Why the Navier-Stokes equations are wrong, and how to fix them

In the first part of the talk, a number of physically problematic features of the Navier-Stokes equations will be presented. It turns out that the definition of the velocity is the cause of these problems. The velocity definition is in turn a consequence of the way viscous effects are modelled in a Lagrangian frame. In the second part, a new model for viscous and heat conducting flows is proposed. It is obtained by modelling diffusion, rather than viscosity, in an Eulerian frame.