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Pré-Publication, Document De Travail Année : 2024

Boundary controllability of a simplified stabilized Kuramoto-Sivashinsky system

Résumé

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 well-known 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 square root of the diffusion coefficient of the second-order equation is an irrational number with finite Liouville-Roth constant.
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Dates et versions

hal-03090716 , version 1 (30-12-2020)
hal-03090716 , version 2 (18-04-2024)

Identifiants

  • HAL Id : hal-03090716 , version 2

Citer

Víctor Hernández-Santamaría, Alberto Mercado, Piero Visconti. Boundary controllability of a simplified stabilized Kuramoto-Sivashinsky system. 2024. ⟨hal-03090716v2⟩
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