Frozen patterns in a bearing field: applications to meteorological problems
Event details
| Date | 13.11.2013 |
| Hour | 17:15 › 18:00 |
| Speaker | Olga Rozanova (Moscow State University) |
| Location |
MA A3 31
|
| Category | Conferences - Seminars |
Hamiltonian Dynamics Seminar
Abstract: We study possible trajectories of a long time existing vortex in a model of the atmosphere dynamics, where the vortex can be interpreted as a tropical cyclone. The model can be obtained from the system of primitive equations governing the motion of air over the Earth’s surface after averaging over the height. We associate with a cyclone a special class of smooth solutions having a form of a localized steady non-singular vortex moving with a bearing field. We show that the solutions satisfy the equations of the model either exactly or with a discrepancy which is small in a neighborhood of the trajectory of the center of vortex. We show both analytically and numerically that the trajectory of a localized vortex keeps the features of trajectory of vortex with a linear profile of velocity, where the exact solution can be obtained. We discuss a possibility of existence of another structures (steady or unsteady) moving with a bearing field for different modifications of the model.
Abstract: We study possible trajectories of a long time existing vortex in a model of the atmosphere dynamics, where the vortex can be interpreted as a tropical cyclone. The model can be obtained from the system of primitive equations governing the motion of air over the Earth’s surface after averaging over the height. We associate with a cyclone a special class of smooth solutions having a form of a localized steady non-singular vortex moving with a bearing field. We show that the solutions satisfy the equations of the model either exactly or with a discrepancy which is small in a neighborhood of the trajectory of the center of vortex. We show both analytically and numerically that the trajectory of a localized vortex keeps the features of trajectory of vortex with a linear profile of velocity, where the exact solution can be obtained. We discuss a possibility of existence of another structures (steady or unsteady) moving with a bearing field for different modifications of the model.
Practical information
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Organizer
- Sonja Hohloch, Martins Bruveris, Tudor Ratiu