A least-squares formulation for the approximation of null controls for the Stokes system

作者:Muench Arnaud; Pedregal Pablo
来源:Comptes Rendus Mathematique, 2013, 351(13-14): 545-550.
DOI:10.1016/j.crma.2013.07.019

摘要

This work deals with the approximation of distributed null controls for the Stokes equation. The existence of L-2 controls has been obtained by Fursikov and Imanuvilov (1996) [5] via Carleman-type estimates. We introduce and analyze a least-squares formulation of the controllability problem, and we show that it allows the construction of convergent sequences of functions toward null controls for the Stokes system.

  • 出版日期2013-7