Faculdade

Investigação

Optimal control of shear-thinning flows

TítuloOptimal control of shear-thinning flows
Publication TypeUnpublished
Year of Publication2012
AuthorsArada N
Series TitlePreprint
Palavras-chavenecessary optimality conditions., Optimal control, shear-thinning flows, steady Navier-Stokes equations
AbstractThe 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.
URLhttp://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2012/10_12.pdf