Two stability results for the Kawahara equation with a time-delayed boundary control
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Publication:2108915
DOI10.1007/s00033-022-01897-4zbMath1504.35437arXiv2207.07017OpenAlexW4311986564MaRDI QIDQ2108915
Publication date: 20 December 2022
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.07017
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Stability in context of PDEs (35B35) KdV equations (Korteweg-de Vries equations) (35Q53) Lyapunov and storage functions (93D30) PDEs on time scales (35R07)
Related Items (3)
Dynamic stability of the Kawahara equation under the effect of a boundary finite memory ⋮ Biorthogonal functions for complex exponentials and an application to the controllability of the Kawahara equation via a moment approach ⋮ Stability results for the KdV equation with time-varying delay
Cites Work
- Decay properties for solutions of fifth order nonlinear dispersive equations
- The Kawahara equation on bounded intervals and on a half-line
- Energy decay for the modified Kawahara equation posed in a bounded domain
- Existence of perturbed solitary wave solutions to a model equation for water waves
- Correct initial boundary value problems for dispersive equations
- Asymptotic models for internal waves
- Periodic and solitary wave solutions of Kawahara and modified Kawahara equations by using Sine-Cosine method
- Boundary value problems for the stationary Kawahara equation
- Kawahara equation in a bounded domain
- Solitary wave solution for the generalized Kawahara equation
- A non-homogeneous boundary-value problem for the Korteweg-de Vries equation posed on a finite domain. II.
- Semigroups of linear operators and applications to partial differential equations
- Compact sets in the space \(L^ p(0,T;B)\)
- Strichartz estimates for dispersive equations and solvability of the Kawahara equation
- Local well-posedness for the periodic higher order KdV type equations
- Low regularity well-posedness for the periodic Kawahara equation.
- Non-homogeneous initial-boundary-value problem of the fifth-order Korteweg-de Vries equation with a nonlinear dispersive term
- Well-posedness and controllability of Kawahara equation in weighted Sobolev spaces
- Well-posedness of the classical solutions for a Kawahara-Korteweg-de Vries-type equation
- Control results with overdetermination condition for higher order dispersive system
- Internal controllability of the Kawahara equation on a bounded domain
- Application of variational iteration method and homotopy perturbation method to the modified Kawahara equation
- Large time existence for 3D water waves and asymptotics
- Convergence results related to the modified Kawahara equation
- Stabilization of the Kawahara equation with localized damping
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Stabilization of wave systems with input delay in the boundary control
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- Stabilization of the linear Kawahara equation with localized damping
- Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations
- A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
- Two Approaches for the Stabilization of Nonlinear KdV Equation With Boundary Time-Delay Feedback
- On the classical solutions for a Rosenau–Korteweg-deVries–Kawahara type equation
- An analytic and numerical solution to a modified Kawahara equation and a convergence analysis of the method
- Massera's theorems for a higher order dispersive system
- Well‐posedness and exponential stability of the Kawahara equation with a time‐delayed localized damping
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