On the controllability of the Kuramoto-Sivashinsky equation on multi-dimensional cylindrical domains

Víctor Hernández-Santamaría, Subrata Majumdar

In this article, we investigate null controllability of the Kuramoto-Sivashinsky (KS) equation on a cylindrical domain $\Omega ={\Omega }_x\times {\Omega }_y$ in ${\mathbb{R}}^N$, where ${\Omega }_x=(0,a),$ $a>0$…