| Title | Optimal control of shear-thinning flows |
| Publication Type | Unpublished |
| Year of Publication | 2012 |
| Authors | Arada N |
| Series Title | Preprint |
| Keywords | necessary optimality conditions., Optimal control, shear-thinning flows, steady Navier-Stokes equations |
| 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 is related with the differentiability of the control-to-state mapping and is overcome by introducing a family of smooth approximate control problems, 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/2012/10_12.pdf |