| Title | Distributed control for multistate modified Navier-Stokes equations |
| Publication Type | Unpublished |
| Year of Publication | 2012 |
| Authors | Arada N |
| Series Title | Preprint |
| Keywords | multistate Navier-Stokes equations, necessary optimality conditions, Optimal control, shear-dependent viscosity |
| Abstract | The aim of this paper is to establish necessary optimality conditions for optimal control problems governed by steady, incompressible Navier-Stokes equations with shear-dependent viscosity. The main difficulty derives from the fact that equations of this type may exhibit non-uniqueness of weak solutions, and is overcome by introducing a family of approximate control problems governed by well posed generalized Stokes systems and by passing to the limit in the corresponding optimality conditions. |
| URL | http://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2012/8_12.pdf |
