TY - JOUR
T1 - Source Type Solutions of a Fourth Order Degenerate Parabolic Equation
JO - Journal of Partial Differential Equations
VL - 3
SP - 205
EP - 217
PY - 2009
DA - 2009/08
SN - 22
DO - http://doi.org/10.4208/jpde.v22.n3.2
UR - https://global-sci.org/intro/article_detail/jpde/5254.html
KW - Source type solutions
KW - degenerate parabolic equation
KW - existence
AB - <p>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 &lt; n &lt; 2p-1 and has no solution of this type if n ≥ 2p-1.</p>