2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159167We present results from extensive numerical integration of the KPZ equation in $1 + 1$ dimensions aimed to check the long-time behavior of the dynamical structure factor of that system. Over a number of decades in the size of the structure factor we confirm scaling and stretched exponential decay. We also give an analytic expression that yields a very good approximation to the numerical data.8 pages, 7 figures. Accepted to PREStatistical MechanicsMaterials Sciencetext