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On the Weak Solvability Via Lagrange Multipliers for a Bingham Model

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Abstract

We study the stationary flow of an incompressible non-Newtonian fluid of Bingham type, mathematically described by means of a nonlinear boundary value problem governed by PDEs. The variational formulation which we propose is a mixed variational problem with Lagrange multipliers. First, we obtain existence, uniqueness, and stability results into an abstract framework. Then, we discuss the well-posedness of the mechanical model based on the auxiliary abstract results.

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Acknowledgements

This project has received funding from the European Union’s Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie Grant Agreement No 823731 CONMECH.

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Authors and Affiliations

  1. Doctoral School of Sciences, University of Craiova, A.I. Cuza 13, Craiova, 200585, Romania

    Mariana Chivu Cojocaru

  2. Department of Mathematics, University of Craiova, A.I. Cuza 13, 200585, Craiova, Romania

    Andaluzia Matei

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  1. Mariana Chivu Cojocaru
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  2. Andaluzia Matei
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Correspondence to Andaluzia Matei.

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Chivu Cojocaru, M., Matei, A. On the Weak Solvability Via Lagrange Multipliers for a Bingham Model. Mediterr. J. Math. 17, 164 (2020). https://doi.org/10.1007/s00009-020-01596-2

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