×

zbMATH — the first resource for mathematics

Controllability of parabolic and Navier-Stokes equations. (English) Zbl 1010.93054
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.

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
PDF BibTeX XML Cite