CORDIS Project
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This project aims to provide mathematical proofs for complex behaviors in fluid dynamics, such as energy cascades and rogue wave formation. It focuses on understanding the long-term dynamics of water waves and geophysical fluid equations through rigorous theoretical approaches.
This project aims to prove rigorous results on the generation of unstable dynamics in the dispersive Hamiltonian water waves and geophysical fluid equations:
I refer to the outstanding open problems of the formation of energy cascades from low to high frequencies, orbital instabilities and extreme rare phenomena such as rogue waves.
All these behaviors are well documented in experiments, real world data and numerical simulations, but still lack a rigorous mathematical proof.
Accordingly the proj…
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