Near-resonant instability of geostrophic modes: beyond Greenspan's theorem
Near-resonant instability of geostrophic modes: beyond Greenspan's theorem
We explore the near-resonant interaction of inertial waves with geostrophic modes in rotating fluids via numerical and theoretical analysis. When a single inertial wave is imposed, we find that some geostrophic modes are unstable above a threshold value of the Rossby number $kRo$ based on the wavenumber and wave amplitude. …