Navier–Stokes equations with periodic boundary conditions and pressure loss |
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| Institution: | 1. Laboratoire de Mathématiques Appliquées, CNRS UMR 5142, Université de Pau et des Pays de l’Adour, Avenue de l’Université 64000 Pau, France;2. Laboratoire de Thermique Energétique et Procédés, Université de Pau et des Pays de l’Adour, Avenue de l’Université 64000 Pau, France |
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| Abstract: | We present in this note the existence and uniqueness results for the Stokes and Navier–Stokes equations which model the laminar flow of an incompressible fluid inside a two-dimensional channel of periodic sections. The data of the pressure loss coefficient enables us to establish a relation on the pressure and to thus formulate an equivalent problem. |
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