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• W2095455364 abstract "The paper is devoted to studying controllability properties for 3D Navier-Stokes equations in a bounded domain. We establish a sufficient condition under which the problem in question is exactly controllable in any finite-dimensional projection. Our sufficient condition is verified for any torus in $R^3$. The proofs are based on a development of a general approach introduced by Agrachev and Sarychev in the 2D case. As a simple consequence of the result on controllability, we show that the Cauchy problem for the 3D Navier-Stokes system has a unique strong solution for any initial function and a large class of external forces." @default.
• W2095455364 created "2016-06-24" @default.
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• W2095455364 date "2007-08-01" @default.
• W2095455364 modified "2023-10-03" @default.
• W2095455364 title "Exact controllability in projections for three-dimensional Navier–Stokes equations" @default.
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• W2095455364 doi "https://doi.org/10.1016/j.anihpc.2006.04.002" @default.
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