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

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

2009-01-26

arxiv.org/abs/0901.3989v1

Mathematics

Analysis of PDEs

39 pages, 16 figures

Scientific paper

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.

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