On the boundary controllability of the Korteweg–de Vries equation on a star-shaped network

E Cerpa, E Crépeau, C Moreno - IMA Journal of Mathematical …, 2020 - academic.oup.com
A system of Korteweg–de Vries equations coupled by the boundary conditions is considered
in this paper. The configuration studied here is the one called star-shaped network, where …

Local null controllability of a model system for strong interaction between internal solitary waves

JA Bárcena-Petisco, S Guerrero… - Communications in …, 2022 - World Scientific
In this paper, we prove the local null controllability property for a nonlinear coupled system
of two Korteweg–de Vries equations posed on a bounded interval and with a source term …

Insensitizing control problem for the Hirota–Satsuma system of KdV–KdV type

K Bhandari - Nonlinear Analysis, 2024 - Elsevier
This paper is concerned with the existence of insensitizing controls for a nonlinear coupled
system of two Korteweg–de Vries (KdV) equations, typically known as the Hirota–Satsuma …

On a multi-objective control problem for the Korteweg–de Vries equation

ICA Albuquerque, FD Araruna, MC Santos - Calculus of Variations and …, 2023 - Springer
This paper deals with a hierarchical control problem for the Korteweg–de Vries (KdV)
equation with distributed controls following a Stackelberg–Nash strategy. We have a control …

Internal null controllability of the generalized Hirota-Satsuma system

N Carreño, E Cerpa, E Crépeau - ESAIM: Control, Optimisation and …, 2020 - esaim-cocv.org
The generalized Hirota-Satsuma system consists of three coupled nonlinear Korteweg-de
Vries (KdV) equations. By using two distributed controls it is proven in this paper that the …

Stackelberg-Nash Exact Controllability for the Benney--Lin type Equation with Mixed Boundary Conditions

M Kumar, S Majumdar - 2024 - hal.science
This paper deals with a bi-objective control problem for a strongly dissipative fifth-order
Korteweg-de Vries (KdV) equation with Dirichlet-periodic mixed boundary conditions by …

A New Carleman Inequality for a Linear Schrödinger Equation on Some Unbounded Domains

CSF de la Vega, L de Teresa, P Torres - Applied Mathematics & …, 2023 - Springer
This article presents a new Carleman inequality for a linear Schrödinger equation which is
suitable for both bounded and unbounded domains. We characterize the conditions on the …

A New Carleman Inequality for a Linear Schrödinger Equation on Some Unbounded Domains

CM Sanchez Fernandez de la Vega, L de Teresa… - 2023 - ri.conicet.gov.ar
This article presents a new Carleman inequality for a linear Schrödinger equation which is
suitable for both bounded and unbounded domains. We characterize the conditions on the …

Local exact controllability of the D-Schrödinger-Poisson system

K Beauchard, C Laurent - Journal de l'École polytechnique …, 2017 - numdam.org
In this article, we investigate the exact controllability of the 2D-Schrödinger-Poisson system,
which couples a Schrödinger equation on a bounded domain of R2 with a Poisson equation …

Internal null controllability of the Hirota-Satsuma system

E Crépeau - indam2020.wordpress.com
The generalized Hirota-Satsuma system consists of three coupled nonlinear Korteweg-de
Vries (KdV) equations. By using two distributed controls, we prove that the local null …