Uniform stabilization of a nonlinear dispersive system
From MaRDI portal
Publication:5402135
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
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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Decay of solutions to damped Korteweg-de Vries type equation
- Uniform stabilization of a nonlinear coupled system of Korteweg-de Vries equations as a singular limit of the Kuramoto-Sivashinsky system.
- Global stabilization of a coupled system of two generalized Korteweg-de Vries type equations posed on a finite domain
- Asymptotic behavior of the Korteweg-de Vries equation posed in a quarter plane
- Compact sets in the space \(L^ p(0,T;B)\)
- A model system for strong interaction between internal solitary waves
- Exponential stabilization of a coupled system of Korteweg-de Vries equations with localized damping.
- On the Cauchy problem for a coupled system of KdV equations
- The Cauchy problem for the Benjamin-Ono equation in \(L^{2}\) revisited
- Nonlinear-Evolution Equations of Physical Significance
- A NOTE ON THE PAPER "ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS"
- Uniform stabilization of a class of coupled systems of KdV equations with localized damping
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Exponential Decay for The Semilinear Wave Equation with Locally Distributed Damping
- The Korteweg–de Vries Equation, Posed in a Quarter-Plane
- Weak and Strong Interactions between Internal Solitary Waves
- Unique continuation and decay for the Korteweg-de Vries equation with localized damping
- On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping
- Global Stabilization of the Generalized Korteweg--de Vries Equation Posed on a Finite Domain
- Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain
- ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS
- Stability and instability of solitary waves for a nonlinear dispersive system
- Stabilization of the Korteweg-de Vries equation with localized damping
- Exact Boundary Controllability for the Linear Korteweg--de Vries Equation on the Half-Line
- On a model system for the oblique interaction of internal gravity waves
- On the uniform decay for the Korteweg–de Vries equation with weak damping
- Control of the surface of a fluid by a wavemaker
This page was built for publication: Uniform stabilization of a nonlinear dispersive system