Boundary controllability of a simplified stabilized Kuramoto-Sivashinsky system
Abstract
In this paper, we study the controllability of a nonlinear system of coupled second-and fourth-order parabolic equations. This system can be regarded as a simplification of the wellknown stabilized Kuramoto-Sivashinsky system. Using only one control applied on the boundary of the second-order equation, we prove that the local-null controllability of the system holds if the diffusion coefficient of the second-order equation is a quadratic irrational number.
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