On the optimal control of a class of non-Newtonian fluids |
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Authors: | Telma Guerra Jorge Tiago Adélia Sequeira |
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Institution: | 1. Escola Superior de Tecnologia do Barreiro, IPS, CMA, FCT-UNL, Lisboa, Portugal 2. Departamento de Matemática, CEMAT, Instituto Superior Técnico, Universidade de Lisboa, Lisboa, Portugal
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Abstract: | We consider optimal control problems of systems governed by stationary, incompressible generalized 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 and shear-thickening behavior. We prove an existence result for such class of optimal control problems. |
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