Existence and uniqueness of optimal control to the Navier-Stokes equations

Authors
Bewley, T Temam, R Ziane, M
Citation
T. Bewley et al., Existence and uniqueness of optimal control to the Navier-Stokes equations, CR AC S I, 330(11), 2000, pp. 1007-1011
Citations number
10
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
330
Issue
11
Year of publication
2000
Pages
1007 - 1011
Database
ISI
SICI code
0764-4442(20000601)330:11<1007:EAUOOC>2.0.ZU;2-O
Abstract
In this Note we establish the existence and uniqueness of solutions for opt imal control problems for the 2D Navier-Stokes equations in a 2D domain. Ou r approach is based on infinite-dimensional optimization; the cost function al is shown to be strictly convex. Generalization to other control problems as well as a gradient algorithm are presented. (C) 2000 Academie des scien ces/Editions scientifiques et medicales Elsevier SAS.