On self-similar collapse of discontinuous data for thin film equations with doubly degenerate mobility

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217468It is shown that a Riemann-type problem with discontinuous data of sign-type for the thin film equation, which degenerates at +1 and -1, admits a self-similar solution. Both FBP and the Cauchy problem (oscillatory solutions near interfaces) settings are taken into account.39 pages, 16 figuresAnalysis of PDEs35K55, 35K40, 35K65On self-similar collapse of discontinuous data for thin film equations with doubly degenerate mobilitytext