LAGRANGIAN AND EULERIAN CHAOS IN ATMOSPHERIC MODELS

The Eulerian and Lagrangian representations of motion are widely used in hydrodynamics. One and the same flow can be described both by study ing the fields of velocity, pressure, and so forth (the Eulerian appro ach) and by considering the motion of fluid particles in the flow (the Lagrangian approach). Chaos can be observed in both cases. However, i ts presence for one representation does not necessarily lead to that f or the other. The corresponding examples are given. The equation of a barotropic vortex is considered in a bounded region. For the model und er consideration, numerical experiments have shown the presence of cha otic motions in the Lagrangian representation.