caa a22 4500 463170954 CHVBK 20180406164813.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s00021-005-0207-1 doi (NATIONALLICENCE)springer-10.1007/s00021-005-0207-1 Local Exact Controllability of Micropolar Fluids [Elektronische Daten] [E. Fernández-Cara, S. Guerrero] Abstract.: This paper is devoted to prove the local exact controllability to the trajectories of micropolar fluids with distributed controls supported in small sets. First, we deduce new Carleman inequalities for associated linearized systems which leads to null controllability at any time T > 0. Then, we deduce a local result concerning the exact controllability to the trajectories of the whole nonlinear system. The arguments are presented separately in the two-dimensional and three-dimensional cases, since the required techniques are different. Birkhäuser Verlag, Basel, 2006 Controllability nationallicence micropolar fluids nationallicence Fernández-Cara E. Dpto. EDAN, University of Sevilla, Aptdo. 1160, 41080, Sevilla, Spain aut Guerrero S. Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte Courier 187, 75035, Paris Cedex 05, France aut Journal of Mathematical Fluid Mechanics Birkhäuser-Verlag; www.birkhäuser.ch 9/3(2007-08-01), 419-453 1422-6928 9:3<419 2007 9 21 https://doi.org/10.1007/s00021-005-0207-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00021-005-0207-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fernández-Cara E. Dpto. EDAN, University of Sevilla, Aptdo. 1160, 41080, Sevilla, Spain aut NATIONALLICENCE 700 1- Guerrero S. Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, Boîte Courier 187, 75035, Paris Cedex 05, France aut NATIONALLICENCE 773 0- Journal of Mathematical Fluid Mechanics Birkhäuser-Verlag; www.birkhäuser.ch 9/3(2007-08-01), 419-453 1422-6928 9:3<419 2007 9 21 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer