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Department of Mathematics

Department colloquium

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

Speaker: Magnus Svärd, Professor, Department of Mathematics, UoB

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

 

Abstract:

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.