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Giovedì 23/4/2026 alle ore 16:00, Ricardo Grande Izquierdo (SISSA) terrà un Seminario di Analisi Matematica dal titolo "Extreme waves and large deviations for 2D pure gravity deep water waves".
Abstract: We study the formation of extreme waves from a statistical viewpoint in the context of the pure gravity water wave equations in deep water. We quantify their probability under random Gaussian sea initial data up to the optimal timescales allowed by deterministic well-posedness theory. The proof shows that rogue waves most likely arise through "dispersive focusing", where phase synchronization produces constructive amplification of the water crest. The main difficulty in justifying this mechanism is propagating statistical information over such long timescales, which we overcome by combining normal forms and probabilistic methods. Unlike previous results, this new approach does not require approximate solutions to be Gaussian. Joint work with M. Berti, A. Maspero and G. Staffilani.
Il seminario si svolgerà in presenza presso il Dipartimento di Matematica e Fisica, Lungotevere Dante 376, aula M3
