RT Journal Article
T1 Approximate controllability of the Stokes system on cylinders by external unidirectional forces
A1 Díaz Díaz, Jesús Ildefonso
A1 Fursikov, A.V.
AB We give some negative and positive results on the approximate controllability of the Stokes system formulated on a cylinder Omega = G x R of R-3 when the control is a density of external unidirectional forces. We distinguish the case where the direction of the controls e is parallel to the cylinder generatrix (e = e(3)) from the one where e is orthogonal to this generatrix (e = e(1)). A negative result in the case of e = e(3) is proved for periodic boundary conditions on x(3), and homogeneous Dirichlet conditions on partial derivative G x R where G is a general set of R-2. In contrast to that, the approximate controllability is proved for homogeneous Dirichlet conditions on partial derivative Omega (i.e. zero on partial derivative G x R and solutions in (L-2(G x R))(3) for any t), when G is a rectangle and e = e(1) is orthogonal to the cylinder generatrix.
PB Elsevier
SN 0021-7824
YR 1997
FD 1997
LK https://hdl.handle.net/20.500.14352/57405
UL https://hdl.handle.net/20.500.14352/57405
LA spa
NO Ministerio de Ciencia e Innovación (España) 
DS Docta Complutense
RD 15 dic 2025