Vortex Methods in Two-Dimensional Fluid Dynamics (Lecture Notes in Physics)

Euler equations.- Vortex model.- An existence theorem for Euler equations.- Further considerations on vortex model.- A mean field limit.- Navier-Stokes equations.- Diffusion process and Navier-Stokes equations.- Mean field limit and propagation of chaos for Navier-Stokes equations.- The problem of boundary conditions, chorin method and concluding remarks.