Navier-Stokes equations with periodic boundary conditions and pressure loss

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. 
DOI: 10.1016/j.aml.2006.02.023

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Cite this paper

@article{Amrouche2007NavierStokesEW, title={Navier-Stokes equations with periodic boundary conditions and pressure loss}, author={Ch{\'e}rif Amrouche and Macaire Batchi and Jean Batina}, journal={Appl. Math. Lett.}, year={2007}, volume={20}, pages={48-53} }