【摘要】 本文在浅水波假定下,采用垂向平均方法导出了三层流体模型的推广的Boussinesq方程;同时也给出了三层流体模型基于Airy理论的很长的长波方程、线性化波动方程以及单向传播波的KdV方程。这些方程在退化情形可化为二层、单层流体模型的相应方程。更多还原

【Abstract】 In this paper, based on the Boussinesq’s shallow-water wave assumption, the generalized Boussinesq equations for three-layer fluid model are derived by using the vertically-average method. The linearized wave equations, the very-long wave equations based on the Airy theory and the KdV equations for the three-layer fluid model are also presented. Those equations can be reduced to the corresponding equations for two-and one-layer fluid models in some special cases.更多还原