Spectral inequality and optimal cost of controllability for the Stokes system

DOI10.1051/cocv/2016034zbMath1357.35178OpenAlexW2417862190MaRDI QIDQ2835354

Gilles Lebeau, Felipe Wallison Chaves-Silva

Publication date: 2 December 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/cocv/2016034

zbMATH Keywords

Stokes systemCarleman estimatesnull controllabilityspectral inequality

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence theories for optimal control problems involving partial differential equations (49J20) Second-order parabolic systems (35K40)

Related Items (16)

Statistical null-controllability of stochastic nonlinear parabolic equations ⋮ Controllability of a Stokes system with a diffusive boundary condition ⋮ A spectral inequality for degenerate operators and applications ⋮ Tunneling estimates and approximate controllability for hypoelliptic equations ⋮ Cost of null controllability for parabolic equations with vanishing diffusivity and a transport term ⋮ Small-time local stabilization of the two-dimensional incompressible Navier-Stokes equations ⋮ A Kalman condition for the controllability of a coupled system of Stokes equations ⋮ Observability Inequalities on Measurable Sets for the Stokes System and Applications ⋮ Semi-classical propagation of singularities for the Stokes system ⋮ Uniform Controllability of a Stokes Problem with a Transport Term in the Zero-Diffusion Limit ⋮ Carleman commutator approach in logarithmic convexity for parabolic equations ⋮ On the stabilization of a hyperbolic Stokes system under geometric control condition ⋮ Averaged dynamics and control for heat equations with random diffusion ⋮ Cost for a controlled linear KdV equation ⋮ Null controllability of the heat equation in pseudo-cylinders by an internal control ⋮ Data Assimilation for the Navier--Stokes Equations Using Local Observables

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