Analysis of the Displacement Field for Localized Disturbances in a Stratified Fluid with Shear,

摘要

An initial-value problem is studied for two-dimensional density perturbations of finite amplitude in an incompressible, viscous, stratified fluid. A background shear flow is permitted. Certain characteristics of the net displacement field are demonstrated to be directly computable from the initial data. An inverse problem is studied, and it is shown how characteristics of the initial density perturbation can be deduced from knowledge of the initial and final shapes of the region containing the initial density perturbation.