  This contribution describes the evolution of the protoplanetary disk using 2D
numerical simulations. The 2D Euler equations are solved with the finite volume
method. The numerical simulations are used to study the persistence and
migration of anticyclonic vortices. Two cases are presented : (1) vortices
produced by the Rossby Waves Instability, (2) a non-linear vortex model
initially implemented into the disk. The migration of the vortices is due to
spiral density waves excited by the vortex in the gas of the disk.
