2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219119The paper contains several regularity results and blow-up criterions for a surface growth model, which seems to have similar properties to the 3D Navier-Stokes, although it is a scalar equation. As a starting point we focus on energy methods and Lyapunov-functionals.Analysis of PDEsMathematical Physics35B33, 35B45, 35B65, 35K55, 35Qxx, 60H15Regularity and blow-up in a surface growth modeltext