Abstract
We investigate particle trajectories in equatorial flows with geophysical corrections caused by the earth's rotation. Particle trajectories in the flows are constructed using pairs of analytic functions defined over the labelling space used in the Lagrangian formalism. Several classes of flow are investigated, and the physical regime in which each is valid is determined using the pressure distribution function of the flow, while the vorticity distribution of each flow is also calculated and found to be effected by earth's rotation.
| Original language | English (Ireland) |
|---|---|
| Pages (from-to) | 2399-2414 |
| Number of pages | 16 |
| Journal | Communications on Pure and Applied Analysis |
| Volume | 21 |
| Issue number | 7 |
| Early online date | Jan 2022 |
| DOIs | |
| Publication status | Published - 01 Jan 2022 |
Keywords
- 2-dimensional flows
- Geophysical flows
- Lagrangian variables
- particle trajectories
- vorticity