@Article{JPDE-22-205, author = {Changchun Liu , Songzhe Lian and Zhao Wang }, title = {Source Type Solutions of a Fourth Order Degenerate Parabolic Equation}, journal = {Journal of Partial Differential Equations}, year = {2009}, volume = {22}, number = {3}, pages = {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.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v22.n3.2}, url = {http://global-sci.org/intro/article_detail/jpde/5254.html} }