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arXiv · 2205.03638

Null controllability of the linear Stabilized Kuramoto-Sivashinsky system using moment method

Manish Kumar·Subrata Majumdar
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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.

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Manish Kumar, Subrata Majumdar. 2022-05-07. Null controllability of the linear Stabilized Kuramoto-Sivashinsky system using moment method. https://arxiv.org/abs/2205.03638

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