2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100000We show that the viscous Camassa-Holm equation subject to an external force, and where the viscosity term is given by second order differential operator in divergence form has a global attractors in the energy space $H^1$. Moreover, we establish an asymptotic smoothing effect.To appear in DCDS- ADynamical Systems35Q35, 35Q58, 37K40, 35B41, 35B65, 76B15text