Insensitizing control problem for the Hirota-Satsuma system of KdV-KdV type
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Publication:6185359
DOI10.1016/j.na.2023.113422arXiv2306.08497OpenAlexW4388114023MaRDI QIDQ6185359
Publication date: 8 January 2024
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.08497
Sensitivity (robustness) (93B35) Controllability (93B05) KdV equations (Korteweg-de Vries equations) (35Q53) Observability (93B07) Initial-boundary value problems for higher-order parabolic systems (35K52)
Cites Work
- Insensitizing controls with one vanishing component for the Navier-Stokes system
- Boundary controllability of a nonlinear coupled system of two Korteweg-de Vries equations with critical size restrictions on the spatial domain
- Controllability of the Korteweg-de Vries equation from the right Dirichlet boundary condition
- Internal null controllability of a linear Schrödinger-KdV system on a bounded interval
- Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain
- Stabilization of the Gear-Grimshaw system with weak damping
- Exact boundary controllability of a nonlinear KdV equation with critical lengths
- Insensitizing controls for a heat equation with a nonlinear term involving the state and the gradient
- Controls insensitizing the norm of the solution of a semilinear heat equation
- Insensitizing exact controls for the scalar wave equation and exact controllability of 2-coupled cascade systems of PDE's by a single control
- Null controllability of semi-linear fourth order parabolic equations
- Insensitizing controls for a semilinear parabolic equation: a numerical approach
- Insensitizing controls for the Boussinesq system with no control on the temperature equation
- Some remarks on the hierarchic control for coupled parabolic PDEs
- Insensitizing controls for the Navier-Stokes equations
- Controllability of systems of Stokes equations with one control force: existence of insensitizing controls
- Identification of the class of initial data for the insensitizing control of the heat equation
- Insensitizing controls for a phase field system
- Desensitizing control for the heat equation with respect to domain variations
- Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain
- Stabilization of the Gear–Grimshaw system on a periodic domain
- Internal controllability of the korteweg–de vries equation on a bounded domain
- A NOTE ON THE PAPER "ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS"
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Existence of Insensitizing Controls for a Semilinear Heat Equation with a Superlinear Nonlinearity
- Weak and Strong Interactions between Internal Solitary Waves
- Exact Controllability of a Nonlinear Korteweg–de Vries Equation on a Critical Spatial Domain
- Unique continuation principle for systems of parabolic equations
- Control and Stabilization of the Korteweg-de Vries Equation on a Periodic Domain
- Some exact controllability results for the linear KdV equation and uniform controllability in the zero-dispersion limit
- ON THE CONTROLLABILITY OF A COUPLED SYSTEM OF TWO KORTEWEG–DE VRIES EQUATIONS
- Exact Boundary Controllability of the Korteweg--de Vries Equation
- A Local Result on Insensitizing Controls for a Semilinear Heat Equation with Nonlinear Boundary Fourier Conditions
- Controllability and Stabilizability of the Third-Order Linear Dispersion Equation on a Periodic Domain
- Exact controllability and stabilizability of the Korteweg-de Vries equation
- Insensitizing controls for a semilinear heat equation
- Insensitizing control for linear and semi-linear heat equations with partially unknown domain
- Internal null controllability of the generalized Hirota-Satsuma system
- Insensitizing controls with two vanishing components for the three-dimensional Boussinesq system
- Null Controllability of Some Systems of Two Parabolic Equations with One Control Force