Stabilization of the Gear–Grimshaw system on a periodic domain

DOI10.1142/S0219199714500473zbMath1304.35602arXiv1303.4759MaRDI QIDQ2937037

Roberto A. Capistrano-Filho, Vilmos Komornik, Ademir Fernando Pazoto

Publication date: 7 January 2015

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4759

zbMATH Keywords

conservation lawsstabilizationKdV equationdecay rate

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (4)

On the exponential decay of solutions of a coupled system of dissipative Benjamin-Bona-Mahony type equations in domain with moving boundaries ⋮ Pointwise control of the linearized Gear-Grimshaw system ⋮ Insensitizing control problem for the Hirota-Satsuma system of KdV-KdV type ⋮ Stabilization of the Gear-Grimshaw system with weak damping

Cites Work

• A model system for strong interaction between internal solitary waves
• Remarks on the Korteweg-de Vries equation
• Weak and Strong Interactions between Internal Solitary Waves
• Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain
• The initial-value problem for the Korteweg-de Vries equation
• The Korteweg–deVries Equation: A Survey of Results
• Controllability and Stabilizability of the Third-Order Linear Dispersion Equation on a Periodic Domain
• Exact controllability and stabilizability of the Korteweg-de Vries equation
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Uniform stabilization of a nonlinear dispersive system

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