Abstract
In this paper we consider the two-dimensional barotropic-vorticity equation in the first quadrant, and using a rearrangement variational principle, prove it has a solution. The solution represents a steady localized topographic ideal flow. The data given are the behavior of the flow at infinity, the rearrangement class of the vorticity field and the height of the localized seamount.
| Original language | English |
|---|---|
| Pages (from-to) | 135-147 |
| Number of pages | 13 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 36 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2006 |
| Externally published | Yes |
Keywords
- Barotropic vorticity equation
- Rearrangements
- Semilinear elliptic equation
- Variational problems
- Vortices
ASJC Scopus subject areas
- General Mathematics
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Emamizadeh, B., & Bahrami, F. (2006). Existence of solutions for the barotropic-vorticity equation in an unbounded domain. Rocky Mountain Journal of Mathematics, 36(1), 135-147. https://doi.org/10.1216/rmjm/1181069492