Distributed Control for Shear-Thinning Non-Newtonian Fluids |
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| Authors: | Telma Guerra |
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| Affiliation: | 1. Escola Superior de Tecnologia do Barreiro Instituto, Politécnico de Setúbal Rua Américo da Silva Marinho, 2839-001, Lavradio, Portugal
2. Centro de Matemática e Aplica??es, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Quinta da Torre, 2829-516, Caparica, Portugal
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| Abstract: | We consider optimal control problems of systems governed by quasi-linear, stationary, incompressible Navier–Stokes equations with shear-dependent viscosity in a two-dimensional or three-dimensional domain. We study a general class of viscosity functions with shear-thinning behaviour. Our aim is to prove the existence of a solution for the class of control problems and derive the first order optimality conditions. |
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