Year: 2009
Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 3 : pp. 205–217
Abstract
In this paper, we study a generalized thin film equation which is relevant to capillary driven flows of thin films of power-law fluids. We prove that the generalized thin film equation in dimension d ≥ 2 has a unique C^1 source type radial self-similar nonnegative solution if 0 < n < 2p-1 and has no solution of this type if n ≥ 2p-1.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v22.n3.2
Journal of Partial Differential Equations, Vol. 22 (2009), Iss. 3 : pp. 205–217
Published online: 2009-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: Source type solutions