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- W3168261363 abstract "We consider a fluid flow in a time dependent domain Ω f ( t )=ΩΩ s ( t )̅⊂ℝ 3 , surrounding a deformable obstacle Ω s ( t ). We assume that the fluid flow satisfies the incompressible Navier-Stokes equations in Ω f ( t ), t > 0. We prove that, for any arbitrary exponential decay rate ω > 0, if the initial condition of the fluid flow is small enough in some norm, the deformation of the boundary ∂ Ω s ( t ) can be chosen so that the fluid flow is stabilized to rest, and the obstacle to its initial shape and its initial location, with the exponential decay rate ω > 0." @default.
- W3168261363 created "2021-06-22" @default.
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- W3168261363 date "2021-01-01" @default.
- W3168261363 modified "2023-09-30" @default.
- W3168261363 title "Feedback stabilization of a 3D fluid flow by shape deformations of an obstacle" @default.
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- W3168261363 doi "https://doi.org/10.1051/cocv/2021059" @default.
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