Department of Mathematics

I will consider the motion of a viscous, incompressible fluid on a surface (or, more generally, on a Riemannian manifold). In this context, one might think of an aqua planet. The fluid motion is described by the surface Navier-Stokes equations. What are these equations, and how does the fluid evolve? Interestingly, there is an intriguing connection between the long-time behavior of solutions and the existence of Killing vector fields. Numerical simulations will also be shown to underscore theoretical predictions.