Structural Stability of the Solutions of the Longitudinal Motion of a Cylinder in a Stratified Fluid

Abstract

The solutions of problems of formation of layered flows of stratified liquid caused by the motion of the bodies of a cylindrical form are constructed. Developed the technique of solving of the problems of the formation of flows of viscous stratified fluid in the form of time series, investigated the limits of its applicability. In framework of the system of embedded models has been studied the structural stability of solutions. It is shown that for flows of stratified fluid taking into account only one type of dissipation (viscosity) does not lead to completely smoothing of the velocity field; moreover determined the areas where the shift of velocity is increases unbounded with time. Demonstrated similarity and emphasize the difference in the behavior of solutions of plane and cylindrical geometry.