| Weakly nonlinear stability of ultra-thin slipping films |
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| 作者姓名： | HU Guohui |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| 基金项目： | 国家自然科学基金，教育部留学回国人员科研启动基金 |
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| 摘 要： | A weakly nonlinear theory is presented to study the effects of slippage on the stability of the ultra-thin polymer films. The nonlinear mathematical model is constructed for perturbations of small finite amplitude based on hydrodynamic equations with the long wave approximation. Results reveal that the nonlinearity always accelerates the rupture of the films. The influences of the slip length, film thickness, and initial amplitude of perturbations on the rupture of the films are investigated.
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| 关 键 词： | ultra-thin film weakly nonlinear theory hydrodynamic stability rupture of thin film. |
Weakly nonlinear stability of ultra-thin slipping films |
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| HU Guohui.Weakly nonlinear stability of ultra-thin slipping films[J].Progress in Natural Science,2005,15(9):827-831. |
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| Authors: | HU Guohui |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
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| Abstract: | A weakly nonlinear theory is presented to study the effects of slippage on the stability of the ultra-thin polymer films.The nonlinear mathematical model is constructed for perturbations of small finite amplitude based on hydrodynamic equations with the long wave approximation. Results reveal that the nonlinearity always accelerates the rupture of the films. The influences of the slip length, film thickness, and initial amplitude of perturbations on the rupture of the films are investigated. |
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| Keywords: | ultra-thin film weakly nonlinear theory hydrodynamic stability rupture of thin film |
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