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- W2465140257 abstract "We consider the 2-d and 3-d Navier - Stokes equations in a boundedsmooth domain with a boundary control acting on the system through the Navierslip boundary conditions. We introduce a finite-dimensional Galerkin approximationof this system. Under suitable assumptions on the Galerkin basis we provethat this Galerkin approximation is exactly controllable. Moreover we prove thatthe cost of controlling is independent of the presence of the nonlinearity on thesystem. Our assumptions on the Galerkin basis are related to the linear independenceof suitable traces of its elements over the boundary. At this respect,the one-dimensional Burgers equation provides a particularly degenerate examplethat we study in detail. In this case we prove local controllability results." @default.
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- W2465140257 date "1998-01-01" @default.
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- W2465140257 title "Exact boundary controllability of Galerkin's approximations of Navier-Stokes equations" @default.
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