Место издания:Cambridge University Press Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, Sao Paulo, Delhi, Mexico City
Первая страница:130
Последняя страница:172
Аннотация:This paper considers the feedback stabilization problem
for the Navier-Stokes equations defined in a bounded domain.
Control via a forcing term (both distributed and impulsive) supported
in a subdomain, via the initial condition, and via boundary
conditions are studied, and relationships between these different
kinds of control are presented. The precise meaning of 'feedback
control' is discussed, and a feedback map providing control via
the state variable is constructed for initial and distributed control
(in the latter case for the linear Oseen equations only). Numerical
algorithms for the calculation of stable invariant manifolds and
projection operators on these sets are discussed. Finally the results
of a numerical stabilization of a particular fluid flow are presented.