ON PROBLEM OF ROSSBY AND POINCARE ATMOSPHERIC WAVES SEPARATION AND SPECTRA

Abstract

We propose a new inverse problem formulation based on the hydrodynamics consideration of a gas/water fluid that results in planetary waves diagnostics. We analyze such a possibility beginning from a simplest version of geophysical hydrodynamics, written in the 𝛽-plane model. The problem of diagnostics is solved approximately after expansion with respect to the transverse basis functions applying projecting to Rossby and Poincare waves in each transverse subspace that contains its superposition. The corresponding discrete version of the operators is built to be applied to the observation data.

Keywords

• geophysical hydrodynamics
• Rossby and Poincare waves
• projecting operators
• inverse problem
• regularization
• PACS