$ L^{2} $ Well-posedness and Bounded controllability for the Korteweg-de Vries-Burgers equationin a half-plane
Abstract
In this paper, the initial boundary value problem of the Korteweg-de Vries Burgers equation on the negative half-plane is analyzed. Initially, the well-posedness on $ H^s(\mathbb R^-) $ for $ s>-1 $ of the IBVP is established to concentrate on the $ L^2(\mathbb R^-) $ controllability problem when the controls are in the Dirichlet and Newmann conditions at $ x = 0 $.
Fields of Study & Subjects
Stability and Controllability of Differential Equations
Advanced Mathematical Physics Problems
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Mathematical Control and Related Fields
- Volume
- 20
- Issue
- 0
- Pages
- 217–251
- Publication date
- 10 February 2026
- Language
- EN