Asymptotic solutions of the nonlinear eigenvalue problems in the multi-fieldcoupled dynamic equations
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摘要: 介绍由约束场和受重力影响的对流扰动耦合而成的衰减平衡向量场动力学方程的特征值渐近求解.通过引进新的参数,将一个复杂的三维约束耦合动力学特征方程转化成复空间里一维的边界层问题.通过进一步分析计算非线性特征值问题并 做了渐近摄动分析,最后给出多场耦合中扰动问题的特征值边界层解法.Abstract: This article solved the asymptotic solution of the eigenvalue problem in thedissipative equilibrium vector field of the coupled convection disturbance kineticequations under the constraind filed and the gravity. The approach is to use the new parameters to reduce the three-dimensional coupling dynamic equations into a one-dimensional complex space of boundary-layer. Further analysis and computing were given on the asymptotic solutions for the nonlinear eigenvalue problem. Finally, a boundary-layer eigenvalue analysis was performed to solve the field coupling perturbation in this paper.
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