Uniform stabilization of a nonlinear dispersive system

DOI10.1090/S0033-569X-2013-01343-1zbMath1281.93081OpenAlexW1984104111MaRDI QIDQ5402135

G. R. Souza, Ademir Fernando Pazoto

Publication date: 5 March 2014

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0033-569x-2013-01343-1

zbMATH Keywords

stabilizationexponential decayKorteweg-de Vries equation.

Mathematics Subject Classification ID

Controllability (93B05) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (7)

On the exponential decay of solutions of a coupled system of dissipative Benjamin-Bona-Mahony type equations in domain with moving boundaries ⋮ Null controllability of a coupled system of two Korteweg-de Vries equations from the left Dirichlet boundary conditions ⋮ Pointwise control of the linearized Gear-Grimshaw system ⋮ Stabilization of the Gear–Grimshaw system on a periodic domain ⋮ Stabilization of the Gear-Grimshaw system with weak damping ⋮ On the well-posedness and asymptotic behavior of a nonlinear dispersive system in weighted spaces ⋮ Periodic and almost periodic solutions for a coupled system of two Korteweg-de Vries equations with boundary forces

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