The exact solution of the Rossby adjustment problem
Mihaljan, John M.
- Publisher: Co-Action Publishing
arxiv: Astrophysics::Earth and Planetary Astrophysics
The exact solution of the Rossby (1938) adjustment problem is obtained. If a is the half-width of the initial current and Λ is the radius of deformation, it is shown that Rossby's solution is asymptotically valid for a/Λ <1. We examine the asymptotic solution for a/Λ >1. The exact energetic relations are obtained. The numerical examples of Rossby are recalculated with the exact solution.DOI: 10.1111/j.2153-3490.1963.tb01373.x