Fundamental aspects of inverse-kinetic theories for the incompressible Navier–Stokes equations [M. Tessarotto, M. Ellero, RGD24, Italy, July 10–16, 2004, AIP Conf. Proc. 762 (2005) 108; M. Ellero, M. Tessarotto, Physica A 355 (2005) 233] include the possibility of defining uniquely the kinetic...

An inverse kinetic theory applying specifically to incompressible Newtonian fluids which permits us to avoid the N2 algorithmic complexity of the Poisson equation for the fluid pressure is presented. The theory is based on the construction of a suitable kinetic equation in phase space, which...