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Explore the dynamics of zonally propagating waves in planetary-scale fluid flows through this 40-minute conference talk delivered at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into numerical solutions of the eigenvalue equation associated with the Linearized Rotating Shallow Water Equations on both equatorial and mid-latitude β-planes. Examine the effects of uniform and non-uniform mean zonal flows on wave propagation, including the Doppler shift phenomenon and the coalescence of dispersion curves. Investigate the conditions for instability in meridionally varying Gaussian jets and discover how these flows impact classical free Kelvin waves. Gain insights into the complex interactions between mean flows and wave dynamics in planetary-scale fluid systems.
