Operator splitting for two-dimensional incompressible fluid equations
  We analyze splitting algorithms for a class of two-dimensional fluid equations, which includes the incompressible Navier-Stokes equations and the surface quasi-geostrophic equation. Our main result is that the Godunov and Strang splitting methods converge with the expected rates provided the initial data are sufficiently regular. 
Helge Holden, Kenneth H. Karlsen, and Trygve K. Karper
math.NA math.AP