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Source Type Solutions of a Fourth Order Degenerate Parabolic Equation

Source Type Solutions of a Fourth Order Degenerate Parabolic Equation
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摘要 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.
作者 LIU Changchun LIAN Songzhe WANG Zhao
机构地区 Department of Mathematics
出处 《Journal of Partial Differential Equations》 2009年第3期205-217,共13页 偏微分方程（英文版）
基金 The research is supported in part by the National Natural Science Foundation of China （No. J0630104）.Source Type SoLutions of a Fourth Order Degenerate Parabolic Equation
关键词 Source type solutions degenerate parabolic equation existence.
分类号 O175.26 [理学—基础数学] X824 [环境科学与工程—环境工程]
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  • 3[3]Beretta, E., Bertsch, M. & Dal Passo, R., Nonnegative solutions of a fourth order nonlinear degenerate parabolic equation, Arch. Rational Mech. Anal., 129:2(1995), 175-200.
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Journal of Partial Differential Equations
2009年 第3期

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