Uploaded January 2026 | Updated September 2026, 2 weeks ago
I will talk about some recent work on the problem of establishing rigorously a wave turbulence theory for water waves systems. This is a classical problem in Mathematical Physics, going back to pioneering work of Hasselmann. To address it we propose a new mechanism, based on a combination of two main ingredients: (1) deterministic energy estimates for all solutions that are small in $L^\infty$-based norms, and
(2) probabilistic arguments aimed at understanding propagation of randomness on long time intervals.
This is joint work with Yu Deng and Fabio Pusateri.
Alexandru Ionescu (Princeton University)
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Find this and many more scientific videos on carmin.tv - a French video platform for mathematics and their interactions with other sciences offering extra functionalities tailored to meet the needs of the research community.
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I will talk about some recent work on the problem of establishing rigorously a wave turbulence theory for water waves systems. This is a classical problem in Mathematical Physics, going back to pioneering work of Hasselmann. To address it we propose a new mechanism, based on a combination of two main ingredients: (1) deterministic energy estimates for all solutions that are small in $L^\infty$-based norms, and
(2) probabilistic arguments aimed at understanding propagation of randomness on long time intervals.
This is joint work with Yu Deng and Fabio Pusateri.
Alexandru Ionescu (Princeton University)
===
Find this and many more scientific videos on carmin.tv - a French video platform for mathematics and their interactions with other sciences offering extra functionalities tailored to meet the needs of the research community.
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