Boundary control of the generalized Korteweg-de Vries-Burgers equation
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Publication:840397
DOI10.1007/s11071-007-9222-5zbMath1170.93018OpenAlexW1984375355MaRDI QIDQ840397
Nejib Smaoui, Rasha H. Al-Jamal
Publication date: 11 September 2009
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11071-007-9222-5
Control/observation systems governed by partial differential equations (93C20) KdV equations (Korteweg-de Vries equations) (35Q53) Asymptotic stability in control theory (93D20)
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Cites Work
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- Boundary and distributed control of the viscous Burgers equation
- Computations of blow-up and decay for periodic solutions of the generalized Korteweg-de Vries-Burgers equation
- Decay of solutions to nonlinear, dispersive wave equations
- On the approximation of solutions of the generalized Korteweg-de Vries- Burgers equation
- Propagation of nonlinear waves in a porous medium with two-phase saturation by a liquid and a gas
- The step-decay problem for the Korteweg-de Vries-Burgers equation
- Nonlinear control of incompressible fluid flow: Application to Burgers' equation and 2D channel flow
- Analyzing the dynamics of the forced Burgers equation
- Smoothing and decay properties of solutions of the Korteweg-de Vries equation on a periodic domain with point dissipation
- Global stabilization of the Kuramoto-Sivashinsky equation via distributed output feedback control
- Asymptotic behaviour of solutions to the Korteweg-de Vries-Burgers equation
- Nonlinear boundary control of the generalized Burgers equation
- Boundary control of the Korteweg-de Vries-Burgers equation: further results on stabilization and well-posedness, with numerical demonstration
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Travelling-wave solutions to the Korteweg-de Vries-Burgers equation
- Exact boundary controllability for the linear Korteweg-De Vries eqation - a numerical study
- Self-similar large time behavior of solutions to Korteweg–de Vries–Burgers equation
- Decay of solutions of a higher order multidimensional nonlinear Korteweg–de Vries–Burgers system
- Controllability and Stabilizability of the Third-Order Linear Dispersion Equation on a Periodic Domain
- Exact controllability and stabilizability of the Korteweg-de Vries equation