Null controllability of the linear Stabilized Kuramoto-Sivashinsky system using moment method
Analysis of PDEs
2022-05-20 v2
Abstract
This paper deals with the null controllability of a coupled parabolic system, which is Kuramoto-Sivashinsky-Korteweg-de Vries equation coupled with heat equation through first order derivative. More precisely, we prove the null controllability of the system with a single localized bilinear interior control acting on either of the components of the coupled system, and with a single periodic boundary control acting through zeroth order derivatives of either of the components. We employ the well-known moment method to study the controllability of the concerned system.
Keywords
Cite
@article{arxiv.2205.03638,
title = {Null controllability of the linear Stabilized Kuramoto-Sivashinsky system using moment method},
author = {Manish Kumar and Subrata Majumdar},
journal= {arXiv preprint arXiv:2205.03638},
year = {2022}
}