Finite dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory
Irena Lasiecka,
Buddhika Priyasad,
Roberto Triggiani
Abstract:We consider the d-dimensional Boussinesq system defined on a sufficiently smooth bounded domain, and subject to a pair {v, u} of controls localized on { Γ, ω}. Here, v is a scalar Dirichlet boundary control for the thermal equation, acting on an arbitrary small connected portion Γ of the boundary Γ = ∂Ω. Instead, u is a d-dimensional internal control for the fluid equation acting on an arbitrary small collar ω supported by Γ (Fig 1). The initial conditions for both fluid and heat equations are taken of low reg… Show more
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