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Small-time local stabilization of the two-dimensional incompressible Navier-Stokes equations - MaRDI portal

Small-time local stabilization of the two-dimensional incompressible Navier-Stokes equations (Q6075033)

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scientific article; zbMATH DE number 7752604
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Small-time local stabilization of the two-dimensional incompressible Navier-Stokes equations
scientific article; zbMATH DE number 7752604

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    Small-time local stabilization of the two-dimensional incompressible Navier-Stokes equations (English)
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    20 October 2023
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    Summary: We construct explicit time-varying feedback laws that locally stabilize the two-dimensional internal controlled incompressible Navier-Stokes equations in arbitrarily small time. We also obtain quantitative rapid stabilization via stationary feedback laws, as well as quantitative null-controllability with explicit controls having \(e^{C/T}\) costs.
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    cost
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    finite-time stabilization
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    null-controllability
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    quantitative
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    spectral inequality
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