2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/228021We consider the one dimensional Burgers equation forced by a brownian in space and white noise in time process $\partial_t u + u \partial_x u = f(x,t)$, with $2E(f(x,t)f(y,s)) = (|x|+|y|-|x-y|)δ(t-s)$ and we show that there are Levy processes solutions, for which we give the evolution equation of the characteristic exponent. In particular we give the explicit solution in the case $u_0(x)=0$.7 pagesStatistical MechanicsProbabilityFluid Dynamicstext