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Applied mathematics, Fluids and plasma physics
A derivation of the Ostrovsky equation for internal waves with methods of the Hamiltonian water wave dynamics is presented. The internal wave formed at a pycnocline or thermocline in the ocean is influenced by the Coriolis force of the Earth's rotation. The Ostrovsky equation arises in the long waves and small amplitude approximation and for certain geophysical scales of the physical variables.
R. Ivanov, On the Coriolis effect for internal ocean waves, in: Floating Offshore Energy Devices, eds: C. Mc Goldrick et al., Materials Research Proceedings 20 (2022) 20-25. https://doi.org/10.21741/9781644901731-3