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arXiv:0901.3989 [math.AP]AbstractReferencesReviewsResources

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

V. A. Galaktionov

Published 2009-01-26Version 1

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.

Comments: 39 pages, 16 figures
Categories: math.AP
Subjects: 35K55, 35K40, 35K65
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