非线性系统
粘性液体
消散
维数之咒
摄动(天文学)
物理
色散(光学)
微扰理论(量子力学)
机械
经典力学
数学分析
数学
热力学
光学
量子力学
统计
作者
Jeffrey Topper,Takuji Kawahara
摘要
A systematic perturbation method is applied to three-dimensional long waves on a viscous liquid film, and the nonlinear evolution equation incorporating the effects of dissipation and dispersion is derived. It is shown that both the fourth-order derivative term as well as the three-dimensionality have stabilizing effects.
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