Controllability and asymptotic stabilization of the Camassa-Holm equation
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Publication:944309
DOI10.1016/j.jde.2008.06.016zbMath1186.35185OpenAlexW1974384644MaRDI QIDQ944309
Publication date: 16 September 2008
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2008.06.016
Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items (27)
Null controllability of the viscous Camassa-Holm equation with moving control ⋮ The global stabilization of the Camassa-Holm equation with a distributed feedback control ⋮ Control and stabilization of the Rosenau equation posed on a periodic domain ⋮ Optimal control and optimality condition of the Camassa-Holm equation ⋮ Local null controllability of viscous Camassa-Holm equation ⋮ On state feedback control of a class of nonlinear PDE systems in finite dimension ⋮ Optimal solution and optimality condition of the Hunter-Saxton equation ⋮ Optimal distributed control of the Fornberg-Whitham equation ⋮ The periodic boundary value problem for a quasilinear evolution equation in Besov spaces ⋮ Carleman estimates and unique continuation property for 1-D viscous Camassa-Holm equation ⋮ On the global boundary stabilization of the Camassa-Holm equation ⋮ Stabilization of a Boussinesq system with localized damping ⋮ The local well-posedness and existence of weak solutions for a generalized Camassa-Holm equation ⋮ A result concerning the global approximate controllability of the Navier-Stokes system in dimension 3 ⋮ Initial boundary value problem and asymptotic stabilization of the Camassa-Holm equation on an interval ⋮ Global solutions and blow-up phenomena to a shallow water equation ⋮ Well-posedness for the Cauchy problem of the modified Hunter-Saxton equation in the Besov spaces ⋮ Optimal control of a class of nonlocal dispersive equations ⋮ On the Cauchy problem of the modified Hunter-Saxton equation ⋮ Global exact controllability and asympotic stabilization of the periodic two-component \(\mu\rho\)-Hunter-Saxton system ⋮ Global asymptotic stabilization of the Hunter-Saxton control system ⋮ Simultaneous local exact controllability of 1D bilinear Schrödinger equations ⋮ Optimal control of a viscous generalized \(\theta\)-type dispersive equation with weak dissipation ⋮ Weak solution of the Novikov equation and optimal control ⋮ The Cauchy problem for a dissipative periodic 2-component Degasperis-Procesi system ⋮ Optimal distributed controls of a class of nonlinear dispersive equations with cubic nonlinearity ⋮ A note on the solution map for the periodic Camassa–Holm equation
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