Neumann boundary controllability of the Gear-Grimshaw system with critical size restrictions on the spatial domain

DOI10.1007/s00033-016-0705-4zbMath1362.35256arXiv1602.00742OpenAlexW3102599150MaRDI QIDQ518950

Fernando A. Gallego, Roberto A. Capistrano-Filho, Ademir Fernando Pazoto

Publication date: 4 April 2017

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.00742

zbMATH Keywords

Dirichlet boundary conditionsNeumann boundary conditionsexact boundary controllabilitycritical setGear-Grimshaw system

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 (5)

Pointwise control of the linearized Gear-Grimshaw system ⋮ Local null controllability of a model system for strong interaction between internal solitary waves ⋮ Global Well-Posedness of the KdV Equation on a Star-Shaped Network and Stabilization by Saturated Controllers ⋮ Internal null controllability of the generalized Hirota-Satsuma system ⋮ Boundary controllability of a nonlinear coupled system of two Korteweg-de Vries equations with critical size restrictions on the spatial domain

Cites Work

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• A model system for strong interaction between internal solitary waves
• General boundary value problems of the Korteweg-de Vries equation on a bounded domain
• Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain
• A NOTE ON THE PAPER "ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS"
• Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
• Weak and Strong Interactions between Internal Solitary Waves
• ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS
• Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
• A General Theory of Observation and Control
• A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
• Neumann Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain
• On a model system for the oblique interaction of internal gravity waves

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