Weakly nonlinear statistics of high random waves

DOI10.1063/1.1831311zbMath1187.76148OpenAlexW2041429413MaRDI QIDQ3554860

Francesco Fedele, Felice Arena

Publication date: 22 April 2010

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.1831311

zbMATH Keywords

Gaussian processesMonte Carlo methodsrandom processessurface waves (fluid)

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

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Cites Work

• Unnamed Item
• Extremal theory for stochastic processes
• On ocean waves with high crests
• A family of narrow-band non-linear stochastic processes for the mechanics of sea waves
• Tail probabilities of the maxima of Gaussian random fields
• Local maxima of Gaussian fields
• Large Excursions of Gaussian Processes
• On weakly nonlinear modulation of waves on deep water
• Dynamics and Modelling of Ocean Waves
• On reduced equations in the Hamiltonian theory of weakly nonlinear surface waves
• The effect of non-linearities on statistical distributions in the theory of sea waves
• Some Properties of a Normal Process Near a Local Maximum