Recurrent solutions of the Korteweg-de Vries equation with boundary force

DOI10.1007/s13226-021-00033-8zbMath1483.35183OpenAlexW3177127287MaRDI QIDQ2124831

Mo Chen

Publication date: 11 April 2022

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-021-00033-8

zbMATH Keywords

periodic solutionalmost periodic solutionKorteweg-de Vries equationquasi-periodic solutionbounded solution

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Almost and pseudo-almost periodic solutions to PDEs (35B15)

Related Items (1)

Massera's theorems for a higher order dispersive system

Cites Work

• Unnamed Item
• Unnamed Item
• Null controllability with constraints on the state for the Korteweg-de Vries equation
• Lipschitz stability in an inverse problem for the Korteweg-de Vries equation on a finite domain
• Rapid exponential stabilization for a linear Korteweg-de Vries equation
• Semigroups of linear operators and applications to partial differential equations
• Unique continuation for some evolution equations
• Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
• Asymptotic stability of a Korteweg-de Vries equation with a two-dimensional center manifold
• Bang-bang property for time optimal control of the Korteweg-de Vries-Burgers equation
• On non-autonomous sine-Gordon type equations with a simple global attractor and some averaging
• Asymptotic smoothing and the global attractor of a weakly damped KdV equation on the real line.
• Exact boundary controllability of a nonlinear KdV equation with critical lengths
• Null controllability with constraints on the state for the linear Korteweg-de Vries equation
• Global attractor for weakly damped gKdV equations in higher Sobolev spaces
• Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths
• Forced oscillations of the Korteweg-de Vries equation on a bounded domain and their stability
• Forced oscillations of a damped Korteweg-de Vries equation on a periodic domain
• Eventual periodicity of forced oscillations of the Korteweg-de Vries type equation
• A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
• Internal controllability of the korteweg–de vries equation on a bounded domain
• 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
• Global Stabilization of the Generalized Korteweg--de Vries Equation Posed on a Finite Domain
• Attractors for Nonautonomous Navier–Stokes System and Other Partial Differential Equations
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• Unique Continuation for the Korteweg–de Vries Equation
• Non-autonomous 2D Navier–Stokes system with a simple global attractor and some averaging problems
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
• Forced Oscillations of a Damped Korteweg-de Vries Equation in a Quarter Plane
• Recurrent solutions of the derivative Ginzburg–Landau equation with boundary forces
• Robustness of exponential attractors for damped Korteweg-de Vries equations
• Recurrent solutions of the linearly coupled complex cubic‐quintic Ginzburg‐Landau equations

This page was built for publication: Recurrent solutions of the Korteweg-de Vries equation with boundary force