Uniform stabilization of Boussinesq systems in critical \(\mathbf{L}^q \)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls
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Publication:2211467
DOI10.3934/dcdsb.2020187zbMath1452.35229arXiv2202.03435OpenAlexW3035155020MaRDI QIDQ2211467
Buddhika Priyasad, Roberto Triggiani, Irena Lasiecka
Publication date: 11 November 2020
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.03435
Control/observation systems governed by partial differential equations (93C20) Feedback control (93B52) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Thermodynamics of continua (80A17) Second-order parabolic systems (35K40) PDEs in connection with control and optimization (35Q93)
Related Items
Unique continuation properties of over-determined static Boussinesq problems with application to uniform stabilization of dynamic Boussinesq systems ⋮ Uniform stabilization of Navier-Stokes equations in critical \(L^q\)-based Sobolev and Besov spaces by finite dimensional interior localized feedback controls ⋮ Uniform stabilization of 3D Navier-Stokes equations in low regularity Besov spaces with finite dimensional, tangential-like boundary, localized feedback controllers ⋮ Maximal \(L^p\)-regularity for an abstract evolution equation with applications to closed-loop boundary feedback control problems ⋮ Finite-dimensional boundary uniform stabilization of the Boussinesq system in Besov spaces by critical use of Carleman estimate-based inverse theory
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