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- W2912130308 abstract "We study the local exponential stabilization of the 3D Navier-Stokes equations in a bounded domain, around a given steady-state flow, by means of a boundary control. We look for a control so that the solution to the Navier-Stokes equation be a strong solution. In the 3D case, such solutions may exist if the Dirichlet control satisfies a compatibility condition with the initial condition. In order to determine a feedback law satisfying such a compatibility condition, we consider an extended system coupling the Navier-Stokes equations with an equation satisfied by the control on the boundary of the domain. We determine a linear feedback law by solving a linear quadratic control problem for the linearized extended system. We show that this feedback law also stabilizes the nonlinear extended system." @default.
- W2912130308 created "2019-02-21" @default.
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- W2912130308 date "2006-10-29" @default.
- W2912130308 modified "2023-10-18" @default.
- W2912130308 title "Feedback Stabilization of the 3-D Navier-Stokes Equations Based on an Extended System" @default.
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- W2912130308 doi "https://doi.org/10.1007/0-387-33882-9_2" @default.
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