- Asymptotic behavior of solutions of time-delayed Burgers' equation
- More results on the decay of solutions to nonlinear, dispersive wave equations
- Eventual periodicity of the forced oscillations for a Korteweg-de Vries type equation on a bounded domain using a sinc collocation method
- On the exponential and polynomial convergence for a delayed wave equation without displacement
- The generalized Burgers equation with and without a time delay
- Controlling the dynamics of Burgers equation with a high-order nonlinearity
- Exact boundary controllability of a nonlinear KdV equation with critical lengths
- Weak Galerkin finite element method for solving one-dimensional coupled Burgers' equations
- Adaptive boundary control of the forced generalized Korteweg-de Vries-Burgers equation
- A remark on exponential stability of time-delayed Burgers equation
- Initial boundary value problem for Korteweg-de Vries equation: a review and open problems
- Further results on the long-time behavior of a 2D overhead crane with a boundary delay: exponential convergence
- Nonlinear adaptive boundary control of the modified generalized Korteweg-de Vries-Burgers equation
- Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks
- Control of a Korteweg-de Vries equation: a tutorial
- The effect of dissipation on solutions of the generalized Korteweg-de Vries equation
- Nonlinear boundary control of the generalized Burgers equation
- Adaptive control of Burgers' equation with unknown viscosity
- Stabilization by switching time-delay
- Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Unique continuation and decay for the Korteweg-de Vries equation with localized damping
- On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping
- Global Stabilization of the Generalized Korteweg--de Vries Equation Posed on a Finite Domain
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
- Stabilization of the Korteweg-de Vries equation with localized damping
- Feedback Stabilization and Boundary Controllability of the Korteweg--de Vries Equation on a Star-Shaped Network
- Compensation of the interior delay effect for a rotating disk–beam system
- Fractal solutions of linear and nonlinear dispersive partial differential equations
- Non-linear dispersive waves
- On waves generated in dispersive systems by travelling forcing effects, with applications to the dynamics of rotating fluids
- Weak Nonlinear Dispersive Waves: A Discussion Centered Around the Korteweg–De Vries Equation
- Stability of an abstract-wave equation with delay and a Kelvin–Voigt damping
- Introduction to nonlinear dispersive equations
- Stationary solutions for a boundary controlled Burgers' equation
- Burgers' equation with nonlinear boundary feedback: \(H^1\) stability, well-posedness and simulation
This page was built for publication: A qualitative study and numerical simulations for a time-delayed dispersive equation