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- W2988296989 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.
- W2988296989 created "2019-11-22" @default.
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- W2988296989 date "2006-01-01" @default.
- W2988296989 modified "2023-10-01" @default.
- W2988296989 title "Feedback Stabilization of the 3-D Navier-Stokes Equations Based on an Extended System." @default.
- W2988296989 hasPublicationYear "2006" @default.
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