ABSTRACT

In order to simplify the estimation of the pressure in the Navier–Stokes equations, some papers have presented an approximation of the equations by introducing a small amount of compressibility on u → https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315373393/e1c1ff9e-5083-409e-83f8-9c892d4b410a/content/eq10707.tif"/> in order to turn the Navier–Stokes equations, which contains a non-local term ∇ → p https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315373393/e1c1ff9e-5083-409e-83f8-9c892d4b410a/content/eq10708.tif"/> (given by the Leray projection operator, thus by a singular integral), into a system of partial differential operators that contain no non-local terms.