Boundary controllability of a linear Schrödinger-Korteweg-de Vries system
Abstract
The Schrödinger-Korteweg-de Vries system is a model in fluid mechanics and plasma physics that describes the interactions between a short-wave and a long-wave. This paper is concerned with the null controllability of a linear Schrödinger-Korteweg-de Vries system on a bounded interval, we use two controls acting via the left Dirichlet boundary conditions. First, we prove a Carleman estimate for the adjoint system, then, the null controllability is obtained by duality argument.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Advanced Mathematical Physics Problems
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Evolution equations and control theory
- Volume
- 19
- Issue
- 0
- Pages
- 236–245
- Publication date
- 1 January 2026