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

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dc.creatorGalaktionov, V. A.
dc.date2009-01-26
dc.date.accessioned2026-07-07T12:34:32Z
dc.date.available2026-07-07T12:34:32Z
dc.descriptionIt 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.
dc.description39 pages, 16 figures
dc.identifierhttps://arxiv.org/abs/0901.3989
dc.identifierhttp://arxiv.org/abs/0901.3989
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217468
dc.subjectAnalysis of PDEs
dc.subject35K55, 35K40, 35K65
dc.titleOn self-similar collapse of discontinuous data for thin film equations with doubly degenerate mobility
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