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Source Type Solutions of a Fourth Order Degenerate Parabolic Equation
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@Article{JPDE-22-205,
author = {},
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} }
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 -
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.
Changchun Liu , Songzhe Lian & Zhao Wang . (2019). Source Type Solutions of a Fourth Order Degenerate Parabolic Equation.
Journal of Partial Differential Equations. 22 (3).
205-217.
doi:10.4208/jpde.v22.n3.2
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