Convergence to the viscous porous medium equa- tion and propagation of chaos

We study a sequence of nonlinear stochastic differential equations and show that the distributions of the solutions converge to the solution of the vis- cous porous medium equation with exponent m > 1, generalizing the results of Oelschlager (2001) and Philipowski (2006) which concern the case m = 2. Fur- thermore we explain how to apply this result to the study of interacting particle systems.