Navier-Stokes equations with periodic boundary conditions and pressure loss

Details Navier-Stokes equations with periodic boundary conditions and pressure loss Navier-Stokes equations with periodic boundary conditions and pressure loss

2007-04-18

arxiv.org/abs/0704.2359v1

Mathematics

Analysis of PDEs

10 pages

Scientific paper

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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