RT Journal Article
T1 Stopping a viscous fluid by a feedback dissipative field: II. The stationary Navier-Stokes problem
A1 Antontsev, Stanislav Nikolaevich
A1 Díaz Díaz, Jesús Ildefonso
A1 de Oliveira, Hermenegildo Borges
AB We consider a planar stationary flow of an incompressible viscous fluid in a semi-infinite strip governed by the Navier-Stokes system with a feed-back body forces field which depends on the velocity field. Since the presence of this type of non-linear terms is not standard in the fluid mechanics literature, we start by establishing some results about existence and uniqueness of weak solutions. Then, we prove how this fluid can be stopped at a finite distance of the semi-infinite strip entrance by means of this body forces field which depends in a sub-linear way on the velocity field. This localization effect is proved by reducing the problem to a fourth order non-linear one for which the localization of solutions is obtained by means of a suitable energy method.
PB Accademia Nazionale dei Lincei
SN 1720-0768
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/51444
UL https://hdl.handle.net/20.500.14352/51444
LA eng
DS Docta Complutense
RD 8 abr 2025