On the Optimal Control of a Class of Non-Newtonian Fluids
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 including shear-thinning and shear-thickening behavior. We prove an existence result for such class of optimal control problems.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2015
- DOI:
- 10.48550/arXiv.1510.04077
- arXiv:
- arXiv:1510.04077
- Bibcode:
- 2015arXiv151004077G
- Keywords:
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- Mathematics - Optimization and Control;
- 49J20;
- 76D55;
- 76A05
- E-Print:
- Annali dell'Universita di Ferrara, Vol. 60, Iss. 1, pp. 133-147 (2014)