Neumann Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain
DOI10.1137/15M103755XzbMath1382.35255arXiv1508.07525MaRDI QIDQ4591241
Bing-Yu Zhang, Miguel Andres Caicedo, Roberto A. Capistrano-Filho
Publication date: 13 November 2017
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.07525
Dirichlet boundary conditionsNeumann boundary conditionsKorteweg-de Vries equationexact boundary controllabilitycritical set
Controllability (93B05) Stabilization of systems by feedback (93D15) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Null controllability of a linear KdV equation on an interval with special boundary conditions
- Control and stabilization of the Korteweg-de Vries equation: recent progresses
- Nonhomogeneous boundary value problems for the Korteweg-de Vries equation on a bounded domain
- Controllability of the Korteweg-de Vries equation from the right Dirichlet boundary condition
- Boundary controllability for the nonlinear Korteweg-de Vries equation on any critical domain
- Compact sets in the space \(L^ p(0,T;B)\)
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
- Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation
- Exact boundary controllability of a nonlinear KdV equation with critical lengths
- Control of a Korteweg-de Vries equation: a tutorial
- Exact boundary controllability for the Korteweg-de Vries equation on a bounded domain
- Exact Controllability of a Nonlinear Korteweg–de Vries Equation on a Critical Spatial Domain
- 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
- Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation
- Exact Boundary Controllability of the Korteweg--de Vries Equation
- Local controllability of a 1-D tank containing a fluid modeled by the shallow water equations
- A Nonhomogeneous Boundary-Value Problem for the Korteweg–de Vries Equation Posed on a Finite Domain
- Controllability and Stabilizability of the Third-Order Linear Dispersion Equation on a Periodic Domain
- Exact controllability and stabilizability of the Korteweg-de Vries equation
- Well-posedness of a class of non-homogeneous boundary value problems of the Korteweg-de Vries equation on a finite domain
- Control of the surface of a fluid by a wavemaker
This page was built for publication: Neumann Boundary Controllability of the Korteweg--de Vries Equation on a Bounded Domain