On self-similar collapse of discontinuous data for thin film equations with doubly degenerate mobility
arXiv:0901.3989
Abstract
It 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 figures