34 citations · 63 across the 19 of their papers we have counts for
5 papers · 1 filter
Strong solutions for the Alber equation and stability of unidirectional wave spectra
Agissilaos G. Athanassoulis, Gerassimos A. Athanassoulis, Mariya Ptashnyk +1
The Alber equation is a moment equation for the nonlinear Schrödinger equation, formally used in ocean engineering to investigate the stability of stationary and homogeneous sea st…
Are extreme dissipation events predictable in turbulent fluid flows?
Patrick J. Blonigan, Mohammad Farazmand, Themistoklis P. Sapsis
We derive precursors of extreme dissipation events in a turbulent channel flow. Using a recently developed method that combines dynamics and statistics for the underlying attractor…
Data-assisted reduced-order modeling of extreme events in complex dynamical systems
Zhong Yi Wan, Pantelis R. Vlachas, Petros Koumoutsakos +1
Dynamical systems with high intrinsic dimensionality are often characterized by extreme events having the form of rare transitions several standard deviations away from the mean. F…
Extreme Events: Mechanisms and Prediction
Mohammad Farazmand, Themistoklis P. Sapsis
Extreme events, such as rogue waves, earthquakes and stock market crashes, occur spontaneously in many dynamical systems. Because of their usually adverse consequences, quantificat…
Data-Driven Forecasting of High-Dimensional Chaotic Systems with Long Short-Term Memory Networks
Pantelis R. Vlachas, Wonmin Byeon, Zhong Y. Wan +2
We introduce a data-driven forecasting method for high-dimensional chaotic systems using long short-term memory (LSTM) recurrent neural networks. The proposed LSTM neural networks…