2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127126The large time behavior of solutions to Cauchy problem for viscous Hamilton-Jacobi equation is classified. The large time asymptotics are given by very singular self-similar solutions on one hand and by self-similar viscosity solutions on the other handAnalysis of PDEs35K15, 35B40Asymptotic profiles of solutions to viscous Hamilton-Jacobi equationstext