Barbu, Viorel Controllability of parabolic and Navier-Stokes equations. (English) Zbl 1010.93054 Sci. Math. Jpn. 56, No. 1, 143-211 (2002). This paper is a survey of some recent advances (due to the author, O. Yu. Imanuvilov and others) on exact controllability, both distributed and boundary, of linear and nonlinear parabolic equations and the Navier-Stokes equations. The key threads running through the material are Carleman inequalities and associated results. Reviewer: Hector O.Fattorini (Los Angeles) Cited in 56 Documents MSC: 93C20 Control/observation systems governed by partial differential equations 93B05 Controllability 35Q30 Navier-Stokes equations 35K05 Heat equation 76D55 Flow control and optimization for incompressible viscous fluids Keywords:exact controllability; parabolic equations; Navier-Stokes equations; Carleman inequalities PDFBibTeX XMLCite \textit{V. Barbu}, Sci. Math. Jpn. 56, No. 1, 143--211 (2002; Zbl 1010.93054)