2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106227In this paper we study the asymptotic behaviour of solutions of a system of $N$ partial differential equations. When $N = 1$ the equation reduces to the Burgers equation and was studied by Hopf. We consider both the inviscid and viscous case and show a new feature in the asymptotic behaviour.9 pagesAnalysis of PDEs35B40; 35L60text