层状水平非均匀介质中的重力波
Internal gravity waves in stratified horizontally inhomogeneous media
摘要：
研究了在随空间和时间变化的分层介质中运动的点源产生的重力波。与内部重力波的长度相比，密度变化的特征水平尺度可能很大，这一事实使得有可能通过类似于WKB方法的近似方法来解决这个问题。因此，在研究水平分层非均匀非定常介质中点源运动产生内重力波问题时，必须以一种特殊类型的波--艾里波和菲涅耳波的形式来求解各模式的解，其中特殊的函数允许描述内重力波场结构，包括离各模式波阵面的近场和远场。然后将问题归结为求解程函方程，并在其特征上满足守恒律。
英文摘要：
The problem of internal gravity waves generation by a point source moving in a stratified medium varying with respect to all spatial variables and time is considered. The fact that the characteristic horizontal scales of density variation may be large as compared with lengths of internal gravity waves makes it possible to solve this problem by means of an approximate method analogous to the WKB method. Therefore, in investigating the problem of internal gravity waves generation by a point source moving in a stratified horizontally inhomogeneous unsteady medium solution for individual mode must be sougth in the form of waves of a special type - Airy and Fresnel waves, where special functions allow to describe internal gravity waves field structure both near and far from individual mode wave front. Then the problem is reduced to the solution of the eikonal equation with some conservation laws perfomed at its characteristics.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
