Control and stabilization of the Benjamin-Ono equation on a periodic domain

DOI10.1090/S0002-9947-2015-06086-3zbMath1310.93031arXiv1209.5014OpenAlexW2140953416MaRDI QIDQ5247013

Felipe Linares, Lionel Rosier

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5014

zbMATH Keywords

exact controllabilitystabilizationBenjamin-Ono equationunique continuation propertyperiodic domainpropagation of regularity

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic stability in control theory (93D20)

Related Items

Control and stability of the linearized dispersion-generalized Benjamin-Ono equation on a periodic domain ⋮ Exact controllability and stabilization for a general internal wave system of Benjamin-Ono type ⋮ Control and stabilization for the dispersion generalized Benjamin equation on the circle ⋮ Control and stabilization of the Benjamin-Ono equation in \(L^2(\mathbb T)\) ⋮ Control and stabilization of the periodic fifth order Korteweg-de Vries equation ⋮ Control of a Boussinesq system of KdV–KdV type on a bounded interval ⋮ Controllability and Stabilizability of a Higher Order Wave Equation on a Periodic Domain ⋮ Stabilizability for a Quasilinear Klein–Gordon-Wave System with Variable Coefficients ⋮ On the exact controllability and the stabilization for the Benney-Luke equation ⋮ Benjamin-Ono and Intermediate Long Wave Equations: Modeling, IST and PDE ⋮ CONTROLLABILITY OF THE KORTEWEG-DE VRIES-BURGERS EQUATION ⋮ Local controllability and stability of the periodic fifth-order KdV equation with a nonlinear dispersive term ⋮ Dynamical canonical systems and their explicit solutions ⋮ On the controllability and stabilization of the linearized Benjamin equation on a periodic domain ⋮ On the controllability and stabilization of the Benjamin equation on a periodic domain ⋮ Stabilization of dispersion-generalized Benjamin-Ono ⋮ Kato smoothing properties of a class of nonlinear dispersive wave equations on a periodic domain ⋮ Two simple criterion to obtain exact controllability and stabilization of a linear family of dispersive PDE's on a periodic domain ⋮ Sharp Kato smoothing properties of weakly dissipated KdV equations with variable coefficients on a periodic domain ⋮ Global control aspects for long waves in nonlinear dispersive media

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